Deck 2: Supplement Operational Decision-Making Tools: Decision Analysis

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سؤال
A payoff table is a quantitative technique supporting decision-making under uncertainty.
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سؤال
A decision criterion in which the decision payoffs are weighted by a coefficient of optimism is known as the Hurwicz criterion.
سؤال
The maximum value of perfect information to the decision maker is known as

A)the expected value of perfect information.
B)the expected value of imperfect information.
C)the minimum of the minimax regret.
D)None of these answers is correct.
سؤال
Quantitative methods are tools available to operations managers to help make a decision but not a recommendation.
سؤال
The most widely used decision-making criterion for situations with risk is expected value.
سؤال
Decision analysis is a quantitative technique supporting decision-making with uncertainty.
سؤال
When probabilities are assigned to states of nature the situation is referred to as decision-making under uncertainty.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the maximax criterion would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose increasing demand. <div style=padding-top: 35px> The best decision for Fairco using the maximax criterion would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose increasing demand.
سؤال
In a decision-making situation,the events that may occur in the future are known as states of nature.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the Hurwicz criterion with a coefficient of optimism equal to 0.80 would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose stable demand. <div style=padding-top: 35px> The best decision for Fairco using the Hurwicz criterion with a coefficient of optimism equal to 0.80 would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose stable demand.
سؤال
A sequential decision tree is a graphical method for analyzing decision situations that require a sequence of decisions over time.
سؤال
Which of the following techniques is the most widely used decision-making criterion under risk?

A)maximax criterion
B)minimax regret criterion
C)expected value criterion
D)Hurwicz criterion
سؤال
The LaPlace criterion is a decision criterion in which each state of nature is weighted equally.
سؤال
Quantitative methods are tools available to operations managers to help make a decision or recommendation.
سؤال
When probabilities can be assigned to the occurrence of states of nature in the future,the situation is referred to as

A)decision-making under risk.
B)decision-making under certainty.
C)decision-making under uncertainty.
D)None of these answers is correct.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the equal likelihood criterion would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose increasing demand. <div style=padding-top: 35px> The best decision for Fairco using the equal likelihood criterion would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose increasing demand.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the minimax regret decision criterion would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose decreasing demand. <div style=padding-top: 35px> The best decision for Fairco using the minimax regret decision criterion would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose decreasing demand.
سؤال
The outcome of a decision is referred to as a payoff.
سؤال
A decision criterion that results in the maximum of the minimum payoffs is called a maximin criterion.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the maximin criterion would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose stable demand. <div style=padding-top: 35px> The best decision for Fairco using the maximin criterion would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose stable demand.
سؤال
Consider the following payoff table with amounts in $ millions. <strong>Consider the following payoff table with amounts in $ millions.   If you are using Hurwicz and decide d<sub>3</sub>,then the coefficient of optimism,α,is ______.</strong> A)undetermined;there is not enough information to find the answer B)unfeasible;there is no value of α that would make you choose d<sub>3</sub> C)larger than 0.85 D)less than 0.83 <div style=padding-top: 35px> If you are using Hurwicz and decide d3,then the coefficient of optimism,α,is ______.

A)undetermined;there is not enough information to find the answer
B)unfeasible;there is no value of α that would make you choose d3
C)larger than 0.85
D)less than 0.83
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The expected value of perfect information for Kallie Inc.is</strong> A)$1,210,000. B)$700,000. C)$510,000. D)$312,500. <div style=padding-top: 35px> The expected value of perfect information for Kallie Inc.is

A)$1,210,000.
B)$700,000.
C)$510,000.
D)$312,500.
سؤال
Kallie Inc. ,a,small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a,small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc. ,using the Hurwicz decision criterion with a coefficient of optimism equal to 0.3 is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)make no decision. <div style=padding-top: 35px> The best decision for Kallie Inc. ,using the Hurwicz decision criterion with a coefficient of optimism equal to 0.3 is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)make no decision.
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc.using the maximin decision criterion is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)select high demand. <div style=padding-top: 35px> The best decision for Kallie Inc.using the maximin decision criterion is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)select high demand.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   If the expected value criterion is used,then the best decision would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose the stable demand. <div style=padding-top: 35px> If the expected value criterion is used,then the best decision would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose the stable demand.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   The expected value for the large investment decision is</strong> A)$700,000. B)$540,000. C)$330,000. D)$165,000. <div style=padding-top: 35px> The expected value for the large investment decision is

A)$700,000.
B)$540,000.
C)$330,000.
D)$165,000.
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc.using the maximax decision criterion is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)select high demand. <div style=padding-top: 35px> The best decision for Kallie Inc.using the maximax decision criterion is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)select high demand.
سؤال
Fairco,a family business is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   The expected value of perfect information for Fairco is</strong> A)$602,500. B)$540,000. C)$62,500. D)$25,000. <div style=padding-top: 35px> The expected value of perfect information for Fairco is

A)$602,500.
B)$540,000.
C)$62,500.
D)$25,000.
سؤال
Kallie Inc. ,a,small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a,small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The expected value for the expand facilities decision is</strong> A)$250,000. B)$160,000. C)$700,000. D)$1,200,000. <div style=padding-top: 35px> The expected value for the expand facilities decision is

A)$250,000.
B)$160,000.
C)$700,000.
D)$1,200,000.
سؤال
Consider the following payoff table,where the amounts are in $ millions: <strong>Consider the following payoff table,where the amounts are in $ millions:   If you are using Hurwicz criterion with α = 0.45 (where α is the coefficient of optimism)and decide d<sub>3</sub>,then x is ______.</strong> A)unfeasible;there is no value of x that would make you choose d<sub>3</sub> B)larger than 4 C)larger than 6.5 D)larger than 11.16 <div style=padding-top: 35px> If you are using Hurwicz criterion with α = 0.45 (where α is the coefficient of optimism)and decide d3,then x is ______.

A)unfeasible;there is no value of x that would make you choose d3
B)larger than 4
C)larger than 6.5
D)larger than 11.16
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The value of the Hurwicz decision criterion for subcontract production when the coefficient of optimism is 0.30 is</strong> A)$92,500. B)$182,500. C)$250,000. D)$275,000. <div style=padding-top: 35px> The value of the Hurwicz decision criterion for subcontract production when the coefficient of optimism is 0.30 is

A)$92,500.
B)$182,500.
C)$250,000.
D)$275,000.
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The expected value for the subcontract production decision is</strong> A)$250,000 B)$160,000 C)$700,000 D)$1,200,000 <div style=padding-top: 35px> The expected value for the subcontract production decision is

A)$250,000
B)$160,000
C)$700,000
D)$1,200,000
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The expected value for the acquire competitor decision is</strong> A)$250,000. B)$160,000. C)$700,000. D)$1,200,000. <div style=padding-top: 35px> The expected value for the acquire competitor decision is

A)$250,000.
B)$160,000.
C)$700,000.
D)$1,200,000.
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc.using the minimax regret decision criterion is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)select high demand. <div style=padding-top: 35px> The best decision for Kallie Inc.using the minimax regret decision criterion is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)select high demand.
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc.using the equal likelihood criterion is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)select high demand. <div style=padding-top: 35px> The best decision for Kallie Inc.using the equal likelihood criterion is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)select high demand.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   The expected value for the medium investment decision is</strong> A)$600,000. B)$540,000. C)$330,000. D)$165,000. <div style=padding-top: 35px> The expected value for the medium investment decision is

A)$600,000.
B)$540,000.
C)$330,000.
D)$165,000.
سؤال
A small parts manufacturer has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>A small parts manufacturer has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The best decision according to the expected value criterion is</strong> A)Acquire Competitor. B)Expand Facilities. C)Subcontract Production. D)High Demand <div style=padding-top: 35px> The best decision according to the expected value criterion is

A)Acquire Competitor.
B)Expand Facilities.
C)Subcontract Production.
D)High Demand
سؤال
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The regret that is associated with the decision to acquire competitor when demand is low is</strong> A)$0. B)$525,000. C)$1,250,000. D)$1,275,000. <div style=padding-top: 35px> The regret that is associated with the decision to acquire competitor when demand is low is

A)$0.
B)$525,000.
C)$1,250,000.
D)$1,275,000.
سؤال
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   The expected value for the small investment decision is</strong> A)$540,000. B)$400,000. C)$330,000. D)$165,000. <div style=padding-top: 35px> The expected value for the small investment decision is

A)$540,000.
B)$400,000.
C)$330,000.
D)$165,000.
سؤال
What is decision analysis?
سؤال
Consider the following payoff table with amounts in $ millions. <strong>Consider the following payoff table with amounts in $ millions.   The column with investments lists mutually exclusive investment decisions.If you use the expected value criterion and you are indifferent between investments d<sub>2</sub> and d<sub>3</sub>,then the probability that you assign to the state of nature S<sub>2</sub> is __________.</strong> A)at least 0.45 B)at most 0.5 C)0)5 D)at least 0.5 <div style=padding-top: 35px> The column with investments lists mutually exclusive investment decisions.If you use the expected value criterion and you are indifferent between investments d2 and d3,then the probability that you assign to the state of nature S2 is __________.

A)at least 0.45
B)at most 0.5
C)0)5
D)at least 0.5
سؤال
Consider the following payoff table with amounts in $ millions. <strong>Consider the following payoff table with amounts in $ millions.   The column with investments lists mutually exclusive investment decisions.If you use the expected value criterion and you choose investment d<sub>2</sub>,then the probability that you assign to the state of nature S<sub>1</sub> is __________.</strong> A)more than 0.25 and less than 0.67 B)more than 0.33 and less than 0.67 C)more than 0.25 and less than 0.5 D)more than 0.33 and less than 0.5 <div style=padding-top: 35px> The column with investments lists mutually exclusive investment decisions.If you use the expected value criterion and you choose investment d2,then the probability that you assign to the state of nature S1 is __________.

A)more than 0.25 and less than 0.67
B)more than 0.33 and less than 0.67
C)more than 0.25 and less than 0.5
D)more than 0.33 and less than 0.5
سؤال
Consider the following payoff table with amounts in $ millions. <strong>Consider the following payoff table with amounts in $ millions.   If you are using the maximin criterion and decide d<sub>4</sub>,then x is ______.</strong> A)at most −1 B)less than −1 C)any value D)cannot be determined without knowing the value of y <div style=padding-top: 35px> If you are using the maximin criterion and decide d4,then x is ______.

A)at most −1
B)less than −1
C)any value
D)cannot be determined without knowing the value of y
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Deck 2: Supplement Operational Decision-Making Tools: Decision Analysis
1
A payoff table is a quantitative technique supporting decision-making under uncertainty.
True
2
A decision criterion in which the decision payoffs are weighted by a coefficient of optimism is known as the Hurwicz criterion.
True
3
The maximum value of perfect information to the decision maker is known as

A)the expected value of perfect information.
B)the expected value of imperfect information.
C)the minimum of the minimax regret.
D)None of these answers is correct.
A
4
Quantitative methods are tools available to operations managers to help make a decision but not a recommendation.
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5
The most widely used decision-making criterion for situations with risk is expected value.
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6
Decision analysis is a quantitative technique supporting decision-making with uncertainty.
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7
When probabilities are assigned to states of nature the situation is referred to as decision-making under uncertainty.
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8
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the maximax criterion would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose increasing demand. The best decision for Fairco using the maximax criterion would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose increasing demand.
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9
In a decision-making situation,the events that may occur in the future are known as states of nature.
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10
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the Hurwicz criterion with a coefficient of optimism equal to 0.80 would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose stable demand. The best decision for Fairco using the Hurwicz criterion with a coefficient of optimism equal to 0.80 would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose stable demand.
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11
A sequential decision tree is a graphical method for analyzing decision situations that require a sequence of decisions over time.
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12
Which of the following techniques is the most widely used decision-making criterion under risk?

A)maximax criterion
B)minimax regret criterion
C)expected value criterion
D)Hurwicz criterion
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13
The LaPlace criterion is a decision criterion in which each state of nature is weighted equally.
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14
Quantitative methods are tools available to operations managers to help make a decision or recommendation.
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15
When probabilities can be assigned to the occurrence of states of nature in the future,the situation is referred to as

A)decision-making under risk.
B)decision-making under certainty.
C)decision-making under uncertainty.
D)None of these answers is correct.
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16
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the equal likelihood criterion would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose increasing demand. The best decision for Fairco using the equal likelihood criterion would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose increasing demand.
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17
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the minimax regret decision criterion would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose decreasing demand. The best decision for Fairco using the minimax regret decision criterion would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose decreasing demand.
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18
The outcome of a decision is referred to as a payoff.
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19
A decision criterion that results in the maximum of the minimum payoffs is called a maximin criterion.
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20
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The following payoff table describes the decision situation.   The best decision for Fairco using the maximin criterion would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose stable demand. The best decision for Fairco using the maximin criterion would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose stable demand.
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21
Consider the following payoff table with amounts in $ millions. <strong>Consider the following payoff table with amounts in $ millions.   If you are using Hurwicz and decide d<sub>3</sub>,then the coefficient of optimism,α,is ______.</strong> A)undetermined;there is not enough information to find the answer B)unfeasible;there is no value of α that would make you choose d<sub>3</sub> C)larger than 0.85 D)less than 0.83 If you are using Hurwicz and decide d3,then the coefficient of optimism,α,is ______.

A)undetermined;there is not enough information to find the answer
B)unfeasible;there is no value of α that would make you choose d3
C)larger than 0.85
D)less than 0.83
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22
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The expected value of perfect information for Kallie Inc.is</strong> A)$1,210,000. B)$700,000. C)$510,000. D)$312,500. The expected value of perfect information for Kallie Inc.is

A)$1,210,000.
B)$700,000.
C)$510,000.
D)$312,500.
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23
Kallie Inc. ,a,small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a,small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc. ,using the Hurwicz decision criterion with a coefficient of optimism equal to 0.3 is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)make no decision. The best decision for Kallie Inc. ,using the Hurwicz decision criterion with a coefficient of optimism equal to 0.3 is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)make no decision.
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24
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc.using the maximin decision criterion is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)select high demand. The best decision for Kallie Inc.using the maximin decision criterion is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)select high demand.
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25
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   If the expected value criterion is used,then the best decision would be to</strong> A)make the large investment. B)make the medium investment. C)make the small investment. D)choose the stable demand. If the expected value criterion is used,then the best decision would be to

A)make the large investment.
B)make the medium investment.
C)make the small investment.
D)choose the stable demand.
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26
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   The expected value for the large investment decision is</strong> A)$700,000. B)$540,000. C)$330,000. D)$165,000. The expected value for the large investment decision is

A)$700,000.
B)$540,000.
C)$330,000.
D)$165,000.
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27
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc.using the maximax decision criterion is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)select high demand. The best decision for Kallie Inc.using the maximax decision criterion is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)select high demand.
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28
Fairco,a family business is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   The expected value of perfect information for Fairco is</strong> A)$602,500. B)$540,000. C)$62,500. D)$25,000. The expected value of perfect information for Fairco is

A)$602,500.
B)$540,000.
C)$62,500.
D)$25,000.
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29
Kallie Inc. ,a,small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a,small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The expected value for the expand facilities decision is</strong> A)$250,000. B)$160,000. C)$700,000. D)$1,200,000. The expected value for the expand facilities decision is

A)$250,000.
B)$160,000.
C)$700,000.
D)$1,200,000.
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30
Consider the following payoff table,where the amounts are in $ millions: <strong>Consider the following payoff table,where the amounts are in $ millions:   If you are using Hurwicz criterion with α = 0.45 (where α is the coefficient of optimism)and decide d<sub>3</sub>,then x is ______.</strong> A)unfeasible;there is no value of x that would make you choose d<sub>3</sub> B)larger than 4 C)larger than 6.5 D)larger than 11.16 If you are using Hurwicz criterion with α = 0.45 (where α is the coefficient of optimism)and decide d3,then x is ______.

A)unfeasible;there is no value of x that would make you choose d3
B)larger than 4
C)larger than 6.5
D)larger than 11.16
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31
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The value of the Hurwicz decision criterion for subcontract production when the coefficient of optimism is 0.30 is</strong> A)$92,500. B)$182,500. C)$250,000. D)$275,000. The value of the Hurwicz decision criterion for subcontract production when the coefficient of optimism is 0.30 is

A)$92,500.
B)$182,500.
C)$250,000.
D)$275,000.
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32
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The expected value for the subcontract production decision is</strong> A)$250,000 B)$160,000 C)$700,000 D)$1,200,000 The expected value for the subcontract production decision is

A)$250,000
B)$160,000
C)$700,000
D)$1,200,000
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33
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The expected value for the acquire competitor decision is</strong> A)$250,000. B)$160,000. C)$700,000. D)$1,200,000. The expected value for the acquire competitor decision is

A)$250,000.
B)$160,000.
C)$700,000.
D)$1,200,000.
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34
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc.using the minimax regret decision criterion is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)select high demand. The best decision for Kallie Inc.using the minimax regret decision criterion is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)select high demand.
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35
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The best decision for Kallie Inc.using the equal likelihood criterion is to</strong> A)expand facilities. B)acquire competitor. C)subcontract production. D)select high demand. The best decision for Kallie Inc.using the equal likelihood criterion is to

A)expand facilities.
B)acquire competitor.
C)subcontract production.
D)select high demand.
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36
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   The expected value for the medium investment decision is</strong> A)$600,000. B)$540,000. C)$330,000. D)$165,000. The expected value for the medium investment decision is

A)$600,000.
B)$540,000.
C)$330,000.
D)$165,000.
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37
A small parts manufacturer has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation. <strong>A small parts manufacturer has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand,with probabilities of 0.6 and 0.4,respectively.The following payoff table describes the company's decision situation.   The best decision according to the expected value criterion is</strong> A)Acquire Competitor. B)Expand Facilities. C)Subcontract Production. D)High Demand The best decision according to the expected value criterion is

A)Acquire Competitor.
B)Expand Facilities.
C)Subcontract Production.
D)High Demand
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38
Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation. <strong>Kallie Inc. ,a small parts manufacturer,has just engineered a new product for the automotive industry.In order to produce the part the company can expand existing facilities,acquire a competitor,or subcontract production.The company believes the product will either experience high market demand or low market demand.The following payoff table describes the company's decision situation.   The regret that is associated with the decision to acquire competitor when demand is low is</strong> A)$0. B)$525,000. C)$1,250,000. D)$1,275,000. The regret that is associated with the decision to acquire competitor when demand is low is

A)$0.
B)$525,000.
C)$1,250,000.
D)$1,275,000.
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39
Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation. <strong>Fairco,a family business,is considering making an investment in its manufacturing operation.Three decisions are under consideration: (1)a large investment; (2)a medium investment;and (3)a small investment.The business believes that there are three possible future outcomes for its product: (1)increasing demand; (2)stable demand;and (3)decreasing demand.The business believes that the probability for increasing,stable and decreasing product demand are 0.4,0.5,and 0.1,respectively.The following payoff table describes the decision situation.   The expected value for the small investment decision is</strong> A)$540,000. B)$400,000. C)$330,000. D)$165,000. The expected value for the small investment decision is

A)$540,000.
B)$400,000.
C)$330,000.
D)$165,000.
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40
What is decision analysis?
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41
Consider the following payoff table with amounts in $ millions. <strong>Consider the following payoff table with amounts in $ millions.   The column with investments lists mutually exclusive investment decisions.If you use the expected value criterion and you are indifferent between investments d<sub>2</sub> and d<sub>3</sub>,then the probability that you assign to the state of nature S<sub>2</sub> is __________.</strong> A)at least 0.45 B)at most 0.5 C)0)5 D)at least 0.5 The column with investments lists mutually exclusive investment decisions.If you use the expected value criterion and you are indifferent between investments d2 and d3,then the probability that you assign to the state of nature S2 is __________.

A)at least 0.45
B)at most 0.5
C)0)5
D)at least 0.5
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42
Consider the following payoff table with amounts in $ millions. <strong>Consider the following payoff table with amounts in $ millions.   The column with investments lists mutually exclusive investment decisions.If you use the expected value criterion and you choose investment d<sub>2</sub>,then the probability that you assign to the state of nature S<sub>1</sub> is __________.</strong> A)more than 0.25 and less than 0.67 B)more than 0.33 and less than 0.67 C)more than 0.25 and less than 0.5 D)more than 0.33 and less than 0.5 The column with investments lists mutually exclusive investment decisions.If you use the expected value criterion and you choose investment d2,then the probability that you assign to the state of nature S1 is __________.

A)more than 0.25 and less than 0.67
B)more than 0.33 and less than 0.67
C)more than 0.25 and less than 0.5
D)more than 0.33 and less than 0.5
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43
Consider the following payoff table with amounts in $ millions. <strong>Consider the following payoff table with amounts in $ millions.   If you are using the maximin criterion and decide d<sub>4</sub>,then x is ______.</strong> A)at most −1 B)less than −1 C)any value D)cannot be determined without knowing the value of y If you are using the maximin criterion and decide d4,then x is ______.

A)at most −1
B)less than −1
C)any value
D)cannot be determined without knowing the value of y
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