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Quantitative Analysis for Management
Quiz 3: Decision Analysis
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Question 101
Essay
The ABC Co.is considering a new consumer product.They believe that the XYZ Co.may come out with a competing product.If ABC adds an assembly line for the product and XYZ does not follow with a competitive product, their expected profit is $40,000; if they add an assembly line and XYZ does follow, they still expect a $10,000 profit.If ABC adds a new plant addition and XYZ does not produce a competitive product, they expect a profit of $600,000; if XYZ does compete for this market, ABC expects a loss of $100,000.For what value of probability that XYZ will offer a competing product will ABC be indifferent between the alternatives?
Question 102
Essay
A decision maker is faced with a decision making under uncertainty situation in a national election.He lays out his decision table and begins to enter equal probabilities for all states of nature into his spreadsheet.He feels uneasy doing so, reasoning that it can't possibly be as likely that one candidate will win every tossup state.Advise the decision maker on an appropriate course of action in completing the decision table.
Question 103
Essay
Mark M.Upp has just been fired as the university bookstore manager for setting prices too low (only 20 percent above suggested retail).He is considering opening a competing bookstore near the campus, and he has begun an analysis of the situation.There are two possible sites under consideration.One is relatively small while the other is large.If he opens at Site 1 and demand is good, he will generate a profit of $50,000.If demand is low, he will lose $10,000.If he opens at Site 2 and demand is high he will generate a profit of $80,000, but he will lose $30,000 if demand is low.He also has decided that he will open at one of these sites.He believes that there is a 60 percent chance that demand will be high.He assigns the following utilities to the different profits: U(50,000)= 0.72 U(-10,000)= 0.22 U(80,000)= 1 U(-30,000)= 0 Using expected utility theory, what should Mark do?
Question 104
Essay
David S Pumpkins is planning to open a sporting goods store.However, the initial investment is $120,000.He currently has this money in a certificate of deposit earning 10 percent.He may leave it there if he decides not to open the store.If he opens the store and it is successful he will generate a profit of $50,000.If it is not successful, he will lose $90,000.What would the probability of a successful store have to be for David to prefer this to investing in a CD?
Question 105
Short Answer
Before a market survey is done, there is a 50/50 chance that a new soccer supply store would be a success.The people doing the survey have determined that there is a 0.9 probability that the survey will be favorable given a successful store.There is also a 0.75 probability that the survey will be unfavorable given an unsuccessful store.What is the probability that the survey will be unfavorable?
Question 106
Essay
The following payoff table provides profits based on various possible decision alternatives and various levels of demand.
The probability of a low demand is 0.4, while the probability of a medium and high demand is each 0.3. (a)What decision would an optimist make? (b)What decision would a pessimist make? (c)What is the highest possible expected monetary value? (d)Calculate the expected value of perfect information for this situation.
Question 107
Short Answer
Suppose that the payoff from an investment depends upon market conditions.A great market has a payoff of $200,000, a normal market has a payoff of $100,000, and a poor market has a payoff of $20,000.Using an α-value of 0.3, what is the criterion of realism value?
Question 108
Essay
Briefly describe decision making under risk.
Question 109
Short Answer
Before a marketing research study was done, John Colorado believed there was a 50/50 chance that his music store would be a success.The research team determined that there is a 0.9 probability that the marketing research will be favorable given a successful music store.There is also a 0.8 probability that the marketing research will be unfavorable given an unsuccessful music store. (a)If the marketing research is favorable, what is the revised probability of an unsuccessful music store? (b)If the marketing research is unfavorable, what is the revised probability of an unsuccessful music store?
Question 110
Essay
A company is considering expansion of its current facility to meet increasing demand.A major expansion would cost $500,000, while a minor expansion would cost $200,000.If demand is high in the future, the major expansion would result in an additional profit of $800,000, but if demand is low, then there would be a loss of $500,000.If demand is high, the minor expansion will result in an increase in profits of $200,000, but if demand is low, then there is a loss of $100,000.The company has the option of not expanding.For what probability of a high demand will the company be indifferent between the two expansion alternatives?
Question 111
Essay
Mark M.Upp has just been fired as the university bookstore manager for setting prices too low (only 20 percent above suggested retail).He is considering opening a competing bookstore near the campus, and he has begun an analysis of the situation.There are two possible sites under consideration.One is relatively small, while the other is large.If he opens at Site 1 and demand is good, he will generate a profit of $50,000.If demand is low, he will lose $10,000.If he opens at Site 2 and demand is high, he will generate a profit of $80,000, but he will lose $30,000 if demand is low.He also has the option of not opening either.He believes that there is a 50 percent chance that demand will be high.Mark can purchase a market research study.The probability of a good demand given a favorable study is 0.8.The probability of a good demand given an unfavorable study is 0.1.There is a 60 percent chance that the study will be favorable.Should Mark use the study? Why? What is the maximum amount Mark should be willing to pay for this study? What is the maximum amount he should pay for any study?
Question 112
Short Answer
A market research survey is available for $5,000.Using a decision tree analysis, it is found that the expected monetary value with no survey is $49,000.If the expected value of sample information is -$4,000, what is the expected monetary value with the survey?
Question 113
Essay
Mark M.Upp has just been fired as the university bookstore manager for setting prices too low (only 20 percent above suggested retail).He is considering opening a competing bookstore near the campus, and he has begun an analysis of the situation.There are two possible sites under consideration.One is relatively small, while the other is large.If he opens at Site 1 and demand is good, he will generate a profit of $50,000.If demand is low, he will lose $10,000.If he opens at Site 2 and demand is high, he will generate a profit of $80,000, but he will lose $30,000 if demand is low.He also has the option of not opening at either site.He believes that there is a 50 percent chance that demand will be high.A market research study will cost $5,000.The probability of a good demand given a favorable study is 0.8.The probability of a good demand given an unfavorable study is 0.1.There is a 60 percent chance that the study will be favorable. (a)Should Mark use the study? Why? (b)If the study is done and the results are favorable, what would Mark's expected profit be?
Question 114
Short Answer
Suppose that the payoff from an investment depends upon market conditions.A great market has a payoff of $200,000, a normal market has a payoff of $100,000, and a poor market has a payoff of $20,000.What is the Laplace criterion value?