Question 1

The normal-time project cost does not depend on what crashing decisions are made.As a result, total crash costs can be minimized for a linear programming objective.

Accepted Answer

The normal-time project cost is fixed and does not change regardless of the crashing decisions made. Therefore, the total crash costs can be minimized by optimizing the crashing decisions within the constraints of the project schedule and budget.

Question 2

The constraint that requires the beginning inventory plus production minus sales to equal the ending inventory is called material-balance equation.

Accepted Answer

The material-balance equation (also known as the inventory equation) is a fundamental accounting equation that states the beginning inventory plus production minus sales is equal to the ending inventory.

Question 3

Any particular combination of decision variables is referred to as a(n) ____.
A)Objective
B)Solution
C)Constraint
D)Optimization

Accepted Answer

A combination of decision variables that satisfies all constraints and optimizes the objective function is referred to as a solution. Option A refers to the goal of the optimization problem. Option C refers to the conditions that the solution must satisfy. Option D refers to the overall process of finding the best solution.

Question 4

(Ending inventory from the previous month) + (current production) - (ending inventory this month) =
A)Production rate change
B)This month's demand
C)Amount of overtime/under-time
D)Next month's inventory

Accepted Answer

This equation represents the calculation of this month's demand, as it accounts for the inventory carried over, the production added, and the inventory remaining at the end of the month.

Question 5

(a month's production) + (beginning inventory) - (ending inventory) - (number of lost sales for the month) =
A)Overtime limits
B)Demand in the month
C)Increase in product
D)Decrease in production

Accepted Answer

Demand in the month is equal to the sum of a month's production and beginning inventory, minus ending inventory and lost sales for the month.

Question 6

The transportation problem is a special type of linear programming that arises in planning the distribution of goods and services from only one supply point to several demand locations.

Accepted Answer

The transportation problem is a type of linear programming problem that involves distributing goods and services from multiple supply points to multiple demand locations, not just from one supply point.

Question 7

For linear programming to work for project crashing decisions, a dummy activity is needed at the beginning of the project, with a duration of zero (0) time.

Accepted Answer

In linear programming for project crashing, dummy activities are used to represent precedence relationships between tasks, not necessarily at the beginning of the project, and their duration is not relevant to their purpose.

Question 8

The term 'programming' is used in linear programming because these models find the best 'program' or course of action to follow.

Accepted Answer

Linear programming models aim to find the optimal solution by determining the best program or plan of action to follow. Therefore, the term programming is applicable in this context.

Question 9

Constant terms in the objective function are called object function ____.
A)Variables
B)Decision solutions
C)Coefficients
D)Constraints

Accepted Answer

Constant terms in the objective function are called objective function coefficients.

Question 10

Deciding on how much of each grade of gasoline to produce is an example of the linear programming model for blending applications.

Accepted Answer

Linear programming models are often used in blending applications, such as determining how much of each grade of gasoline to produce to maximize profits or meet customer demand.

Question 11

If R_m = increase in the total production level during Month 'm' compared to Month m-1 and D_m = decrease in the total production level during Month 'm' compared to Month m-1, which of the following statements can be correct? A)R_m = D_m = 0 B)Both R_m and D_m positive C)Both R_m and D_mnegative D)One variable can be positive and the other negative

Accepted Answer

The answer of If R_m = increase in the total...

Question 12

Solutions to a linear programming model that satisfy all constraints are referred to as optimal.

Accepted Answer

Solutions that satisfy all constraints are referred to as feasible solutions. The optimal solution is the feasible solution that results in the best value (maximum or minimum) of the objective function.

Question 13

Which of the following is generally correct regarding the transportation problem of linear programming?
A)Supply = demand
B)Objective is maximizing profit contribution
C)Shipping cost from each source to each destination is the same
D)Exponential loading/unloading distribution is assumed

Accepted Answer

The transportation problem in linear programming aims to minimize the cost of shipping goods from multiple sources to multiple destinations, subject to the constraints of supply and demand. Therefore, the correct option is A, where supply must equal demand. Option B is not always true as the objective may not always be maximizing profit contribution. Option C is also not always true as the shipping cost may vary between different sources and destinations. Option D is irrelevant and not related to the transportation problem.

Question 14

X₁, X₂ $\ge$ 0 refers to A)Feasibility B)Maximization C)Production-rate changes D)Non-negativity

Accepted Answer

The presence of "0" in the constraints X₁ and X₂ indicates non-negativity, i.e., the variables S1, U1, B1, and B0 cannot take negative values. This is a common assumption in linear programming models. Therefore, choice D (Non-negativity) is the correct answer. The other choices (Feasibility, Maximization, and Production-rate changes) are not related to the presence of "0" in the constraints.

Question 15

Excel solver can handle basic linear programming but not the special transportation problem.

Accepted Answer

Excel solver can handle linear programming problems, including the special transportation problem. It can also handle many other types of optimization problems with different constraints and variables.

Question 16

Neither the R_m, increase in the total production levels during Month 'm' compared to Month m-1, or the D_m, decrease in the total production level during Month 'm' compared to Month m-1, can be negative because only positive changes would be permitted due to the non-negativity requirement.

Accepted Answer

The statement is true. The non-negativity requirement means that production levels cannot be negative, and therefore any change in production levels must also be positive. Therefore, both RS and DS cannot be negative.

Question 17

$\sqrt{x}$  is linear since x is to the first power.

Accepted Answer

The answer of $\sqrt{x}$  is linear since x is...

Question 18

Which of the following factors would generally not be part of a linear programming model for blending?
A)Revenue
B)Cost
C)Product/component specifications
D)Supply = demand

Accepted Answer

Supply = demand is a factor related to inventory management and not specifically related to blending of products/components. The other factors (revenue, cost, and product/component specifications) are directly related to the blending process and would typically be included in a linear programming model for blending.

Question 19

Since price is usually set by market conditions, the blending problem use of linear programming attempts to meet demand at minimum cost.

Accepted Answer

This statement is true. Linear programming can be used to optimize production levels and minimize cost while meeting demand requirements.

Question 20

Which of the following factors would generally not be part of a linear programming model for production scheduling?
A)Fluctuations in production
B)Inventory levels
C)Waiting time probability distributions
D)Storage capacity

Accepted Answer

Linear programming models generally do not consider probability distributions as they involve complex mathematical calculations and non-linear relationships. Factors such as fluctuations in production, inventory levels, and storage capacity are all important constraints and variables that can be included in a linear programming model for production scheduling.

Quiz 21: Modeling Using Linear Programming

The normal-time project cost does not depend on what crashing decisions are made.As a result, total crash costs can be minimized for a linear programming objective.

The constraint that requires the beginning inventory plus production minus sales to equal the ending inventory is called material-balance equation.

Any particular combination of decision variables is referred to as a(n) ____.

(Ending inventory from the previous month) + (current production) - (ending inventory this month) =

(a month's production) + (beginning inventory) - (ending inventory) - (number of lost sales for the month) =

The transportation problem is a special type of linear programming that arises in planning the distribution of goods and services from only one supply point to several demand locations.

For linear programming to work for project crashing decisions, a dummy activity is needed at the beginning of the project, with a duration of zero (0) time.

The term 'programming' is used in linear programming because these models find the best 'program' or course of action to follow.

Constant terms in the objective function are called object function ____.

Deciding on how much of each grade of gasoline to produce is an example of the linear programming model for blending applications.

If Rm = increase in the total production level during Month 'm' compared to Month m-1 and Dm = decrease in the total production level during Month 'm' compared to Month m-1, which of the following statements can be correct?

Solutions to a linear programming model that satisfy all constraints are referred to as optimal.

Which of the following is generally correct regarding the transportation problem of linear programming?

X1, X2 ≥\ge≥ 0 refers to

Excel solver can handle basic linear programming but not the special transportation problem.

Neither the Rm, increase in the total production levels during Month 'm' compared to Month m-1, or the Dm, decrease in the total production level during Month 'm' compared to Month m-1, can be negative because only positive changes would be permitted due to the non-negativity requirement.

x\sqrt{x}x​ is linear since x is to the first power.

Which of the following factors would generally not be part of a linear programming model for blending?

Since price is usually set by market conditions, the blending problem use of linear programming attempts to meet demand at minimum cost.

Which of the following factors would generally not be part of a linear programming model for production scheduling?

If R_m = increase in the total production level during Month 'm' compared to Month m-1 and D_m = decrease in the total production level during Month 'm' compared to Month m-1, which of the following statements can be correct?

X₁, X₂ $\ge$ 0 refers to

Neither the R_m, increase in the total production levels during Month 'm' compared to Month m-1, or the D_m, decrease in the total production level during Month 'm' compared to Month m-1, can be negative because only positive changes would be permitted due to the non-negativity requirement.

$\sqrt{x}$ is linear since x is to the first power.