A) can be derived from the coefficients of the slack variables in the Cj - Zj row of an optimal simplex tableau. B) represent the value of one additional unit of a resource. C) are found in the solution to the dual LP. D) All of the above E) None of the above A) can be derived from the coefficients of the slack variables in the Cj - Zj row of an optimal simplex tableau. B) represent the value of one additional unit of a resource. C) are found in the solution to the dual LP. D) All of the above E) None of the above

A) is added to each ≤ constraint to facilitate the simplex process. B) is added to each ≥ constraint to facilitate the simplex process. C) is added to each ≤ or = constraint to facilitate the simplex process. D) is added to each = constraint to facilitate the simplex process. E) None of the above A) is added to each ≤ constraint to facilitate the simplex process. B) is added to each ≥ constraint to facilitate the simplex process. C) is added to each ≤ or = constraint to facilitate the simplex process. D) is added to each = constraint to facilitate the simplex process. E) None of the above

Exam 22: Linear Programming: The Simplex Method

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Add all necessary slack,surplus,and artificial variables to the following linear programming problem.Be sure to include these in the objective function with the appropriate coefficients. Maximize 8X + 10Y Subject to: 5X + 3Y ≤ 34 2X + 3Y = 24 Y ≥ 3 X,Y ≥ 0

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Question 81

If all of a resource represented by a slack variable is used,that slack variable will not be in the production mix column of a linear programming simplex tableau.

(True/False)

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Question 82

A correctly formulated linear program,when solved with the simplex algorithm,will always yield a single optimal solution.

(True/False)

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Question 83

In a maximization problem,if a variable is to enter the solution,it must have a negative coefficient in the C_j - Z_j row.

(True/False)

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Question 84

In LP problems with more than two variables,the area of feasible solutions is known as an n-dimensional

(Multiple Choice)

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Question 85

Sensitivity analysis cannot be used to examine the effects of

(Multiple Choice)

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Question 86

If,in the optimal tableau of a linear programming problem,an artificial variable is present in the solution mix,this implies

(Multiple Choice)

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Question 87

In applying the simplex solution procedure to a maximization problem to determine which variable enters the solution mix,

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Question 88

What does the C_j - Z_j row represent in a simplex tableau?

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Question 89

If one changes a nonbasic objective function coefficient,the optimal solution of a maximization problem will remain optimal if

(Multiple Choice)

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Question 90

Shadow prices

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Question 91

Explain how a multiple optimal solution is recognized when using the simplex algorithm.

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Question 92

Table M7-1 -According to Table M7-1,all of the resources are being used.If the amount of resource B were changed from 96 to 97,then the maximum possible total profit would be

(Multiple Choice)

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Question 93

In the simplex process,the new pivot row is found by dividing each number in the row by the pivot number.

(True/False)

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Question 94

If all the numbers in the pivot column are negative,this implies that the solution is unbounded.

(True/False)

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Question 95

We can solve a minimization problem by maximizing the negative of the minimization problem's objective function.

(True/False)

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Question 96

Table M7-1 -According to Table M7-1,all of the resources are being used.If the amount of resource A were changed from 64 to 65,then the maximum possible total profit would be

(Multiple Choice)

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Question 97

Which of the following is not true about slack variables in a simplex tableau?

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Question 98

A slack variable

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Question 99

The shadow price is the value of one additional unit of a scarce resource.

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Question 100

Showing 81 - 100 of 100

Exam 22: Linear Programming: The Simplex Method

Add all necessary slack,surplus,and artificial variables to the following linear programming problem.Be sure to include these in the objective function with the appropriate coefficients. Maximize 8X + 10Y Subject to: 5X + 3Y ≤ 34 2X + 3Y = 24 Y ≥ 3 X,Y ≥ 0

If all of a resource represented by a slack variable is used,that slack variable will not be in the production mix column of a linear programming simplex tableau.

A correctly formulated linear program,when solved with the simplex algorithm,will always yield a single optimal solution.

In a maximization problem,if a variable is to enter the solution,it must have a negative coefficient in the Cj - Zj row.

In LP problems with more than two variables,the area of feasible solutions is known as an n-dimensional

Sensitivity analysis cannot be used to examine the effects of

If,in the optimal tableau of a linear programming problem,an artificial variable is present in the solution mix,this implies

In applying the simplex solution procedure to a maximization problem to determine which variable enters the solution mix,

What does the Cj - Zj row represent in a simplex tableau?

If one changes a nonbasic objective function coefficient,the optimal solution of a maximization problem will remain optimal if

Shadow prices

Explain how a multiple optimal solution is recognized when using the simplex algorithm.

Table M7-1 -According to Table M7-1,all of the resources are being used.If the amount of resource B were changed from 96 to 97,then the maximum possible total profit would be

In the simplex process,the new pivot row is found by dividing each number in the row by the pivot number.

If all the numbers in the pivot column are negative,this implies that the solution is unbounded.

We can solve a minimization problem by maximizing the negative of the minimization problem's objective function.

Table M7-1 -According to Table M7-1,all of the resources are being used.If the amount of resource A were changed from 64 to 65,then the maximum possible total profit would be

Which of the following is not true about slack variables in a simplex tableau?

A slack variable

The shadow price is the value of one additional unit of a scarce resource.

Introduction to Quantitative Analysis

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In a maximization problem,if a variable is to enter the solution,it must have a negative coefficient in the C_j - Z_j row.

What does the C_j - Z_j row represent in a simplex tableau?