Question 1

If the coefficient for Activity 1 in the objective function changes to $50,then the objective function value:

Accepted Answer

A)  will decrease by $450 
B)  is $0 
C)  will decrease by $2750 
D)  will remain the same 
E)  can only be discovered by resolving the problem F) A) and B)
G) A) and C)

Question 2

When a change occurs in the right-hand side values of one of the constraints,a proportional change will occur in one of the coefficients of the objective function

Accepted Answer

A) True 
 B)False

Question 3

In linear programming,what-if analysis is associated with determining the effect of changing:

Accepted Answer

A)  I and II
B)  II and III
C)  I,II,and III
D)  I and III
E)  None of the above F) B) and C)
G) C) and D)

Question 4

When maximizing profit in a linear programming problem,the allowable increase and allowable decrease columns in the sensitivity report make it possible to find the range over which the profitability does not change

Accepted Answer

A) True 
 B)False

Question 5

A ≤ 60  B) 0 ≤ RHSA ≤ 110  C) -∞ ≤ RHSA ≤ 110  D) 110 ≤ RHSA ≤ 1600  E) 0 ≤ RHSA ≤ 160 " class="answers-bank-image d-inline" rel="preload" >
-What is the allowable range of the right-hand-side for Resource A?

Accepted Answer

A)  -∞ ≤ RHSA ≤ 60 
B)  0 ≤ RHSA ≤ 110 
C)  -∞ ≤ RHSA ≤ 110 
D)  110 ≤ RHSA ≤ 1600 
E)  0 ≤ RHSA ≤ 160 F) A) and B)
G) B) and D)

Question 6

If the objective coefficients of Activity 2 and Activity 3 are both decreased by $100,then:

Accepted Answer

A)  the optimal solution remains the same 
B)  the optimal solution may or may not remain the same 
C)  the optimal solution will change 
D)  the shadow prices are valid 
E)  None of the above F) B) and E)
G) D) and E)

Question 7

Which parameter is most sensitive to an increase in its value?

Accepted Answer

A)  The objective coefficient of Activity 1 
B)  The objective coefficient of Activity 2 
C)  The objective coefficient of Activity 3 
D)  All of the above 
E)  None of the above F) B) and E)
G) All of the above

Question 8

Whenever proportional changes are made to all the unit profits in a problem,the optimal solution will remain the same

Accepted Answer

A) True 
 B)False

Question 9

-What is the allowable range for changes in the objective coefficient for Activity 2?

Accepted Answer

A)  -10 ≤ A2 ≤ 50 
B)  -44 ≤ A2 ≤ 16 
C)  -4 ≤ A2 ≤ 56 
D)  30 ≤ A2 ≤ 90 
E)  20 ≤ A2 ≤ 80 F) C) and D)
G) B) and E)

Question 10

-What is the allowable range for the objective function coefficient for Activity 3?

Accepted Answer

A)  150 ≤ A3 ≤ ∞ 
B)  0 ≤ A3 ≤ 650 
C)  0 ≤ A3 ≤ 250 
D)  400 ≤ A3 ≤ ∞ 
E)  300 ≤ A3 ≤ 500 F) A) and E)
G) C) and D)

Question 11

The purpose of a linear programming study is to help guide management's final decision by providing insights

Accepted Answer

A) True 
 B)False

Question 12

Managerial decisions regarding right-hand sides are often interrelated and so frequently are considered simultaneously

Accepted Answer

A) True 
 B)False

Question 13

According to the 100% rule for simultaneous changes in objective function coefficients,if the sum of the percentage changes exceeds 100%,the optimal solution definitely will change

Accepted Answer

A) True 
 B)False

Question 14

When a change in the value of an objective function coefficient remains within the allowable range,the optimal solution will also remain the same

Accepted Answer

A) True 
 B)False

Question 15

If the right-hand side of Resource C is increased by 40,and the right-hand side of Resource B is decreased by 20,then:

Accepted Answer

A)  the optimal solution remains the same 
B)  the optimal solution will change 
C)  the shadow price is valid 
D)  the shadow price may or may not be not valid 
E)  None of the above F) A) and B)
G) C) and E)

Question 16

A shadow price reflects which of the following in a maximization problem?

Accepted Answer

A)  The marginal cost of adding additional resources 
B)  The marginal gain in the objective value realized by adding one unit of a resource 
C)  The marginal loss in the objective value realized by adding one unit of a resource 
D)  The marginal gain in the objective value realized by subtracting one unit of a resource 
E)  None of the above F) A) and B)
G) A) and C)

Question 17

A parameter analysis report re-solves the problem for a whole range of values of a data cell

Accepted Answer

A) True 
 B)False

Question 18

If the right-hand side of Resource A changes to 10,then the objective function value:

Accepted Answer

A)  will decrease by $12 50 
B)  will decrease by $125 
C)  will decrease by $77 80 
D)  will remain the same 
E)  can only be discovered by resolving the problem F) A) and B)
G) B) and C)

Question 19

Every change in the value of an objective function coefficient will lead to a changed optimal solution

Accepted Answer

A) True 
 B)False

Question 20

The allowable range gives ranges of values for the objective function coefficients within which the values of the decision variables are optimal

Accepted Answer

A) True 
 B)False

Exam 5: What-If Analysis for linear programming

-What is the allowable range of the right-hand-side for Resource A?

Correct AnswerverifiedShow Answer

Every change in the value of an objective function coefficient will lead to a changed optimal solution

Correct AnswerverifiedShow Answer

In linear programming,what-if analysis is associated with determining the effect of changing:

Correct AnswerverifiedShow Answer

When a change in the value of an objective function coefficient remains within the allowable range,the optimal solution will also remain the same

Correct AnswerverifiedShow Answer

The purpose of a linear programming study is to help guide management's final decision by providing insights

Correct AnswerverifiedShow Answer

When a change occurs in the right-hand side values of one of the constraints,a proportional change will occur in one of the coefficients of the objective function

Correct AnswerverifiedShow Answer

The allowable range gives ranges of values for the objective function coefficients within which the values of the decision variables are optimal

Correct AnswerverifiedShow Answer

If the coefficient for Activity 1 in the objective function changes to $50,then the objective function value:

Correct AnswerverifiedShow Answer

-What is the allowable range for the objective function coefficient for Activity 3?

Correct AnswerverifiedShow Answer

If the right-hand side of Resource C is increased by 40,and the right-hand side of Resource B is decreased by 20,then:

Correct AnswerverifiedShow Answer

A parameter analysis report re-solves the problem for a whole range of values of a data cell

Correct AnswerverifiedShow Answer

If the right-hand side of Resource A changes to 10,then the objective function value:

Correct AnswerverifiedShow Answer

A shadow price reflects which of the following in a maximization problem?

Correct AnswerverifiedShow Answer

When maximizing profit in a linear programming problem,the allowable increase and allowable decrease columns in the sensitivity report make it possible to find the range over which the profitability does not change

Correct AnswerverifiedShow Answer

Managerial decisions regarding right-hand sides are often interrelated and so frequently are considered simultaneously

Correct AnswerverifiedShow Answer

Whenever proportional changes are made to all the unit profits in a problem,the optimal solution will remain the same

Correct AnswerverifiedShow Answer

-What is the allowable range for changes in the objective coefficient for Activity 2?

Correct AnswerverifiedShow Answer

If the objective coefficients of Activity 2 and Activity 3 are both decreased by $100,then:

Correct AnswerverifiedShow Answer

Which parameter is most sensitive to an increase in its value?

Correct AnswerverifiedShow Answer

According to the 100% rule for simultaneous changes in objective function coefficients,if the sum of the percentage changes exceeds 100%,the optimal solution definitely will change

Correct AnswerverifiedShow Answer

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