Linear Programming & Sensitivity Analysis Questions Help

Mathematics

QUESTION 1

  • In linear programming, if one of the objective function coefficients changes:

A. the slope of the objective function will increase or decrease

B. the optimal solution will always change

C. the right-hand side value of the constraint will change

D. the total profit will change

QUESTION 6

  • Refer to the following sensitivity report.

Based on the results, a one unit increase in resource C would lead to $ ______ increase in the total profit.

A. $7.78

B. $18

C. $40

D. $0

QUESTION 7

  • Refer to the following sensitivity report.

What is the allowable range for changes in the objective coefficient for Activity 1?

A. -30 ≤ A2 ≤ 90

B. 30 ≤ A2 ≤ 90

C. 13 ≤ A2 ≤ 53

D. 20 ≤ A2 ≤ 80

QUESTION 9

  • Refer to the following sensitivity report.

If the coefficient of Activity 1 in the objective function changes to $20, then:

A. the problem must be resolved to find the optimal solution

B. the original solution remains optimal

C. shadow price is valid

D. None of the above

QUESTION 10

Refer to the following sensitivity report.

If the right-hand side of Resource A changes to 25, then the objective function value:

A. will increase by $12.50

B. will decrease by $50

C. will increase by $38.9

D. will remain the same

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