Question

If one of the objective coefficients changes within of its allowable increase or allowable decrease (same as within of Maximum and Minimum Objective Coefficients), then:______.
A. The final objective function value will change by the size of the change times the final value of the decision variable related to this objective coefficient.
B. The model must be resolved to know the full effects of the change.
C. The final objective function value will change by the size of the change times the difference between the left and side and the right-hand side of the constraint.
D. The final objective function value will change by the size of the change times the shadow price.

Answer 1

Answer:

A. The final objective function value will change by the size of the change times the final value of the decision variable related to this objective coefficient.

Explanation:

By modifying the one coefficient of the objective with the rise or decrease in the permitted modify the amount of the objective function i.e. final. Also the magnitude of modifying the value would be equivalent to the modify of the change in terms of coefficient times the final value with respect to the decision variable that is interrelated to the coefficient of the objective

hence, the correct option is a.