How much must the objective function coefficient of the variable Pumpkin change before any Pumpkins are produced based on the following sensitivity report?
A)increase by 12
B)decrease by 12
C)increase by 499.99
D)decrease by 499.99

Question

How much must the objective function coefficient of the variable Pumpkin change before any Pumpkins are produced based on the following sensitivity report? 
A)increase by 12 
B)decrease by 12 
C)increase by 499.99 
D)decrease by 499.99

Quizplus · Accepted Answer

Based on the sensitivity report, the Pumpkin slack variable has a shadow price of $4.00 and a range from 0 to 499.99, meaning that the objective function coefficient of Pumpkin can increase by $499.99 before the optimal solution changes. Therefore, the answer is (C) increase by 499.99. Neither decreasing the coefficient by 12 or 499.99 nor increasing the coefficient by 12 would make any difference in production.

How Much Must the Objective Function Coefficient of the Variable