Question

A goal programming problem had two goals (with no priorities assigned). Goal number 1 was to achieve a profit of $2,400 and goal number 2 was to have no idle time for workers in the factory. The optimal solution to this problem resulted in a profit of $2,300 and no idle time. What was the value for the objective function for this goal programming problem?

Answer 1

100

Step-by-step explanation:

Goal programming is an optimization technique that allows for multiple, normally conflicting objectives and then attempts to solve each goal sequentially to a satisfactory level. In goal programming, differential variables are being used.

Since the goal programming problem had two goals. Goal number 1 was to achieve a profit of $2,400 and goal number 2 was to have no idle time for workers in the factory. The optimal solution to this problem resulted in a profit of $2,300 and no idle time

This means that goal number 2 was achieved since the optimal solution resulted in no idle time. But goal number 1 was not achieved because a profit of $2300 was achieved in the solution instead of $2400.

Therefore, the value for the objective function for this goal programming problem = 2400 - 2300 = 100