Consider the transportation problem and its optimal solution in the tables below. The cell Source 3 - Destination 3 is currently empty. What would be the change in the objective function if the largest possible amount were shipped using that route, leaving all the supply and demand conditions unchanged?
A) 0
B) fifty units
C) a decrease of $9
D) an increase of $450
E) an increase of $630

Question

Consider the transportation problem and its optimal solution in the tables below. The cell Source 3 - Destination 3 is currently empty. What would be the change in the objective function if the largest possible amount were shipped using that route, leaving all the supply and demand conditions unchanged? 
A) 0 
B) fifty units 
C) a decrease of $9 
D) an increase of $450 
E) an increase of $630

Quizplus · Accepted Answer

If the largest possible amount were shipped using the empty route, which is 50 units, the objective function value would increase by $450.

To calculate this, we first need to determine the cost per unit of shipping on that route, which is $9. We then multiply that by the quantity shipped (50), resulting in an increase of $450.

Consider the Transportation Problem and Its Optimal Solution in the Tables