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

The largest possible amount that can be shipped from Source 3 to Destination 3 is 100 units (the supply at Source 3). Shipping these 100 units would result in an increase in the objective function because the cost per unit on this route is $4.50, which is lower than the cost per unit on any other route.

The increase in the objective function would be:
100 units x $4.50 per unit = $450

Therefore, the answer is D, an increase of $450.

Consider the Transportation Problem and Its Optimal Solution in the Tables