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 total shipping cost 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 total shipping cost 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

To find the change in the total shipping cost, we need to first calculate the cost of shipping 50 units from source 3 to destination 3. The cost per unit is $9, so the total cost of shipping 50 units would be (50 x $9) = $450. 
If we add this route, the total shipping cost would increase by $450, as we are shipping an additional 50 units. Therefore, the correct choice is (D) an increase of $450.

Consider the Transportation Problem and Its Optimal Solution in the Tables