The figure depicts a transportation problem along with the solution

Q. The figure depicts a transportation problem along with the solution. The correct statement is

A. unbalanced problem, optimal solution

B. unbalanced problem, sub-optimal solution

C. balanced problem, optimal solution

D. balanced problem, sub-optimal solution

Ans: Balanced problem, optimal solution

Sol:

Total supply = 15+15 = 30

Total demand = 10+20=30

Total supply = Total demand

It is a balanced transportation model.
To check the optimality we have to do the empty cell evaluation (S2,D1).

Cell evaluation = 15-5+20-5 =25

As it is positive, further improvement is not possible. So it is the optimal solution.