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.