Question

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

• A. Unbalanced problem, sub-optimal solution
• B. Balanced problem, optimal solution
• C. Balanced problem, sub-optimal solution
• D. Unbalanced problem, optimal solution

Answer 1

The correct option is B Balanced problem, optimal solution

$\text{Total supply = 15+15 = 30}$

$\text{Total demand = 10+20=30}$

$\text{Total supply = Total demand}$

It is a balanced transportation model.
To check the optimality we have to do the empty cell evaluation $(S_2,D_1).$


$\text{Cell evaluation = 15-5+20-5 =25}$

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