Question

A company has two factories $S_1,S_2$ and two warehouses $D_1,D_2.$ The supplies from $S_1\text{and}{S}_2$ are 50 and 40 units respectively. Warehouse $D_1$ requires a minimum of 20 units and a maximum of 40 units. Warehouse $D_2$ requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are

• A. 2, 4, 110
• B. 3, 4, 110
• C. 2, 4, 90
• D. 3, 4, 90

Answer 1

The correct option is D 3, 4, 90



For balance transportation problem

$\text{No. of supply points = m + n - 1 = 2 + 2 - 1 = 3}$

$\text{No. of demand point = 4}$

$\text{Total demand = 50 + 40 = 90}$

$\text{Points to Remember:}$

If the total supply from all the factories is equal to the total demand in all the destinations, then the problem is called balanced, otherwise unbalanced. If the given problem is unbalanced, we need to balance it by adding a dummy source or destination.