Solve the transportation problem using the North West Corner Rule, Least Cost Method, and Vogel's Approximate Method. Check if the problem is balanced.

To solve this transportation problem, we will use three methods: North West Corner Rule, Least Cost Method, and Vogel's Approximate Method.

First, let's verify if the problem is balanced.
Total Supply = $60 + 100 + 150 = 310$
Total Demand = $140 + 120 + 50 = 310$
Since Total Supply = Total Demand, the problem is balanced.

The transportation table is:

Mill \ Warehouse	1	2	3	Supply
A	6	8	4	60
B	4