Two reservoirs are available to supply water for the needs of three cities. Each reservoir can supply 50 million gallons of water per day. Each city requires 40 million gallons of water per day. For every shortfall of one million gallons per day there is a fine to be paid. For city A, the fine is IDR 200,000; for city B the fine is 220,000, and for city C it is IDR 230,000. The cost (in rupiah) for transporting from the reservoir to each city per million gallons of water is as shown in the following table:

Question

Formulate this problem into a transportation table, then find a basic initial feasible solution using:

Lowest Cost Rule.

From Reservoir 1 Reservoir 2 City A 70.000 90.000 To City B 80.000 70.000 City C 100.000 80.000