Question: Solve using the SIMPLEX Method : There are two plants supplying water to three cities. Each plant can supply up to 50 million liters of

Solve using the SIMPLEX Method:

There are two plants supplying water to three cities. Each plant can supply up to 50 million liters of water per day. Each city would like to receive 40 million liters of water per day. For each million liters of daily demand not met, there is a fine. In city 1, the fine is $20; in city 2, the fine is $22; and in city 3, the fine is $23. The table shows the costs of shipping one million liters of water to each city. liters of water to each city. Formulate and solve a balanced transportation model that can be used to minimize shortage and transportation costs.

CITY 1 CITY 2 CITY 3
PLANT 1 7 8 10
PLANT 2 9 7 8

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