22. A company is producing three products P 1, P 2 and P 3 at two of its plants situated in cities A and B. The company plans to start a new plant either in city Corin city D. The unit profits from the various plants are listed in the table, along with the demand for various products and capacity available in each of the plants.

The company would set up the new plant on the basis of maximising aggregate profits from the three cities' plants. Using the transportation method determine in which city would the plant be set up and what would the corresponding profit be.

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Product Plant Capacity P P2 P3 A 35 24 20 600 B 30 28 25 1,000 C 20 25 37 800 D 24 32 28 800 Demand 500 800 600