A company has five plantsP1, P2, P 3, P 4 andP5• It now wants to introduce three products A, Band C, but not more than one in a plant. The unit production and distribution costs are shown in tables that follow

Using this information, state which product should be produced in which plant so that the aggregate profits are maximised. What is the amount of this profit?

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Unit production cost: In plant Product P P2 P3 P4 Ps A 20 24 21 35 28 B 12 28 40 25 C 21 17 30 22 26 20 16 Unit distribution cost: From plant Product P P P3 P Ps A 12 6 13 3 6 B 14 6 8 10 12 C 17 8 12 18 16 The estimated sales and prices of the three products are as follows: Product A Sale (No. of units) 800 Selling price Rs 50 BC 1,000 Rs 50 400 Rs 70