c) Alpha industries sells two products, X and Y, in related markets, with demand functions given by:
Px – 13 + 2X + Y = 0
Py– 13 + X + 2Y = 0
The total cost, in shillings, is given by:
TC = X + Y
Required:
Determine the price and the output for each good, which will maximize profits. (3 marks)
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