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Question

A factory can produce two products, x and y, with a profit approximated by . The production of y must exceed the production of x by at least 100 units. Moreover, production levels are limited by the formula .

1. Identify the vertices of the feasible region.
2. What production levels yield the maximum profit, and what is the maximum profit?

Answer 1

vertices of the feasible region are (0,0), (0,100), ( 400, 500) and (1400, 0)

max profit is at (400,500)

max profit = 14(400) + 22(500) -900= 15,700 when x=400 and y = 500