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A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y must exceed the production of x by at least 100 units. Moreover, production levels are limited by the formula x + 2y ≤ 1400.

A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y must exceed the production of x by at least 100 units. Moreover, production levels are limited by the formula x + 2y ≤ 1400.

Identify the vertices of the feasible region.

What production levels yield the maximum profit, and what is the maximum profit?

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