Question

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

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