A factory can produce two products,x and y, with a profit approximated by P = 14x + 22y - 900

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?