A factory can produce two products, x and y, with a profit approximated by P = 14 x + 22 y − 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 + 2 y ≤ 1400 . Identify the vertices of the feasible region. What production levels yield the maximum profit, and what is the maximum profit?