A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y can exceed x by no more than 100 units. Moreover, production levels are limited by the formula x + 2y ≤ 1,400. What production levels yield maximum profit?

Question

anonymous · Answer

A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y can exceed x by no more than 100 units. Moreover, production levels are limited by the formula x + 2y ≤ 1,400. What production levels yield maximum profit?

anonymous · Answer

-x + y <= 100, x + 2y <= 1400. so we have, 3y <= 1500, and so y <= 500. By looking at the Profit equation, we see that the more y and x we have, the more profit we will get, and so, if we set y to it's maximum, which is 500,  and set x to maximum which is x = 1400-1000 = 400, then profit will be 14*400 + 22*500 - 900 , which is 5600 + 11000 - 900 = 15700

anonymous · Answer

Thank You!1 CAn you help me with more?