SOLUTION: A factory can produce two products, x and y, with a profit approximated by P=14x + 24y - 900. The production of y must exceed te production of x by at least 100 units. Moreover, pr

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Question 1065830: A factory can produce two products, x and y, with a profit approximated by P=14x + 24y - 900. The production of y must exceed te 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?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So, the other constraint is,
y%3E100%2Bx
Together with x%2B2y%3C=1400
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Focusing on the boundaries of the shared region,
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Check the profit function at the vertices,
(0,700): P=14%280%29%2B24%28700%29-900=15900
(400,500): P=14%28400%29%2B24%28500%29-900=16700
(0,100):P=14%280%29%2B24%28100%29-900=1500
Max profit of $16700 at x=400, y=500