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

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) (Show Source): You can put this solution on YOUR website!
So, the other constraint is,

Together with
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.

.
.
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Focusing on the boundaries of the shared region,
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.
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Check the profit function at the vertices,
(0,700):
(400,500):
(0,100):
Max profit of $16700 at x=400, y=500
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