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A company produces two products whose production levels are represented by x and y. As a function of these two variables profit is given by:
P(x,y) = 900x - 30x2 + 30xy - 100y - 10y2 + 2,000
a) What values of x and y maximize the profit?
b) What is the maximum value of the profit?
c) Verify that the solution is indeed a local maximum.
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