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A company has two factories that produce lawnmowers, which sell for $500 apiece. The cost of the first factory producing x lawnmowers is 500 +
A company has two factories that produce lawnmowers, which sell for $500 apiece. The cost of the first factory producing x lawnmowers is 500 + 300 x + 5 x ^2 .
The cost of the second factory producing y lawnmowers is 1000 + 200 y + 2 y ^2 .
Therefore, if the first factory produces x lawnmowers and the second factory produces y lawnmowers, the revenue is R (x,y)=500x+500y, and the cost is C(x,y)=500+300x+5x^2+1000+200y+2y^2
Find the values of x and y that maximize the profit. (Give your answer as an ordered pair (x,y)
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