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A Certain Company Has Cost Function C(x)=1000+2x+0.01x2C ( x ) = 1000 + 2 x + 0.01 x ^ { 2 }

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A certain company has cost function C(x)=1000+2x+0.01x2C ( x ) = 1000 + 2 x + 0.01 x ^ { 2 } and demand function P(x)=74−0.02xP ( x ) = 74 - 0.02 x . Find the production level x that will yield a maximum profit.

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