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The marginal revenue of a company is given by r(x)=x^3-0.3x^2+0.1 and the marginal cost is given...

The marginal revenue of a company is given by r(x)=x^3-0.3x^2+0.1 and the marginal cost is given by c(x)=x\sqrt{-x^2+100} both measured in thousands of dollars per hundred units (x) produced. Find the total profit for x=1 to x=4 hundred units produced.

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