A company manufactures a product with cost function C(x)=2000+800x-0.4x^2, where C(x) is the cost of


Question: A company manufactures a product with cost function \(C\left( x \right)=2000+800x-0.4{{x}^{2}}\), where \(C\left( x \right)\) is the cost of manufacturing a total of x units of the product.

(a) Find the average cost function \(\bar{C}\).

(b) Find the marginal cost function \(C'\)

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