In Problem, suppose a company has its total cost for a product given by C(x) = 200x

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In Problem, suppose a company has its total cost for a product given by C(x) = 200x + 10,000 dollars and its total revenue given by R(x) = 250x - 0.01x2 dollars, where x is the number of units produced and sold.

(a) Form the profit function for this product.

(b) Find the marginal profit function.

(c) Find the marginal profit when x = 1000 and then write a sentence that interprets this result.

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