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The cost of producing x boards is given by x 2 + 20x + 500 , while the price of each board if there is

The cost of producing x boards is given by x2 + 20x + 500, while the price of each board if there is a demand for x units is given by p(x) = 100 x. (a) Find the marginal profit of producing and selling 15 boards. (b) At what production level is the profit at a maximum?

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