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Marginal revenue is the rate of change of the total revenue per unit change in sales when the level of sales is x items. For

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Marginal revenue is the rate of change of the total revenue per unit change in sales when the level of sales is x items. For x = n, R'(n) gives an estimate for how much revenue the n + 1 item will generate. Marginal profit is the rate of change of the profit per unit change in sales when x items are produced and sold. For x = n, P'(n) gives an estimate for how much profit the n + 1 item will generate. 2. Sony has determined that the revenue from the sale of x Playstation controllers is given by R(x) = 94x - 0.03x2 dollars. The cost of producing x Playstation controllers is C(x) = 10,800 + 34x dollars. a. Find the profit function. b. Find P(600) and interpret your answer in a complete sentence. c. Find the marginal profit function. d. Find P' (600) and interpret your answer in a complete sentence. e. Find any breakeven points

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