Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 130-0.75x. It also determines that the total cost of producing x suit is given by C(x) = 3000+ 0.5x². a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit?

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