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Solved: Raggs, Ltd. A Clothing Firm, Determines That In Order To Sell X Suits, The Price Per Suit Must Be P-180-0.5x It Also Determines That The Total Cost Of Producing X Suits Is Given By C(x) 4000 +

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Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p-180-0.5x It also determin


Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p-180-0.5x It also determines that the total cost of producing x suits is given by C(x) 4000 +0 75x 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? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? a) Rix) b) P)- c) suits d) The maximum profit is $ $ e) The price per unit must be 5

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R(x) = x middot P = x(180 - 0.5x) = 180x - 0.5x^2 P(x) = R(x) - C(x) = 180x - 0.5x^2 - (4000 + 0.75x^2) = -4000

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