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A manufacture has been selling 1950 television sets a week at $540 each. A market...

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Calculus

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A manufacture has been selling 1950 television sets a week at $540 each. A market survey indicates that for each $12 rebate offered to a buyer, the number of sets sold will increase by 120 per week.a) Find the demand function p(x), where is the number of the television sets sold per week.p(x) = ?b) How large rebate should the company offer to a buyer, in order to maximize its revenue?$ ____c) If the weekly cost function is 175500 + 180x, how should it set the size of the rebate to maximize its profit?$ ___

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