question archive A manufacture has been selling 1650 television sets a week at $540 each

A manufacture has been selling 1650 television sets a week at $540 each

Subject:MathPrice: Bought3

A manufacture has been selling 1650 television sets a week at $540 each. A market survey indicates that for each $24 rebate offered to a buyer, the number of sets sold will increase by 240 per week. a) Find the function representing the price p(x), where x is the number of the television sets sold per week. p(x) = 705-0.1x b) How large rebate should the company offer to a buyer. in order to maximize its revenue? 187.5 dollars c) If the weekly cost function is 148500 + 18036, how should it set the size of the rebate to maximize its profit? 178.5 dollars

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