Find the function representing the price

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Reference no: EM13196132

A manufacture has been selling 1000 television sets a week at $480 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 function representing the price , where is the number of the television sets sold per week and is the corresponding price.
b) How large rebate should the company offer to a buyer, in order to maximize its revenue?
c) If the weekly cost function is , how should it set the size of the rebate to maximize its profit?

Reference no: EM13196132

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