A manufacture has been selling 1900 television sets a week at $510 each. A market survey indicates that for each $23 rebate offered to a buyer, the number of sets sold will increase by 230 per week. a) Find the demand function p(x), where x 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 161500+170x how should it set the size of the rebate to maximize its profit?

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