A manufacture has been selling 2000 television sets a week at $390 each. A market survey indicates that for each $26 rebate offered to a buyer, the number of sets sold will increase by 260 per week. a) Find the demand function p(x), where a 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 130000 + 130x, how should it set the size of the rebate to maximize its profit?

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