A manufacture has been selling 1850 television sets a week at $510 each. A market survey indicates that for each $16 rebate offered to a buyer, the number of sets sold will increase by 160 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 157250+170x, how should it set the size of the rebate to maximize its profit?

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