Find the function representing the demand

Reference no: EM13188165

A manufacture has been selling 1950 television sets a week at $450 each. A market survey indicates that for each $27 rebate offered to a buyer, the number of sets sold will increase by 270 per week.

a) Find the function representing the demand p(x) , where x is the number of the television sets sold per week and p(x) 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 146250+150x , how should it set the size of the rebate to maximize its profit?

Reference no: EM13188165

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