Find the function representing the price

Reference no: EM13185848

A manufacture has been selling 1400 television sets a week at $540 each. A market survey indicates that for each $30 rebate offered to a buyer, the number of sets sold will increase by 300 per week.

a) Find the function representing the price p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price.
p(x)=

b) How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars

c) If the weekly cost function is 78750 + 150 x, how should it set the size of the rebate to maximize its profit? dollar

Reference no: EM13185848

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