A manufacture has been selling 1950 television sets a week at $420 each. A market survey indicates that for each $15 rebate offered to a buyer, the number of sets sold will increase by 150 per week.

Find the function representing the demandp(x), wherex is the number of the television sets sold per week andp(x)is the corresponding price.

p(x)=?

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

? dollars

If the weekly cost function is136500+140x, how should it set the size of the rebate to maximize its profit?

? dollars