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 demand p(x), where x is the number of the television sets sold per week and p(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 is 136500+140x, how should it set the size of the rebate to maximize its profit?
? dollars