A manufacture has been selling 2000 television sets a week at $450 each. A market survey indicates that for each $26 rebate offered to a buyer, the number of sets sold will increase by 260 per week. a) Find the demand function p(x), where is the number of the television sets sold per week. p(x) = 10 2 + 1550 1 X b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $ 26 C) If the weekly cost function is 150000 + 150, how should it set the size of the rebate to maximize its profit? Note: For this problem, the video use a different method than we learned in the textbook to find the maximum. You do not need to learn how to do the calculus techniques shown in the video. Just b use the h formula to find the vertex instead. 2a