derivative

bears

roses

A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per week.  Find the demand function.  How large a rebate should the company offer the buyer in order to maximize its revenue?  If its weekly cost function is C ( x ) = 68, x, how should it set the size of the rebate in order to maximize its profits?

Point = (x, y) Homework p. 236 #12, 14

P = 100 m x y

x y y barn Homework p. 236 #1-3, 7, 8

x y y x y Homework: p. 236 #10, 11