15-17

15. [-/3 Points] DETAILS SCALC8 3.7.503.XP. A manufacturer has been selling 1000 flat-screen TVs a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of TVs sold will increase by 100 per week. (a) Find the demand function (price p as a function of units sold x). P(x) = (b) How large a rebate should the company offer the buyer in order to maximize its revenue? $ (c) If its weekly cost function is C(x) = 65,000 + 100x, how should the manufacturer set the size of the rebate in order to maximize its profit? $ 16. [-/1 Points] DETAILS SCALC8 3.8.515.XP. Use Newton's method to approximate the given number correct to eight decimal places. 108/100 17. [-/1 Points] DETAILS SCALC8 3.8.506.XP. Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) x4 = 3+x X = cBook/