4,5,6,7

A manufacturer has been selling 1000 flat-screen TVs a week at $500 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) = 62,000 + 140x, how should the manufacturer set the size of the rebate in order to maximize its profit? $ 5. [-/1 Points] DETAILS SCALC8 3.8.010. MY NOT Use Newton's method with Initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x - x - 2 = 0. (Round your answer to four decimal places.) X2 = 6. [-/1 Points] DETAILS SCALC8 3.8.017. MY NOTES Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 4 cos(X) = x + 1 X = Submit Answer MY NOTES ASK 7. [-/1 Points] DETAILS SCALC8 3.8.513.XP.MI. Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places.) x5 - x - 3=0, X1 = 1 X3 =