9/21/22, 2:52 PM Homework 4-Maria Valles 14. For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute AT ( x ) maximum over the interval [1, 11]. 20- NT Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum is at x = and x = Round to the nearest integer as needed. Use ascending order.) O B. The absolute minimum is at x = (Round to the nearest integer as needed.) O C. There is no absolute minimum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is at x = and x = (Round to the nearest integer as needed. Use ascending order.) O B. The absolute maximum is at x = (Round to the nearest integer as needed.) O C. There is no absolute maximum. 15. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) =2x+9 (A) [0,8] (B) [-6,5] (A) The absolute maximum value is at x = (Use a comma to separate answers as needed.) The absolute minimum value is at x = (Use a comma to separate answers as needed.) (B) The absolute maximum value is at x = (Use a comma to separate answers as needed.) The absolute minimum value is at x = (Use a comma to separate answers as needed.) 16. Find two numbers whose sum is 24 and whose product is a maximum. The two numbers are (Simplify your answer. Use a comma to separate answers as needed.)11. Use the given information to sketch the graph of f. Choose the correct graph below. Domain: All real x, except x = - 3; lim f(x) = co; lim f(x) = -co; lim f(x) = 1 O A. O B. x- -3" X - - 3+ X - 00 X f ( x ) 0 0 f' (x ) + + + ND + + + 0 - -- - W O C. O D. f" ( x ) + + + ND- - - - 0 + + +9/21/22, 2:52 PM Homework 4-Maria Valles 17. A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. p = 400 - 0.5x and C(x) = 20,000 + 130x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce phones each week at a price of $ (Round to the nearest cent as needed.) The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce | phones each week at a price of $ (Round to the nearest cent as needed.) The maximum weekly profit is $ (Round to the nearest cent as needed.) 18. A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 74,000 + 70x and p(x) = 300 - 2 20. OSX S 6000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company $4 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set? (A) The maximum revenue is $ (Type an integer or a decimal.) (B) The maximum profit is $ when sets are manufactured and sold for $ each. (Type integers or decimals.) (C) When each set is taxed at $4, the maximum profit is $ when sets are manufactured and sold for $ each . (Type integers or decimals.) 19. A commercial cherry grower estimates from past records that if 20 trees are planted per acre, then each tree will yield an average of 40 pounds of cherries per season. If, for each additional tree planted per acre (up to 21 additional trees), the average yield per tree is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield? In order to get the highest yield of pounds , trees should be planted per acre