Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the xvalues at which they occur. f(x) = x2 6x 7; [1,6] <:> The absolute maximum value is D at x = D. (Use a comma to separate answers as needed.) Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f(x) = 2x3- 12x2 + 18x +7 (A) [- 1, 6] (B) [- 1, 3] (C) [2, 6] . . . (A) Find the absolute maximum. 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 = (Use a comma to separate answers as needed.) O B. There is no absolute maximum.Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f(x) = x* +4x5 - 1 (A) [- 2, 1] (B) [- 4, 0] (C) [-2, 2] . . . (A) Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum, which occurs twice, is at x = and x = (Use ascending order.) O B. The absolute maximum is at X = O C. There is no absolute maximum.Find the dimensions of a rectangle with an area of 36 square feet that has the minimum perimeter. The dimensions of this rectangle are D ft. (Simplify your answer. Use a comma to separate answers as needed.) -pany manufactures and sells x television sets per month. The monthly cost and pricedemand equations are X C(x) = 72,000 + 80x and p(x) = 250 5' 0 355000. (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 $6 for each set it produces, how many sets should the company manufacture each month to maximize its prot? What is the maximum prot? What should the company charge for each set? (A) The maximum revenue is $|:|. (Type an integer or a decimal.) A deli sells 480 sandwiches per day at a price of $6 each. E (A) A market survey shows that for every $0.10 reduction in the price, 40 more sandwiches will be sold. How much should the deli charge in order to maximize revenue? The deli should charge $|:| for a sandwich to maximize revenue. (Round to the nearest cent as needed.)