Find the absolute extrema, if they exist, as well as all values ofx where they occur, for the function given by f(x) = x + 3x2/3 on the interval [10,1]. Find the minimum average cost for the function C06) 2 lm2 + 17x + 324 on the interval 10 S x S 20. A farmer is constructing a rectangular pen with one additional fence across its width. Find the maximum area that can be enclosed with 2400 m of fencing. Assume that the fence down the middle of the rectangle takes up no area in the rectangle. See the diagram below. (-y-; A bookstore has an annual demand of 100,000 copies of a best-selling book. It costs $0.50 to store 1 copy for 1 year, and it costs $60 to place an order. a) Find the optimum number of copies per order. b) How many times a year should the copies be ordered