Problem. 19 : Gator FanStuff manufacures and sells 2 tailgate canopies and y coolers per week. The total weekly revenue (in dollars) realized from these sales is given by the function Rz, y] = 41251-2 |].2|] 3:2 0.15 33; + 160 r: + 130 y. The total weekly cost of manufacturing these items (in dollars) is given by the function C(m,y} = 100:: + 309+ was. {a} Determine how many canopies and coolers the companyr should manufacture each week to maximize its prot. [Round down to the nearest whole unit.) canopies coolers l {b} What is the maximum prot that can he realised? [Bound to the nearest dollar.) 8 Problem. 230 : An open rectangular box have a volume of 256 is to be constructed from a piece of cardboard. Find the dimensions of such a box if the amount of material used in its construction is to be minimal. (Hint: Let the dimensions of the hos by z x y x 2:. Then myz = 256. The amount of material to he used is the surface area: my + 2mz | 29-2. Use the rst equation to eliminate 2: from the second equation to get a function x, 1;}; minimize this function.) I 2 inches I 9 inches 2 I Inches