Question

(1 point) Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equal size. The wall materials cost $55 per linear foot and your company has allocated $52800 for those walls. 1) The dimensions which use all of the budget and maximize total area are length L= (include units in this answer) width W= (units needed here too) 2) Each of the three (equal size) compartments has area (include units)

A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $5 per square foot and the metal for the sides costs $2 per square foot. Find the dimensions that minimize cost if the box has a volume of 45 cubic feet. Length of base x= Height of side z=

Answer 1

Let Home Incert NDC, Ol Dalata ..) lost of material = $52,800 → 55202 (+26) = 52800 L+2W3 52800 110 . 3) L+2W = 480 => <= 480-2W. and Area is given by, A=L+W D A = (480-224) in 480w-242 for maximum area =) A =0 dw =) 480-4 W=0 =) 4W=480 - W=120 :. Width = 120 feet. L = 480-2 (120) => 2=240) Li Length = 240 feet. Area of one compartiment = 240x120 = 9,600 (feet)?