A Change o X VitalSource x M MyOpenMa x o Mail - Marti X Course Her X Review My | X My Audit - X 2021-2022 x Assignment X Ch4Worksh X + V X -> C @ anokaramsey.learn.minnstate.edu/d21/le/content/5741581/viewContent/54371472/View Update ED 1 of 4 + Automatic Zoom D > > Total Points: 20 1. [5 pts] Optimization Suppose you are constructing a box and trying to minimize the cost of materials for the sides, top and bottom. - The box must have a volume of exactly 80 cubic feet. - The base and top of the box are squares, but the height can be different from the width. - The sides and base cost $2 per square foot but the top costs $3 per square foot (because it's a fancy top). What dimensions will minimize the total cost? Find the width and the height. HINT 1: The volume of a box is given by the formula Volume = length . width . hight . In this case, since the top and bottom of the box are square, we can assume that length = width . HINT 2: Remember to multiply the area of each face of the box by its cost per square foot. 3:51 PM 3/30/2022 19