17-118 Precalculus-Algebra Section 2.9 Well-Written A closed box with a square base is to be manufactured. The material for the top of the box costs $2 per square foot and the material for the remainder of the box costs $1 per square foot. If the total cost per box is to be $48, find the dimensions of the box with the largest volume. Please include the following steps with appropriate work (more may be included, these are the minimum). a. A labeled sketch. X b . Variables defined and labeled on the sketch. X X = length and he height of the Dow Get M - on C. A constraint equation for the cost. d. An objective function (expressing the volume in terms of only one variable). e . The domain of the objective function. f. A graph of the objective function. g. A sentence to answer the the question asked