A pencil cup with a capacity of 37 in. is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 26c/in. and the material for the base costs 44c/in.2, what should the dimensions of the cup be to minimize the construction cost (in c)? Round your answer to two decimal places, if necessary. Let x be the length (in in.) of the side of the square base of the open box, and h be the height (in in.) of the box. X = in Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. A(x ) = x+ 148 cents X (b) State the domain of this function. (Enter your answer using interval notation.) 0,00) (c) Give the formula for h in terms of x. 31 2