Jerry wants to produce rectangular boxes. Each box will have a brass bottom, platinum plated sides and a. gold plated top, and each box will have a. volume of 500 cubic inches. The costs of the materials are . Brass: $4 per square inch. . Platinum plated: $35 per square inch. . Gold plated: $25 per square inch. (a) (6 pts) Find the dimensions of the box (.1: = length,1..- : width, 3 = height) that minimize Jerry's cost of materials per box. (b) (2. pts') By approximater how much will the minimum cost of materials per box increase if we decide to increase the volume of the box to 502. cubic inches