MATH 510a Final: MATH 51 USC Final solutions
Document Summary
Solutions to math 51 final exam august 13, 2016: (12 points) you are a house building construction company. Suppose that wood costs per unit, and nails cost per unit. Your company is building a new house, and has a total maximum budget for wood and nails of . You may assume that there is a largest size house that you can build given your company"s budget, and that it occurs precisely when you spend your entire budget. You may express your answer in the form 100x1/2 for some x0, y0. Not checking this resulted in a minor deduction of 2 points). To nd the local extrema (x, y), we solve the system in x, y and given by (1) and the constraint equation, namely: We substitute (5) into the constraint equation (4) to nd that y = 100 x = 400. Thus, we nd only one potential local extremum of h|s at (x, y) = (400/3, 100/3).
