Problem 1: You are considering the purchase of one of two machines used in your manufacturing plant. Machine A has a life of two years, costs $80 initially, and then $125 per year in maintenance costs. Machine B costs $150 initially, has a life of three years, and requires $100 in annual maintenance costs. Either machine must be replaced at the end of its life with an equivalent machine. Which is the better machine for the firm? The discount rate is 12 percent, and the tax rate is zero.