The capitalized cost of an asset is the sum of the original cost of the asset and the present value of maintaining the asset. Suppose a company is considering the purchase of two different machines. Machine A costs $10,000 and t years from now will cost MA (t) = 1,000 (1 + 0.05t) dollars per year to maintain. Machine B costs $12,500, but its maintenance cost at time t is MB (t) = 1, 150 dollars per year. If the cost of money is 9% per year compounded continuously, what is the capitalized cost of each machine? Which machine should the company purchase?