Question: A company is considering investing in a new machine for its production line. Management has specified that $150,000 is available to invest in the machine. This money will be invested in a fund that earns 8% annually, compounded quarterly, to pay for the machine, its operation cost, and maintenance costs. A machine has been identified that has a uniform annual operation cost of $1250. The maintenance cost of the machine is zero in the first year, $200 in the second year, then increasing by an additional $200 per year after that. The machine has a life of 7 years with a salvage value that is estimated to be 5% of its initial cost. Determine the maximum amount of money that can be spent to purchase this machine.