A newspaper is considering buying locked vending machines to replace open newspaper racks in the downtown area. The vending machines cost $45 each. It is expected that the annual revenue from selling the same quantity of newspapers will increase $12 per vending machine. The useful life of the vending machine is unknown.

( a ) To determine the sensitivity of rate of return to useful life, prepare a graph for rate of return versus useful life for lives up to 8 years.

( b ) If the newspaper requires a 12% rate of return, what minimum useful life must it obtain from the vending machines?

( c ) What would be the rate of return if the vending machines were to last inde?nitely?