A company is considering expanding their production capabilities with a new machine that costs $58,000 and has a projected lifespan of 9 years. They estimate the increased production will provide a constant $7,000 per year of additional income. Money can earn 1.3% per year, compounded continuously.

a) Should the company buy the machine?

b) Is the PV greater or less than the cost of the machine, and by how much?