$$ A company is considering expanding their production capabilities with a new machine that costs $$31,000$ and

has a projected lifespan of $6$ years. They estimate the increased production will provide a constant $$5,000$ per

year of additional income. Money can earn $1\mathrm{.}8\%$ per year, compounded continuously. Should the company buy

the machine?

A$)$ No$,$ the present value of the machine is less than the cost by $[$number$]$ over the lifetime of the machine.