Richard Miller is evaluating two new business opportunities. Each of the opportunities shown below has a $15-$year life. Richard uses a $12\%$ discount rate. Option $1$ Option $2$ Equipment purchase and installation $$70,100$ $$81,430$

Annual cash flow $$28,900$ $$31,340$

Equipment overhaul in year $6$ $$5,000-$

Equipment overhaul in year $8-$ $$6,350$

Calculate the net present value of the two opportunities.

Net Present value Option $1$ $ Option $2$ $

B$,$ calculate the profitable index of the opportunities $($ round answer to$2$decimal places $,$ eg $15\mathrm{.}25)$