The LSUS Corporation has a project costing $$40,000$ and cash flows of $$8,500,$$$15,600,$ and $$22,700$ for Years $1$ to $3,$ respectively. Based on the profitability index rule, should the project be accepted if the discount rate is $9\mathrm{.}5$ percent? Why or why not? $($Hint: to compute PI$,$ you need to use the CF functions and intentionally define the CF$0$ as zero on your financial calculator, so that you will not double count the initial cash outflow$)$

a$.$ Yes; because the PI is negative

b$.$ Yes; because the $\frac{?}{PI}$ is $1\mathrm{.}03$

c$.$ No; because the $\frac{?}{PI}$ is $0\mathrm{.}95$

d$.$ No; because the $\frac{?}{PI}$ is $1\mathrm{.}03$