Coore Manufacturing has the following two possible projects. The required return is $12$ percent.

a$.$ What is the profitability index for each project?

Note: Do not round intermediate calculations and round your answers to $3$ decimal places, e$.$g$.,32\mathrm{.}161.$

b$.$ What is the NPV for each project?

Note: Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

c$.$ Which, if either, of the projects should the company accept?