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

Year Project Y Project Z

$0$$ $27,600$$ $56,000$

$113,60019,000$

$212,00027,000$

$314,40017,000$

$410,00025,000$

What is the profitability index for each project?

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

What is the NPV for each project?

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

Which, if either, of the projects should the company accept?