Coore Manufacturing has the following two possible projects. The required return is $10$ percent.

Year Project Y Project Z

$0$$ $27,900$$ $59,000$

$113,90017,500$

$212,30030,000$

$314,70015,500$

$410,30028,000$

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?