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

Year Project Y Project Z

$0$$ $55,600$$ $89,000$

$126,90036,000$

$219,60034,800$

$322,70032,500$

$416,60029,300$

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?