Coore Manufacturing has the following two possible projects. The required return is $10$ percent. Year: $0,1,2,3,4.$ Project Y: $-$$ $28,900,14,900,13,300,15,700,11,300.$ Project Z: $-$$$54,000,12,500,40,000,10,500,38,000.$ 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 be the company accept?