The treasurer of Tropical Fruits, Inc., has projected the cash flows of Projects A$,$ B$,$ and C as follows:

Year   Project A     Project B        Project C

$0-$$ $175,000-$$ $325,000-$$ $175,000$ 

$1\mathrm{ \; \; \; 1}15,000\mathrm{ \; \; \; 2}10,000125,000$

$2\mathrm{ \; \; \; \; 1}15,000210,00095,000$

Suppose the relevant discount rate is $8$ percent per year.

a$.$ Compute the profitability index for each of the three projects. $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Compute the NPV for each of the three projects. $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$