Consider the following cash flows:

a$.$ What is the profitability index for the cash flows if the relevant discount rate is $11$ percent?

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

b$.$ What is the profitability index if the discount rate is $16$ percent?

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

c$.$ What is the profitability index if the discount rate is $23$ percent?

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

a$.$ Profitability index

b$.$ Profitability index

c$.$ Profitability index