The Michner Corporation is trying to choose between the following two mutually exclusive design projects: Year: $0,1,2,3.$ Cash Flow $($I$)-$$ $88,000,37,900,48,000,28,000.$ Cash Flow $($II$)-$$$56,000,11,400,35,500,29,500.$ A$-1$: If the required return is $11$ percent, what is the profitability index for each project? Note: Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}161.$ A$-2$: If the company applies the profitability index decision rule, which project should it take? B$-1$: If the required return is $11$ percent, what is the NPV for each project? Note: Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ B$-2$: If the company applies the net present value decision rule, which project should it take?