Consider the two projects in the table below.

Click the icon to view the relevant data for two projects.

Click the icon to view the interest factors for discrete compounding when $i=7\%$ per year.

$($a$)$ Calculate the profitability index for A $1$ and A $2$ at an interest rate of $7\%.$ Fill in the table below. $($Round to two decimal places.$)$

$\backslash$table$[[,$Project A$1,$Project A$2],[\frac{?}{PI}(i),,]]$

$($b$)$ Determine which project$($s$)$ you should accept if you have enough money to undertake both. Choose the correct answer below.

A$.$ Project A$1$

B$.$ ProjectA$2$

C$.$ Both Project A$1$ and Project A$2$

D$.$ Neither Project A$1$ nor Project A$2$

Determine which project$($s$)$ you should accept if you could take only one due to a budget limit$.$

The incremental PI ratio is $.($Round to two decimal places.$)$

Select the correct choice from the drop$-$down menu below.

You should accept $$ Project A$1$ if you could take only one due to a budget limit$.$