Symon's Sausage Corporation is trying to choose between the following two mutually exclusive design projects:

Year Cash Flow $($I$)$ Cash Flow $($II$)$

$0$$ $48,000$$ $22,800$

$124,10012,600$

$224,10012,600$

$324,10012,600$

$1.$If the required return is $12$ percent, what is the profitability index for each project?

$2.$What is the NPV for each project?