$10.$ Jefferson International is trying to choose between the following two mutually exclusive design projects: The required return is $25\%.$ If the company applies the profitability index $($PI$)$ decision rule, which project should the firm accept? If the company applies the NPV decision rule, which project should it take? Given your first two answers, which project should the firm actually accept?

Year Cash flows $($A$)$ Cash flows $($B$)$

$0$ $ $92,000$ $ $72,000$

$1$ $ $26,900$ $ $37,900$

$2$ $ $26,900$ $$45,600$

$3$ $$92,700$ $ $25,000$

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