You are evaluating the following two mutually exclusive projects:

Project Year $0$ Year $1$ Year $2$

A $-$$$100$ $$80$ $$160$

B $-$$$50$ $$50$ $$120$

Both have $15\%$ cost of capital. Using NPV profiles for Projects A and B$,$ determine which project would be chosen under each of IRR rule and NPV rule. $($Hint: Draw the NPV profiles.$)$

Group of answer choices

A$.$ B under both IRR and NPV rules

B$.$ B under IRR rule, and A under NPV rule

C$.$ A under IRR rule, and B under NPV rule

D$.$ Cannot be determined.

E$.$ A under both IRR and NPV rules