Does the IRR rule work in this case? $($Select the best choice below.$)$

A$.$

Yes, because when there is no IRR, NPV must be positive.

B$.$

No$,$ because there is no IRR for this project, so the IRR rule cannot be applied.

C$.$

Yes, because when there are $2$ IRRs, the NPV is negative if and only if the cost of capital is between the IRRs.

D$.$

No$,$ because there are $2$ IRRs for this project, so the IRR rule cannot be applied.