Select all that apply

Managers are evaluating two independent projects. Project X has a NPV of $$282,500$ and a profitability index of $2\mathrm{.}1.$ Project Y has a NPV of $$320,000$ and a profitability index of $1\mathrm{.}7.$ Which of the following statements are correct?

Multiple select question.

If funds are not limited$,$ the company should only invest in the project Y$.$

If funds are limited$,$ Project Y should be selected because it has the highest net present value.

If funds are limited$,$ Project X should be selected because it has the highest profitability index.

If funds are not limited$,$ the company should consider investing in both projects.