A company is considering two projects, A and $B.$ The following information has been gathered on these projects:

Project A Project B

Initial investment needed $,$$$112,500$$$75,000$

Present value of future cash inflows $$168,000$$$107,000$

Useful life

$10$ years $10$ years

Based on this information, which of the following statements is $($are$)$ true?

I. Project A has the highest ranking according to the project profitability index criterion.

II$.$ Project $B$ has the highest ranking according to the net present value criterion.

Only II

Neither I nor II

Both I and II

Only $1$