Suppose that your firm could invest in the following independent projects and has $$20,000$ to invest.

Project Cost NPV

A $11,0007,000$

B $9,0005,000$

Based on the profitability index $($PI$)$ and your budget, which project $($s$)$ should your firm invest in$?$

Group of answer choices

A because it has the higher PI

B because it has the higher PI

none of these

A and B because they both have a PI greater than $1$

Neither because they both have a PI less than $1$