Final answer:
The profitability index for the potential investment is approximately 0.3813.
Step-by-step explanation:
The profitability index is calculated by dividing the net present value (NPV) by the initial investment. In this case, the NPV is $36,224 and the initial investment is $95,000.
Profitability index = NPV / Initial investment = $36,224 / $95,000 = 0.3813.
Therefore, the profitability index for the potential investment is approximately 0.3813.