The profitability index of the project is 103.67%.
Profitability index is a capital budgeting method that is used to determine the profitability of a project. Profitability index is the ratio of the net present value of the project and the initial cost of the investment.
Profitability index = 1 + (NPV / Initial investment)
NPV = -5000 + 900 / 1.08 + 900 / 1.08^2 + 900 / 1.08^3 + 1400 / 1.08^4 + 1400 / 1.08^5 + 1400 / 1.08^6 = $183.48
Profitability index = 1 + (183.48 / 5000) = 1.0367 = 103.67%
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