A firm considers the following 2 mutually exclusive projects (cash flows in $) and wants a payback period of 2 years or less. Assume a discount rate of 14.2% throughout the problem. Year Project A Project B 0 -57 -56 1 27 21 2 26 36 3 40 20 4 120 Notes: The IRRs for this question will require Excel or a financial calculator. Define the profitability index as PI = PV(Future Cash Flows)/Cost. The payback period of project A is years. (Round to two decimal places.) 40 The payback period of project Bis years. (Round to two decimal places.) What is the profitability index of project A? What is the profitability index of project B?| What is the NPV of project A? What is the NPV of project BPS What is the internal rate of return of project A? What is the internal rate of return of project B? According to the payback rule, which of these projects should be chosen? O(No answer given) OProject B OProject A According to the profitability index, which of these projects should be chosen? O(No answer given) OProject A Project B Which one would you recommend the firm choose? (No answer given) Project B Project A