Company A is considering two investment opportunities, Project Alpha and Project Beta. Below are the expected cash flows:

Year	Project Alpha	Project Beta
0	-$60,000	-$85,000
1	$15,000	$20,000
2	$20,000	$25,000
3	$25,000	$30,000
4	$30,000	$35,000
5	$35,000	$40,000
6	$40,000	$45,000

a. Calculate the NPV and IRR for each project, assuming a required rate of return of 10%. b. Determine the traditional payback period for each project. c. If the projects are independent, which project(s) should be selected? If mutually exclusive, which project should be selected? d. Calculate the Profitability Index for each project. e. Perform a sensitivity analysis with discount rates of 5%, 10%, and 15%.