Your division has been allocated $15M for capital projects for the coming year. You've been able to identify five potential projects, as outlined in the table below, each of which will last 10 years.
Project Name
|
Initial Cost
|
Annual Cash Flows
|
Discount Rate
|
Alpha
|
8M
|
2M
|
6%
|
Bravo
|
7.5M
|
2.25M
|
9%
|
Charlie
|
4M
|
0.75M
|
3%
|
Delta
|
5M
|
0.6M
|
4%
|
Echo
|
2M
|
0.5M
|
10%
|
a. Show the profitability index of each project.
b. Which project(s) should the firm undertake?
c. Which project(s) would the firm undertake if capital is not rationed?