please show all calcuations clearly, thank you! also show financial calculator inputs if possible

15. You are considering two independent projects both of which have been assigned a discount rate of 8 percent. Based on the profitability index (defined as the ratio of the present value of future cash flows to the initial investment of a project), what is your recommendation concerning these projects? Flow a. You should accept both projects since both of their PIs are positive. b. You should accept project A since it has the higher PI. c. You should accept both projects since both of their PIs are greater than 1. d. You should only accept project B since it has the largest PI and the PI exceeds 1. e. Neither project is acceptable