part a is answered below, please answer part b and c and provide detail resason.

Consider the three mutually exclusive projects below, with an MARR = 10%. a. Calculate each project's PW, AW, FW, and IRR. b. Which would you recommend? c. Why might one project have the highest PW while a different project has the largest IRR? (a) PW_1 = $2, 745, PW_2 = $2, 566, PW_3 = $2, 429 IRR_1 = 25%, IRR_2 = 26.5%, IRR_3 = 22.2%