Problem 5 A project consists of ten parts P1, P2,..., PIO. There comple- tion times, in weeks, are (PI) = 10.d(P2) = 7. d(P3) - 6. d(PA)-5. (P5) -5 (P6) = 6, d(17)-1, (P) =), dp9) = 1. (P10) - 5 P5 cannot start until PI, P2 and P3 are complete. P6 cannot start until P2, P3 and P4 are complete. P7 cannot start until PS is complete. Pe cannot start until P5 and are complete P9 cannot start until P6 is complete. P10 cannot start until P6 is complete a) Find the critical tales and paths for this project. b) Which is the shortest time this project will take