Question 1 Stone Ltd. has just accepted a project from one of its customers Good4You Ltd. The project can be broken down into the following eight activities. Activity Immediate Predecessor(s) Activity time (days) Optimistic Most likely Pessimistic A - 4 11 12 B - 45 48 63 C B 13 33 35 D B 25 29 39 E A,C 14 21 22 F D,E 18 32 34 G A,C 17 19 27 H H 15 20 25 a. Draw the network diagram for this project. b. Determine the mean (expected value) and variance of each activity time. c. Determine the earliest start, earliest finish, latest start, and latest finish times for each activity using the mean activity time. d. What is the critical path of this project? e. What is the expected completion time of the project? f. John Hamilton, the managing director of Stone Ltd. wants to find the due date that guarantees a 88% chance of on-time completion. Find the due date that the company to promise to its customer. g. Find the probability that the project will be completed in 125 days.

Question 1 Stone Ltd. has just accepted a project from one of its customers Good4You Ltd. The project can be broken down into the following eight activities. Immediate Predecessor(s) I 45 48 Activity B D E F G H Activity time (days) Optimistic Most likely Pessimistic 4 11 12 63 13 33 35 25 29 14 21 22 18 32 17 19 27 20 25 B B AC DE AC H 39 34 15 a. Draw the network diagram for this project. b. Determine the mean (expected value) and variance of each activity time. c. Determine the earliest start, earliest finish, latest start, and latest finish times for each activity using the mean activity time. d. What is the critical path of this project? e. What is the expected completion time of the project? f. John Hamilton, the managing director of Stone Ltd. wants to find the due date that guarantees a 88% chance of on-time completion. Find the due date that the company to promise to its customer. 8. Find the probability that the project will be completed in 125 days. 1