The project information of the project Automated Warehouse Order Picking System is presented as following. Draw a project network for this project. Compute the early and late activity times and the slack times. Identify the critical path. How many days will the project take? ID A B C D E F G H 80 130 85 95 Activity Define requirements Assign team Design hardware Code software Build & test hardware Develop patent request Test software Integrate systems Predecessor None A A B C C D E (F-S, lag 20d),F,G Time (days) SSDRESSE 5 5 20 20 10⁰ 15 15 40

Relevant information for a project consisting of activities A, B, ..., K is provided in the table below and the project network is provided. Activity Time in Weeks Immediate Predessors A 2 ΝΑ B C D E F G H I J K 7 7 6 2 2 7 7 2 6 5 The project network is: ΝΑ A, B C с E C D, F, G D, F H I, J What is the minimum number of weeks that the project can be completed in (i e. the duration of the critical path)?

Event Predecessor Event Time A - 6 B - 8 C A;B 12 D C 4 E C 6 F D;E 15 G E 12 H F;G 8 Specify : a) The project age b) Critical event and critical time

B indicate critical path C what is expected completion for the project? D what is the probability that the project will take more than 30 days to complete?

Build a PERT Analysis for a 3-month project with 6 activities (A to F) and 5 nodes

Build a PERT Network Diagram for a 3-month project with 6 activities (A to F) and 5 nodes

Charlie Cook was able to determine the activity times for constructing his chemical contaminant tracking machine. Cook would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Q Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A B C D 7 8 2 1 Charlie's earliest start (ES) and earliest finish (EF) are: A A Activity A EFGH ES EF 7 5 7 11 8 B B C, E D, F

4 01:34:47 The network diagram and task times for a project are shown below. A₁ A2 Late start time A3 Task A₁ A₂ A3 A₁ A5 What is the late start time for activity A3 ? Duration (days) 7 6644 A4 days A5

PERT-CPM Yu and Mi Company is planning to computerize its accounting system. Its IT consultant has determined the following activities required to complete this project together with the time estimates and precedence relationships. Time estimates (weeks) Optimistic Most Likely Pessimistic 5 Activity Description Predecessor Recruit project personnel System development System training Equipment training Manual system test Prel. System changeover Computer-personnel interface Equipment redesign Equipment testing J A 8 12 17 B 3 15 C A 4 7 10 D A 8 23 В. С В. С D, E D, E E F 1 1 1 1 4 13 3 H 1 2.5 7 I H 1 1 1 System debugging and installation Equipment changeover F, G G, I K 5 8. 11 a. Determine the expected project completion time and the variance. b. What is the project's critical path? c. Determine the probability that the project will be completed in 40 weeks or less.

Q4