Develop schedule and resource allocation plans for ABC construction project. The construction requires performing the following tasks:

Project Scope and Information ABC Company distributes a variety of food products that are sold through grocery and supermarket outlets. ABC wants to automate its warehouse by installing a computer-| controlled order-packing system, along with a conveyor system for moving goods from storage to the warehouse shipping area. ABC material management is assigned as the project manager of this automated warehouse system. After consulting with members of the engineering staff and warehouse management personnel, the project manager has compiled a list of activities associated with the project and planned them as follows: Activity Description Prede- Normal Time Crash Normal Crash Resources cessor Weeks) Time Laborers Weeks) Costs ($) per week most likely pessimistic Optimistic A Determine 2 3 4 2 1,000 1.900 equipment needs B Obtain vendor 3 1.000 1.800 2 proposals C Select vendor A.B 1 3 1,500 2,700 4 D Order system C 4 12 2,000 3.200 2 E Design new C 3.5 6.5 5,000 8,000 3 warehouse layout F Design warehouse E 2 3 4 3.000 4.100 3 G Design computer C 2 3 10 B.000 10,250 2 interface H Computer interface G 2 3 4 2 5.000 6.400 2 implementation Install system D.F 2 4 6 10,000 12,400 4H 4 Train system I.H 1.5 2 2.5 4.000 4.000 2 operators K Test system 2 3 2 5,000 5,000 1Givens: The table shows the cost of each activity in its normal duration and with its crash duration. The table also shows the possible crash times of each activity. OO You have to compute the expected normal duration of each activity and add them to the table to continue solving the problem. The project has a required completion time of 25 weeks. Project Requirements: A. Network and Logic Drawing 1. List all the activities involved in this planning problem with their expected times. 2. Prepare a table showing all the activities with their predecessors 3. Draw a project network diagram using Activity in the Box (AIB). 4. Draw the equivalent project network using Activity on Arrow (AOA). 5. Draw an early start (ES) Gantt Chart that reflects the activities on the above network. 6. Find the critical path showing both forward pass and backward pass calculations. 7. Prepare an activity schedule table showing ES, LS, EF, LF and the total slack (TS) and free slack (FS) of all activities. 8. What is the expected project total completion time? Compute the standard deviation of the project completion time. What is the probability that the project will be completed in the required completion time? 9. If the client wants to shorten the project by 7 weeks from its EF time, show how this could be achieved with minimum costs to be incurred. 10.Draw a Cumulative Budgeted Cost curve (CBC) for all activities based on ES plan for all activities. Assume the cost per activity is evenly distributed over its planned duration 11.Draw a Planned Resource Utilization chart and a Resource Profile based on ES plan for all activities