a) Compare and contrast the project evaluation and review technique (PERT) with the critical path method (CPM). (10 Marks). b) You are the Project Manager of a Company that has just won a bid of $5.4 million to construct a new plant for the Ministry of Trade and Industries. The Ministry needs the plant to go into operation within a year. Therefore, the contract includes the following provisions: A penalty of $300,000 if your Company has not completed the construction by the deadline 47 weeks from now. To provide additional incentive for speedy construction, a bonus of $150,000 will be paid to your Company if the plant is completed within 40 weeks. Working with your project team, you have created a list of the various activities below, with the third column providing important additional information for coordinating the scheduling of your team. For any given activity, its immediate predecessors (as given in the third column) are those activities that must be completed by no later than the starting time of the given activity. (Similarly, the given activity is called an immediate successor of each of its immediate predecessors.) Activity A300 B D M N Activity Description Excavate Lay the foundation Put up the rough wall Put up the roof Install the exterior plumbing Install the interior plumbing Put up the exterior siding Do the exterior painting Do the electrical work Put up the wallboard Install the flooring Do the interior painting Install the exterior fixtures Install the interior fixtures Immediate Predecessors E, G C FI 1 1 H K, L Estimated Duration 2 weeks 4 weeks 10 weeks 6 weeks 4 weeks 5 weeks 7 weeks 9 weeks 7 weeks 8 weeks 4 weeks 5 weeks 2 weeks 6 weeks Based on the above preamble and table, please answer the following questions: a. Demonstrate using a graphical presentation the flow of the activities such that it could be better visualized (4 Marks). b. Determine the total time required to complete the project if no delays occur? (2 Marks). c. Assess using appropriate examples when the individual activities need to start and finish (at the latest) to meet this project completion time? (2 Marks). d. Determine when the individual activities could start and finish (at the earliest) if no delays occur? (2 Marks). e. Determine the critical bottleneck activities (Critical Path) where any delays must be avoided to prevent delaying project completion? (1 Mark). f. Per the contractual agreement, do you think the project manager and team will pay any penalty? Justify your response. (2 marks). g. Per the contractual agreement, do you think the project manager and team will receive the additional incentive of $150,000 bonus? Justify your response.