23 May DETERMINE WHICH ACTIVITIES HAVE SLACK TIME AND HOW MUCH IT IS FOR EACH ONE
Kristen and Marlon, two recent WPU graduates, own K&M, a company that produces cable assemblies. Business has been good so Kristen and Marlon have decided to expand their product line to include a new cable product, which will be manufactured in the current facility. They have decided to use a project management approach to bring the new product on line, and have identified 11 activities and their precedence relationships: Activity Description Predecessor a m b Crash time Normal Cost Crash Cost A Develop product specifications None 4 8 12 6 8000 11000 B Design manufacturing process A 6 12 18 10 30000 35000 C Source and purchase materials A 4 6 8 4 6000 6000 D Source and purchase tooling equipment B 8 12 16 8 24000 28000 E Receive and install tooling equipment D 16 30 32 24 60000 72000 F Receive materials C 4 10 16 8 5000 6500 G Pilot production run E, F 4 4 4 4 6000 6000 H Evaluate product design G 2 4 6 4 4000 4000 I Evaluate process performance G 4 6 8 4 4000 5000 J Write documentation report H, I 4 8 12 4 4000 6400 K Transition to manufacturing J 4 4 4 4 5000 5000 1. Construct a network diagram 2. Calculate the expected time and variance for each of the project activities 3. Calculate the ES, EF, LS and LF times 4. Find the critical path for this project 5. Determine which activities have slack time and how much it is for each one 6. Determine the expected completion time for the project 7. Kristen and Marlon want to know the probability of completing the project in (i) 76; and, (ii) 84 weeks 8. If Kristen and Marlon want to finish their project in 72 weeks, how should they proceed?
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