You are a marketing major and have been working at a major consumer products company for the past three years. Today, your boss walked into your office and said, “Polly, I want you to be the Project Leader for our launch of Perfect Clean Home System. It must be successful; we have invested over $100 million in its development.” After discussing the project for an hour, your boss left the room. After several days of thinking about the project, panic began to overwhelm you. You realized you should have paid more attention to your operations management course, and especially the lecture on the critical path method. All of your work colleagues said without it, you will fail on such a complicated project. During the next week you reviewed the project management material in your old OM text and feel confident that you can handle this task. Basic project information is as follows.

a. Draw the project network.

b.  What is the critical path(s) and expected completion time for this project?

c. What activity has the largest amount of slack?

d. If activity D is delayed by two weeks, what are the revised critical path(s)?

e.  What activity or activities would you crash to reduce the original project completion time by two weeks at minimum crash costs?

f.  What is the total project (normal plus crash) costs given your answer to the previous question?

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Activity A B с CDEFL D G Immediate Predecessor(s) None None None A с A B, D, E, F Normal Time (Weeks) 3 6 2 5 274 Crash Time (Weeks) 2 6 1 3 1 6 3 Normal Cost ($) $14,000 $ 5,500 $ 6,000 $ 7,500 $ 9,000 $15,000 $ 8,400 Crash Cost ($) $16,500 $ 5,500 $ 8,000 $14,500 $10,500 $18,000 $10,000