Convex Productions has just received a contract to film a commercial video that will air during a major sporting event in North America, and then be available on-demand through banner advertisements on the inter- net. For planning purposes, Convex Productions has decided to treat this contract like a PERT problem, and thus has provided the following data on the five major tasks that must be completed to film the commercial video:

Please answer the following three questions, based on this information.

Questions 

1. What is the expected completion time of this project? What is the critical path through this project? 

2. What is the late start time of activity D, arranging publicity and distribution? 

3. Convex Productions has agreed to start on this project immediately. If Convex Pro- ductions does not complete the project within 8 days of starting it, Convex loses a large financial bonus for prioritizing this particular project. What is the probability that Convex Productions will actually earn this bonus?

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Activity Description Optimistic Most Likely Pessimistic Immediate Time Predecessor(s) (days) Time Time (days) (days) A Hire staff, cast None 1 2.5 4 B Record soundtrack None 1 4.0 7 C Film scenes A 1 2.5 4 D Arrange publicity & distribution A 2.5 7 E Edit film B, C 2.5 4