Question: a m 3. (Chapter 3: 20 points). Canada is near the front of the line to get millions of doses of four of the most

a m 3. (Chapter 3: 20 points). Canada is near the

a m 3. (Chapter 3: 20 points). Canada is near the front of the line to get millions of doses of four of the most promising COVID-19 vaccines in development. It is March 2020. A local pharmaceutical company has decided to develop vaccines for COVID-19. The company has signed a contract with the Government of Canada to deliver millions of doses of COVID-19 vaccines. The company wants to know how long it will take to develop and release vaccines. The following table provided a slightly simplified process for vaccines development and release in Canada The relevant tasks involved, their immediate predecessors, and their time estimates are shown in the following table. Activity Immediate Time estimates Mean Variance Predecessor(s) (weeks) time b (1) A Identify strains None 12 16 20 B Prepare hybridized viruses 12 18 C Verify hybrid viruses 2 D Distribute hybrid viruses to 24 manufacturings E Develop testing reagents F Setup manufacturing D 10 G Manufacturer vaccine 4 4 4 H Test vaccine in house E,G 22 I Vaccine packaging and release 12 J Clinical test I 14 K Review and release vaccine (Health 2 20 26 Canada) 6 A B 10 6 8 4 8 4 6 6 8 F H 6 4 2 14 8 8 a) For each activity, determine expected activity times and variance. (4) b) Draw the network diagram for this project, identify the critical path and determine the expected project duration time and variance. What is the expected completion time of the non-critical path(s) in the network? What are the variances of the non-critical paths in the network? (8) c) Determine the slack for activities B, E, H, & J. (2) d) Suppose the operations manager of the company told the Government of Canada in 90 weeks. What is the probability that it will, in fact, be ready by that time? (3) e) Suppose the government, frustrated with delayed developments, has told the operations manager of the pharmaceutical company that if the vaccine is not ready within 75 weeks, it will seek alternative sources. What is the probability that the company delivers the vaccines to the Government of Canada with 75 weeks? (2)

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