Section 2: Answer all the following questions by evaluating the operations research tools, and techniques in an organization. QUESTION 3 The Kingdom International Medical Research Center has an important project, i.e. to combat the recently spreading virus. The head of the research division has identified ten groups in his division which will need to carry out different phases of this research and development project. The manager of each group has provided a most likely estimate, an optimistic estimate, and a pessimistic estimate of the duration of that group's activity. The following Table shows the work to be done by the respective groups, the precedence relationships for when these groups need to do their work, and the estimated times from the manager of each group. (6.5 Marks) Activity Immediate predecessors Estimate time (Weeks) | Optimistic Pessimistic Most likely 1.5 15 2 3.5 2 21 18 1.5 15 0.5 3 5 2 F - C D B E, F G, H G - 0.5 2.5 24 16 14 25 18 18 H 3.5 3 3 2 a. [1.5 Marks Draw the complete project network. b. [1 Mark Determine the expected total time to complete the project. c. [1 Mark] Determine the slack for each activity. d. 1 Mark] Determine the critical path and critical activities. e. [1 Mark] Determine the probability that the project can be completed within 22 weeks. f. (1 Mark) How many weeks can the project be completed with a probability of 30%