Question # 1. (2 Marks) Consider the network shown below. The time, in hours, between nodes is shown along each branch a. Develop a mathematical model that determine the shortest route between node 1 and 6. b. Solve it using LINDO and show the results. c. What is the shortest route between node 1 and 6? d. Which route corresponding with the optimal solution in part b above should be followed? N 2 2 2 Answer: Question #2. (3 Marks) Consider the table below showing the activities that comprise a project. Each activity's estimated completion time (in weeks) and immediate predecessors are listed as well. a. Draw the project diagram. b. Determine the expected total time to complete the project. c. Determine the slack for each activity. d. Determine all critical paths and critical activities. e. How many weeks correspond with 80% project completion? f. What is the probability that the project can be completed in 40 weeks or less? Activity Predecessors 1 m 5 8 12 b 17 15 2 3 4 1 7 3 4 5 10 23 8 1 1 5 1 1 3 4 1 2,3 2,3 4,5 4,5 8 6,7 6 7 13 9 8 1 7 6 2.5 1 2 9 10 1 2 1 2 7,9 5 8 1