Question 1(40 Points): A project has been defined to contain the following 10 activities along with their required times for completion. Activity Immediate Predecessors Normal Cost (S) Crash Cost (S) Crash Duration (Weeks) 6 6 1 4 7 A B D E F G H I J Normal Time (Weeks) 7 8 2 4 9 6 2 9 1 8 None A A A B,C C,D E E,F G HI 3000 5000 2000 3000 4000 4000 3000 4000 4000 2000 6000 9000 3000 3000 6000 9000 3000 7000 4000 7000 Maximum Weeks Reduced 1 2 1 0 2 2 0 2 0 2 4 2 7 1 6 a. Draw the network diagram. What is the expected project completion time? b. What is the critical path? c. Optimize the network shown by reducing the normal time and determine the resulting project cost. (Hint: Perform 3 iterations and draw the network with each crash). What is the most economical way to reduce completion time by 3 or 5 weeks