ID a) A project has the following information. Draw a network diagram for that project using forward and backward pass, and calculate the project completion time. Activity Predecessor Duration (weeks) 1-2 None 3 1-3 None 2-5 1-2 (A) 7 3-5 1-3 (B) 4-6 F 1-4 (C) 5-6 2-5 (D); 3-5 (E) B None 2 1 1-4 D E 6 2 4 b) Based on the above information about the project, the project manager sets another information about the normal and crashing time plus normal and crashing cost (see the table below). Activity ID 1-2 1-3 1-4 2-5 3-5 4-6 5-6 B D E F Time Normal Crashing Normal 3 2 1,000 2 1 2,000 1 1 300 7 3 1,300 6 3 850 2 1 4,000 4 2 1,500 Cost Crashing 1,600 2,700 300 1,600 1,000 5,000 2,000 Do crashing (manually) and calculate the total project cost weekly. Show the crashing procedure weekly in weekly diagram network (i.e. critical and non-critical path). Present the result in a graphic format and provide conclusion and interpretation. Note: you may add assumption or other relevantecessary information for that project