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Task Must Follow Expected Time (Days) A 5 B None None D 10 3 Dummy 6 B E F 8 G 11 B C,D C,D E, G, A F,H H 14 1 8 J 6 a. e. Draw a PERT diagram. Use the traditional management science notations. b. Identify the critical path. C. Draw the Gantt chart. Use the traditional management science notation. d. Based on the information given in the first table and the date shown below, minimize the time it takes to complete the project. Assume an unlimited budget. Minimize the time it takes to complete the project under the assumption of $1,000 budget. Task Days Required Crash Time Cost of Expediting $140 10 7 150 1 40 Dummy 100 6 A 5 3 B 3 D 0 E 6 60 60 F 8 6 G 11 7 80 H 14 13 70 1 8 6 J 6 4 60