Taskl: Main Task - Solve below two problems: (Group F) Problem 1: Given the following network with activities and times estimated in weeks, 12 D 5 E 4 Start Finish B 14 F 6 C 8 G 10 Activity A Normal Crash Normal Crash Time Time Cost Cost 12 8 8,000 12,000 14 10 5,000 7,500 8 8 10,000 10,000 5 3 6,000 8,000 4 3 5,000 7,000 6 5 9,000 12,000 10 8 5,000 8,000 a) Develop an activity schedule. b) Find the critical path. In how many weeks can the trade show take place? c) What is the total project cost using the normal times? d) If a deadline of 17 weeks is imposed, what crashing decisions do you recommend to meet the imposed completion time with at least cost? Work though the network and attempt to make the crashing decision by inspection. e) What added project cost is required to meet the 17 weeks completion time? Problem 2: Solve the following problem by Simplex Method by explaining at each stage. You may use The Management Scientist output to confirm answers. Max 7x1 + 5x2 s.t. 2x1 + x2 0 3