5 12 15 | Activity Time estimates (weeks) activity description predecessors a m | A Position recruiting 5 8 17 B System development A 3 System training A 4 7 10 D Equipment training A 5 8 23 E Manual system test B, C 1 1 1 Preliminary system B, C 1 4 13 changeover G Computer-personnel D, E 3 6 9 interface . Equipment modification D, E 1 2.5 7 1 Equipment testing H . 1 1 1 J System debugging and F, G 2 2 installation K Equipment changeover 1,J 11 3 N 2 5 00 (e)The following table provides the crash data for the Project. The normal activity times are to be taken as the mean values of the beta distribution and considered to be deterministic (not probabilistic) in the crashing decisions. The project overhead costs per week is $ 800 which includes the project office expenses, etc. Crash the network as much as possible, indicate the associated cost and expected completion time, and identify the new critical path. Compare the total costs of the normal plan and the "crashed plan. (f) Formulate the project management problem as a linear programming model so as to minimize the total cost of the Project and solve using any software you know. Discuss the solution. activity Activity times (weeks) normal crash 9 7 11 9 A B C 7 10 5 8 Activity cost ($) normal crash 4,800 6,300 9,100 15,500 3,000 5,000 3,600 5,000 0 0 1,500 2,000 1,800 2,000 0 0 D E F 1 1 5 3 6 5 G . I 3 3 1 1 0 0 J 2 0 2 6 0 5,000 8 7,000 5 12 15 | Activity Time estimates (weeks) activity description predecessors a m | A Position recruiting 5 8 17 B System development A 3 System training A 4 7 10 D Equipment training A 5 8 23 E Manual system test B, C 1 1 1 Preliminary system B, C 1 4 13 changeover G Computer-personnel D, E 3 6 9 interface . Equipment modification D, E 1 2.5 7 1 Equipment testing H . 1 1 1 J System debugging and F, G 2 2 installation K Equipment changeover 1,J 11 3 N 2 5 00 (e)The following table provides the crash data for the Project. The normal activity times are to be taken as the mean values of the beta distribution and considered to be deterministic (not probabilistic) in the crashing decisions. The project overhead costs per week is $ 800 which includes the project office expenses, etc. Crash the network as much as possible, indicate the associated cost and expected completion time, and identify the new critical path. Compare the total costs of the normal plan and the "crashed plan. (f) Formulate the project management problem as a linear programming model so as to minimize the total cost of the Project and solve using any software you know. Discuss the solution. activity Activity times (weeks) normal crash 9 7 11 9 A B C 7 10 5 8 Activity cost ($) normal crash 4,800 6,300 9,100 15,500 3,000 5,000 3,600 5,000 0 0 1,500 2,000 1,800 2,000 0 0 D E F 1 1 5 3 6 5 G . I 3 3 1 1 0 0 J 2 0 2 6 0 5,000 8 7,000