Problem 1 The durations and direct costs for each activity in the network of a small project under both normal and crash conditions are given in the following table. a) Establish the least cost for accelerating the project to be completed within 96 days. b) Determine the optimum duration of the project assuming the indirect cost is LE 250/day. Normal Crashability Cost Description Predes. Slope Time Cost days) (LE) B H Preparation Move on to site Obtain pipes Obtain valves Locate pipeline Cut specials Excavate trench Prepare valve chambers CG Layout joint pipes C.G Fit valves D.F.H Concrete anchors Backfill Finish valve chambers J.K Test pipeline JK Clean up site Leave site MO J.K LN P Problem 2 XYZ Project has 20 activities, each activity uses 4 different resources with their limits given in the following table. It is required to schedule the project so that the daily resource requirements do not exceed the resource limits. Activity Duration Predecessors Daily Resource Requirements R2 R3 > A,B -- = 0 -- D AB G H - O ZZ - CE E, G, H IK FL L J, M, N 0 -- DO PR 0 2 1 Daily Resource Limits 8 | 2 12 Problem 3 Consider the project presented in Problem 2: a) Implement resource levelling and smoothing for each individual resource over the project life. b) Implement resource levelling and smoothing for both R1 and R2 at the same time with higher priority for R1 (R1 per unit cost is triple that of R2). Problem 1 The durations and direct costs for each activity in the network of a small project under both normal and crash conditions are given in the following table. a) Establish the least cost for accelerating the project to be completed within 96 days. b) Determine the optimum duration of the project assuming the indirect cost is LE 250/day. Normal Crashability Cost Description Predes. Slope Time Cost days) (LE) B H Preparation Move on to site Obtain pipes Obtain valves Locate pipeline Cut specials Excavate trench Prepare valve chambers CG Layout joint pipes C.G Fit valves D.F.H Concrete anchors Backfill Finish valve chambers J.K Test pipeline JK Clean up site Leave site MO J.K LN P Problem 2 XYZ Project has 20 activities, each activity uses 4 different resources with their limits given in the following table. It is required to schedule the project so that the daily resource requirements do not exceed the resource limits. Activity Duration Predecessors Daily Resource Requirements R2 R3 > A,B -- = 0 -- D AB G H - O ZZ - CE E, G, H IK FL L J, M, N 0 -- DO PR 0 2 1 Daily Resource Limits 8 | 2 12 Problem 3 Consider the project presented in Problem 2: a) Implement resource levelling and smoothing for each individual resource over the project life. b) Implement resource levelling and smoothing for both R1 and R2 at the same time with higher priority for R1 (R1 per unit cost is triple that of R2)