solve the following case study :

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 Act. Description Predes. Slope Time Cost (days) LE A Preparation 10 200 B Move on to site A 20 200 C Obtain pipes A 40 1800 D Obtain valves 28 500 10 E Locate pipeline B 150 F Cut specials 10 100 4 40 G Excavate trench E 30 3000 20 Prepare valve chambers C. G 20 2800 12 Layout joint pipes C. G 24 1000 10 Fit valves D. F. H 10 200 K Concrete anchors I 520 L Backfill J. K 6 420 M Finish valve chambers J. K 6 200 N Test pipeline J. K 6 150 Clean up site L. N 300 Leave site M. O 180Problem 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 R1 R3 R4 A 6 B 3 2 C ANNNUJOAW A 5 A, B C D A, B 5 G, H F AND U W N A N - C, E E, G, H I, K 2 F, L L J, M, N O D, O P. R WAWA A NN NAA Q 2 J N W N A O W N OO A O WO WO W U N W N Daily Resource Limits 8 12 17 15 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 RI and R2 at the same time with higher priority for RI (RI per unit cost is triple that of R2)