Consider the following project. Normal Crashing Activity 1 st Crashing Activity 2nd Time Time Activ Predecessor Direct Duration Additional Duration Additional Duration ity Cost (Week) Direct Cost (Week) Direct Cost (Week) A $200,000 5 $10,000 4 $10,000 3 B A $50,000 6 $15,000 5 $15,000 4 C A $250,000 $5,000 3 $5,000 2 D A $100,000 5 $15,000 $15,000 3 E B $25,000 9 $15,000 8 $15,000 7 B. C $75,000 7 $7,500 $7,500 5 G C $125,000 6 $10,000 5 $10,000 4 H C, D $100,000 8 $15,000 7 $15,000 6 D $20,000 3 $10,000 2 $10,000 E, F, G $75,000 7 $2,500 6 $2,500 5 K F, G, H $50,000 4 $10,000 3 $10,000 2 L H, I $20,000 M K, L $25,000 2 $25,000 a) Develop the project cash flow and S-curve diagrams for the early and late start durations before any of the activities are crashed. For this part of the problem. You can use Excel to develop these curves, if you like. (33 points) b) Crash the project to the least possible duration. Make sure to record the total direct cost and duration for each iteration. (34 points) c) Assume the project overhead is 10% of the total direct cost. The owner wants the project to be completed in 24 weeks or less and will charge a penalty of $10,000 for each week of delay beyond 24 weeks. Determine the optimum project duration and total price. (33 points)