Problem 3 (20 points): The Project Manager for a house construction project has been asked to look at alternatives to reduce project duration. As shown on the project network hereunder, the normal project duration is 27 months, at a normal cost of $300k. Crash cost and time data are provided by the experts in the hereunder table. Indirect costs are $300k, and reduce by 45k for each month reduction in project duration. 1) Compute the direct, indirect and total costs for each project duration between normal time and the maximum time the project can be crashed. Show your calculations for each of the crash steps (what activity, at what direct, indirect and total costs) 2) What is the optimum cost-time duration? What's the project cost at this optimum cost- time duration? D 10 11 duration 27 B F 8 6 E Total direct cost $300 5 15 Activity Crash cost (slope) Normal Time Normal Cost A 10 MU OWL 80 30 40 50 100 30 Maximum (crashable) # of times 2 3 2 2 4 1 s urco a 5 11 15 6 40 10 80 50 100 20 300 E F Total