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 crash time (show your calculations for each of the steps) 2) What is the optimum cost-time duration? 3) The customer offers $10k for every month the project is shortened from its original network. Should the project manager take it? If so for how many months? (explain your answer) Act. Crash Maximum Crash Time Normal Normal Time Cost Cost (Slope) A SO 2 10 40 B. 30 3 8 10 40 1 5 SO D 50 2 11 50 E 100 4 15 100 F 30 1 6 20 $300 1 A D 10 11 Project duration 27 B TI 00 6 E Total direct cost $300 5 15