6. You are managing a critical project. The project's planned duration is 11 months. The board of directors asked you to generate a schedule of alternative shorter durations and their associated cost increases. Here is an AON diagram and table for the project: Normal Marginal cost B duration to crash 1 Task (months) month A UI N $1,200 4 $500 $300 WN W T m O $1,000 Tasks A and F cannot be crashed. Each of the other tasks can be crashed by exactly one month or not at all (i.e., they cannot be crashed by a fraction of a month or by more than one month). (a) [2] Can the project duration be reduced to 10 months? If not, explain why. Otherwise, which set of activities would you recommend crashing to minimize the cost increase and why? What would be the cost increase? (b) [2] Can the project duration be reduced to 9 months? If not, explain why. Otherwise, which set of activities would you recommend crashing to minimize the cost increase and why? What would be the cost increase (relative to the original 11-month duration project)? (c) [1] Can the project duration be reduced to 8 months? If not, explain why. Otherwise, which set of activities would you recommend crashing to minimize the cost increase