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4. Management Decision Systems (MDS) is a consulting company specializing in the development of decision support systems. MDS has just obtained the contract to develop a computer system to assist the management of a large company in formulating its capital expenditure plan. The project leader has developed the following list of activities and immediate predecessors. Immediate Predecessor Normal Time Crash Time Total Normal Cost ($ in thousands) Total Crash Cost (3 in thousands) P 3) Draw the project network diagram. ' b) Find the normal completion schedule for this project. c) The project needs to be completed within 1'/2 years; do you anticipate difculty in meeting this deadline? Explain your answer. d) If the project needs to be completed in 12 months, what activities should be crashed, what is the crashing cost, and what are the critical activities? Show your work, including the crash cost per month for all activities and all iterations of the project crashing algorithm