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Managing the Construction Project (15 points) The Tinker Construction Company is ready to begin a project that must be completed in 12 months. This project has four activities (A, B, C, D) with the following activity table. Activity Normal Crash Normal Crash Cost Immediate Time Time Cost Predecessor A 8 months 5 months $25,000 $40,000 B 9 months 7 months $20,000 $30,000 6 months 4 months $16,000 $24,000 A D 7 months 4 months $27,000 $45,000 B The project manager, Sean Murphy has concluded that he cannot meet the deadline by performing all these activities in the normal way. Therefore, he decided to crash the project activities. Use linear programing method to formulate the crashing problem. (6 points) Use marginal cost analysis to solve the problem. (6 points) For the new crashed project, what are the early start, early finish, late start and late finish times, and the total, free and interfering floats. (3 points)