Several class groups tried to develop their management plan incorporating Strategic Management requirements but failed. Your Project Management professor believes that there is a big demand in this market of Inland Family Resort because existing products or services have not fully catered to the needs. The project, then, is to design, develop, and produce a prototype of this product. In the rapidly changing resort industry, it is crucial to hit the market with a product of this sort in less than a year. Therefore, your project team has been allowed approximately 35 weeks to produce the prototype. The table below shows the supposed overarching activities of the team, time estimates, and corresponding costs. Problem 1 Table 1. Activity Expected Times and Crash Cost Information TIME ESTIMATES Activity Designation ACTIVITY Preceding Activities Required Time (Weeks) COST (Pesos) a m B Normal Crash Normal Crash A Design 10 22 28 21 19 10,000 11,000 Build B A 4 4 10 5 3 6,000 9,000 Prototype Evaluate A 4 6 14 7 6 4,000 6,000 Equipment Test D B 1 2 3 2 1 14,000 18,000 Prototype Write E C, D 1 5 9 5 4 9,000 9,000 Report Write F Methods C, D 7 8 9 8 6 7,000 8,000 Report Write Final G E, F 2 2 2 2 0 13,000 15,000 Report c) What are the critical paths? Duration? Show your Chart * Add file d) To shorten the project by two weeks, which tasks would be shortened and what would the final project cost be?