Problem 1 (20 points): You and your engineering team are responsible for designing a new se treatment plant for the city of Terre Haute. The following twelve objectives have been established fo consideration when designing the new treatment plant: construction cost, discharge water quality, public opinion, discharge location, architectural appearance, design planning fees, environmental impact, government bylaws, noise/smell operating costs, distance to sewage sources, and power requirements. Use a criteria tree to group the attributes into at least three but no more than five categories. Then establish relative weighting factors for each attribute and indicate the reasoning you used in developing those factors. a WE KE 0.50 Costs K K-0.10 ** 0.30, W K=0.40 w EOLO WE = Stakeholder Input KOS LK-0.35 w Treatment K-0.05 Sewerant 5 SON K=0.60 W K 0.15 w K.50 K 0.40 Plant Performance K0.40 KO 10 K 0.1 You are considering welding, adhesives, bolts, and rivets as four options for joining the components of a mechanical system. In the table below are the initial cost, the probabil ity of failure, and the cost of repairs if failure occurs for each option. Which option has the least expected cost? "1 Initial Cost ($) Probability of failure Repair Cost (S) 4500 0.100 Welding 13000 Adhesive 4200 0.080 11000 Bolts 6000 0.070 6000 Rivets 5500 0.120 8000 +