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In multiple attribute analysis, if three different al- temnatives are to be evaluated on the basis of eight attributes that are considered of equal importance, what is the weight of each attribute? A consulting engineer asked a company manager to assign importance values (0 to 100) to five attri- butes that will be included in an alternative evalua tion process. Determine the weight of each attribute using the importance scores. Attribute Importance Score 1. Safety 60 2. Cost 40 3. Impact 80 4. Environmental 30 5. Acceptability 20 Ten attributes were rank-ordered in terms of in- creasing importance and were identified as A, B, C, . . ., and J. Determine the weight of (a) attri- bute C and (b) attribute J.In 2010, Brazil began construction of the Belo Monte hydroelectric dam on the Xingu River (which feeds the Amazon River). The project is funded by a consortium of investors and is ex- pected to cost $11 billion. It will begin producing electricity in 2015. Even though the dam will pro- vide clean energy for millions of people, environ- mentalists are sharply opposed. They say it will devastate wildlife and the livelihoods of 40,000 people who live in the area to be flooded. Assume that the funding will occur evenly over the 5-year period from 2010 through 2014 at $2.2 billion per year. The disbenefits are estimated to be $100,000 for each displaced person and $1 billion for wildlife destruction. Assume that the disbenefits will occur evenly through the 5-year construction period and anticipated benefits will begin at the end of 2015 and continue indefinitely. Use an interest rate of 8% per year to determine what the equivalent annual benefits must be to en- sure a B/C ratio of at least 1.0. In the United States, the average number of air- planes in the sky on an average morning is 4000. There are another 16,000 planes on the ground. Acrospace company Rockwell Collins developed what it calls a digital parachute-a panic-button technology that will land any plane in a pinch at the closest airport, no matter what the weather or geography and without the help of a pilot. The technology can be applied if a pilot is no longer capable of flying the plane or is panicked and con- fused about what to do in an emergency. Assume that the cost of retrofitting 20,000 commercial air-WILL THE CORRECT ESL PLEASE STAND? Background Based on previous logbook data, the current estimates for number of operating hours per year are as follows: New pumper system equipment is under consideration by a Gulf Coast chemical processing plant. One crucial pump Year Hours per Year moves highly corrosive liquids from specially lined tanks on 500 intercoastal barges into storage and preliminary refining fa- 1500 cilities dockside. Because of the variable quality of the raw Q on 2000 chemical and the high pressures imposed on the pump chassis and impellers, a close log is maintained on the number of Case Study Questions hours per year that the pump operates. Safety records and pump component deterioration are considered critical control 1. Determine the economic service life of the pump. How points for this system. As currently planned, rebuild and does the ESL compare with the maximum allowed M&O cost estimates are increased accordingly when cumula- rebuilds? tive operating time reaches the 6000-hour mark. 2. The plant superintendent told you, the safety engineer, that only one rebuild should be planned for, because Information these types of pumps usually have their minimum-cost life before the second rebuild. Determine a market You are the safety engineer at the plant. Estimates made for value for this pump that will force the ESL to be 6 years. this pump are as follows: Comment on the practicality of ESL = 6 years, given First cost: $-800,000 the MV calculated. Rebuild cost: $-150,000 whenever 6000 cu- 3. In a separate conversation, the line manager told you mulative hours are logged. Each to not plan for a rebuild after 6000 hours, because rework will cost 20% more than the pump will be replaced after a total of 10,000 the previous one. A maximum of hours of operation. The line manager wants to know 3 rebuilds is allowed what the base AOC in year I can be to make the ESL 6 years. He also told you to assume now that the 15% M&O costs: $-25,000 for each year 1 through 4 growth rate applies from year I forward. How does $-40,000 per year starting the this base AOC value compare with the rebuild cost year after the first rebuild, plus after 6000 hours? 15% per year thereafter tat do you think of these suggestions from the plant MARK: 10% per year superintendent and the line manager?Suppose a certain type of small data processing firm is so specialized that some have difficulty making a profit in their first year of operation. The probability density function that characterizes the proportion Y that make a profit is given by 1(y) = [ky' (1 - y). OSys1, elsewhere. (a) What is the value of k that renders the above a valid density function? (b) Find the probability that at most 50% of the firms make a profit in the first year. (c) Find the probability that at least 80% of the firms make a profit in the first year.\f\fA study of the effects of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to fall asleep. These data are obtained: Smokers: 69.3 56.0 22.1 47.6 53.2 48.1 52.7 34.4 60.2 43.8 23.2 13.8 Nonsmokers: 28.6 25.1 26.4 34.9 29.8 28.4 38.5 30.2 30.6 31.8 41.6 21.1 36.0 37.9 13.9 (a) Find the sample mean for each group. (b) Find the sample standard deviation for each group. (c) Make a dot plot of the data sets A and B on the same line. (d) Comment on what kind of impact smoking appears to have on the time required to fall asleep