I need help solving any of these problems, please help :

- Weights 1. Consider a decision problem on buying a car. It has 3 attributes: reliability, gas mileage, and performance. Reliability is measured as mean time between failures in weeks, gas mileage in miles per gallon, and performance in horse power. We have elicited trade-offs between alternatives. The car buyer is indifferent between the following alternatives: A B Performance: 300 hp 240 hp Mileage: 15 mpg 21 mpg A B Performance: 280 hp 240 hp Reliability: 8 weeks 15 weeks The single dimensional value function for performance is exponential between 130 hp and 350 hp, with a midvalue of 200 hp. The single dimensional value function for mileage is linear between 12 mpg and 30 mpg. The single dimensional value function for reliability is linear between 6 and 24 weeks. Compute the weights for the attributes. Write down the complete value function. 2. Here is another problem that addresses a military problem. The Joint Staff is evaluating several force structure alternatives using a combat simulation model. They are interested in the ability of the force to fight and win in a large scale combat operation. The measures that they have decided to use (and that will be computed as output from the simulation model) are Probability of Victory, Number of Casualties (in number of people), and Time to Mission Accomplishment (in months). To evaluate the alternatives a value function must be constructed. For that purpose, the following information is given. The single dimensional value function for Probability of Victory is piecewise linear such that P[v] = 0 has zero value, P[v] = .5 has a value score of .25, and P[v] = 1 has a value of 1. It is linear in between. The single dimensional value function for Numbers of Casualties which range from a low of 250 to a high of 1500, is exponential with a midvalue at 500. The single dimensional value function for time to mission accomplishment which ranges between 2 months and 18 months is linear. The decision maker was elicited and identified the following alternatives between which she was indifferent: A B Time to Mission Accomplishment 6 months 12 months Casualties 700 350 A B Casualties 1000 800 Probability of Victory 95 .80 Compute the weights for the attributes. Write down the complete value function. 3. Compute the weights associated with 4, 5, and 6 attributes in SMARTER, and compute the weights for 4 attributes when attributes 2 and 3 are equal. 4. Compute the weights associated with 4, 5, and 6 attributes in the Rank Reciprocal method, and compute the weights for 4 attributes when attributes 2 and 3 are equal. 5. Compute the weights associated with 4, 5, and 6 attributes in the Rank Sum method, and compute the weights for 4 attributes when attributes 2 and 3 are equal