Question: 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

Consider a decision problem on buying a car. It
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. All are higher value is preferred. We have elicited trade-offs between alternatives. The car buyer is indifferent between the following alternatives: B1 240 hp Trade #1 - Indifferent between Performance: Mileage: Trade #2 - Indifferent between Performance: Reliability: 300 hp 15 mpg 21 mpg A2 280 hpp 8 weeks B2 240 hp 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. 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. All are higher value is preferred. We have elicited trade-offs between alternatives. The car buyer is indifferent between the following alternatives: B1 240 hp Trade #1 - Indifferent between Performance: Mileage: Trade #2 - Indifferent between Performance: Reliability: 300 hp 15 mpg 21 mpg A2 280 hpp 8 weeks B2 240 hp 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

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