9. In Example 12.12, the city\'s goal is reset to the minimum project cost is $2
ID: 1713726 • Letter: 9
Question
9. In Example 12.12, the city's goal is reset to the minimum project cost is $2M, at least 8000 people should be served, and the minimum land to be lost is 120 acres. Use the goal programming method to identify the best alternative Example 12.12 Consider a problem setting where the City of Megapolis is planning a long-distance transit service connecting suburban areas to downtown Megapolis. Four alternative projects (alternatives) are being evaluated. The city's goal is to have a maximum project cost of S3M, to serve at least 6000 people, and land used should not exceed 150 acres. The extent to which each alternative achieves the decision criteria are shown in Table 12.18. The scaled values of the decision criteria for each alternative are shown in each cell of the second, third, and fourth rows. The amalgamated values of these scaled values are shown in the fifth row Table 12.18 Goal Distance Amalgamation Results Alternative A Alternative B Alternative C Alternative D Cost (SM) Pop. served (1000s) Land lost (acres in 100s) Distance from Goal 45-3=1.5 21-6 =-3.9 1.7-1.5=0.2 3.1-3=0.1 1.9-6=-4.1 2.3-1.5=0.8 66-3=3.6 5.5-6=-0.5 2.9-1.5=1.4 52-3 = 2.2 4.1-6=-1.9 2.7-1.5=1.2 +0.22)05 +0.82)05 = 4.1 78 +1.22)05 = 3.14 +1.42)05 =4.18 = 3.89 Solution From the results (Table 12.18). D is the least distant from the goal and thus is the most superior.Explanation / Answer
From the results( Table 12.18) D is least distant from goal thus most superior, but cost of project should be under 2M$ thus option B will be preferred for this case
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