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The department of engineering at a university in New Jersey must assign six faculty members to their new offices. The following closeness matrix indicates the expected number of contacts per day between professors. The available office spaces (1-6) for the six faculty members are shown in Figure K.12. Assume equal-sized offices. The distance between Offices 1 and 2 (and between offices 1 and 3) is 1 unit, whereas the distance between offices 1 and 4 is 2 units. Professor A B C D E F a. CLOSENESS MATRIX Contacts Between Professors ABCDE 4 1 3 - 5 2 4 12 N N 6 2 a. Because of their academic positions, Professor A must be assigned to office 1, Professor C must be assigned to office 2, and Professor D must be assigned to office 6. Which faculty members should be assigned to offices 3, 4, and 5, respectively, to minimize the total weighted-distance score? b. What is the weighted-distance score of your solution? 7 1 F 10 4 T

The department of engineering at a university in New Jersey must assign six faculty members to their new offices. The following closeness matrix indicates the expected number of contacts per day between professors. The available office spaces (1-6) for the six faculty members are shown in Figure K.12. Assume equal-sized offices. The distance between Offices 1 and 2 (and between offices 1 and 3) is 1 unit, whereas the distance between offices 1 and 4 is 2 units. Professor A B C D E F a. CLOSENESS MATRIX Contacts Between Professors ABCDE 4 1 3 - 5 2 4 12 N N 6 2 a. Because of their academic positions, Professor A must be assigned to office 1, Professor C must be assigned to office 2, and Professor D must be assigned to office 6. Which faculty members should be assigned to offices 3, 4, and 5, respectively, to minimize the total weighted-distance score? b. What is the weighted-distance score of your solution? 7 1 F 10 4 T

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The department of engineering at a university in New Jersey must assign six faculty members to their new offices. The following closeness matrix indicates the expected number of contacts per day between professors. The available office spaces (1-6) for the six faculty members are shown in Figure K.12. Assume equal-sized offices. The distance between Offices 1 and 2 (and between offices 1 and 3) is 1 unit, whereas the distance between offices 1 and 4 is 2 units. Professor A B C D E F a. CLOSENESS MATRIX Contacts Between Professors A B C D E F 1 3 T 5 4. T 2 a. Because of their academic positions, Professor A must be assigned to office 1, Professor C must be assigned to office 2, and Professor D must be assigned to office 6. Which faculty members should be assigned to offices 3, 4, and 5, respectively, to minimize the total weighted-distance score? b. What is the weighted-distance score of your solution? 4 12 2 6 T 7 T 10 4
Transcribed Image Text:The department of engineering at a university in New Jersey must assign six faculty members to their new offices. The following closeness matrix indicates the expected number of contacts per day between professors. The available office spaces (1-6) for the six faculty members are shown in Figure K.12. Assume equal-sized offices. The distance between Offices 1 and 2 (and between offices 1 and 3) is 1 unit, whereas the distance between offices 1 and 4 is 2 units. Professor A B C D E F a. CLOSENESS MATRIX Contacts Between Professors A B C D E F 1 3 T 5 4. T 2 a. Because of their academic positions, Professor A must be assigned to office 1, Professor C must be assigned to office 2, and Professor D must be assigned to office 6. Which faculty members should be assigned to offices 3, 4, and 5, respectively, to minimize the total weighted-distance score? b. What is the weighted-distance score of your solution? 4 12 2 6 T 7 T 10 4
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