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(Shapiro, 2001, Exercise 4.3, p. 165) Home Grocery is a new company that makes same-day deliveries of groceries to people's homes. The company is launching its business in Metropolis, a large urban area. The marketing department has identified eight neighborhoods in Metropolis where the company should concentrate its business. The logistics manager has identified six locations where the company may locate grocery depots. Table 2.8 shows the average time (in minutes) required to travel from each of the six potential depot locations to the center of each of the eight neighborhoods. It also shows the target population (in thousands) for the company's service in each neighborhood. The company wishes to locate two depots so that they maximize the population served within 12 min of average travel time. Formulate the problem as an IP model. BLE 2.8 Travel Times from Depots to Neighborhoods Depots ighborhoods 2 3 4 5 6. Population 15 17 27 25 22 12

(Shapiro, 2001, Exercise 4.3, p. 165) Home Grocery is a new company that makes same-day deliveries of groceries to people's homes. The company is launching its business in Metropolis, a large urban area. The marketing department has identified eight neighborhoods in Metropolis where the company should concentrate its business. The logistics manager has identified six locations where the company may locate grocery depots. Table 2.8 shows the average time (in minutes) required to travel from each of the six potential depot locations to the center of each of the eight neighborhoods. It also shows the target population (in thousands) for the company's service in each neighborhood. The company wishes to locate two depots so that they maximize the population served within 12 min of average travel time. Formulate the problem as an IP model. BLE 2.8 Travel Times from Depots to Neighborhoods Depots ighborhoods 2 3 4 5 6. Population 15 17 27 25 22 12

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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2.18 (Shapiro, 2001, Exercise 4.3, p. 165) Home Grocery is a new company that makes same-day deliveries of groceries to people's homes. The company is launching its business in Metropolis, a large urban area. The marketing department has identified eight neighborhoods in Metropolis where the company should concentrate its business. The logistics manager has identified six locations where the company may locate grocery depots. Table 2.8 shows the average time (in minutes) required to travel from each of the six potential depot locations to the center of each of the eight neighborhoods. It also shows the target population (in thousands) for the company's service in each neighborhood. The company wishes to locate two depots so that they maximize the population served within 12 min of average travel time. Formulate the problem as an IP model. TABLE 2.8 Travel Times from Depots to Neighborhoods Depots Neighborhoods 2 3 4 5 Population 1 15 17 27 5 25 22 12 10 12 24 4 22 20 8 5 6. 17 9 21 17 11 4 15 23 7 8. 13 10 14 5 14 12 6. 8. 22 6. 18 17 10 28 5 18 11 10 5 21 10 16 8 24 22 22 33 6. 16 20
Transcribed Image Text:2.18 (Shapiro, 2001, Exercise 4.3, p. 165) Home Grocery is a new company that makes same-day deliveries of groceries to people's homes. The company is launching its business in Metropolis, a large urban area. The marketing department has identified eight neighborhoods in Metropolis where the company should concentrate its business. The logistics manager has identified six locations where the company may locate grocery depots. Table 2.8 shows the average time (in minutes) required to travel from each of the six potential depot locations to the center of each of the eight neighborhoods. It also shows the target population (in thousands) for the company's service in each neighborhood. The company wishes to locate two depots so that they maximize the population served within 12 min of average travel time. Formulate the problem as an IP model. TABLE 2.8 Travel Times from Depots to Neighborhoods Depots Neighborhoods 2 3 4 5 Population 1 15 17 27 5 25 22 12 10 12 24 4 22 20 8 5 6. 17 9 21 17 11 4 15 23 7 8. 13 10 14 5 14 12 6. 8. 22 6. 18 17 10 28 5 18 11 10 5 21 10 16 8 24 22 22 33 6. 16 20
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