Facility Location. A paper products manufacturer has enough capital to build and manage some additional manufacturing plants in the United States in order to meet increased demand in three cities: New York City, NY; Los Angeles, CA; and Topeka, KS. The company is considering building in Denver, CO; Seattle, WA; and St. Louis, MO. Max Operating Capacity 400 tons/day 700 tons/day Denver Seattle $10/ton $17/tor $11/ton.. $5/ton $18/ton....... $28/ton Los Angeles Topeka New York City Figure 1: Graphical representation of the given data Unmet Demand 300 tons/day 100 tons/day 500 tons/day • Due to geographic constraints, plants in Denver and Seattle would have a maximum operating capacity k; of 400 tons/day and 700 tons/day respectively. The cost fi of building plants in these cities is fi = $5,000,000 in Denver and f2 $10,000,000 in Seattle. = • The cost cij per ton of transporting paper from city i to city j is outlined in Figure 1. • The unmet demand d; for Los Angeles, Topeka, and New York City are 300 tons/day, 100 tons/day, and 500 tons/day, respectivey. The problem is to decide which plants to build, how much paper to produce in each plant, and how best to ship paper from the plants to the customers in the way which minimizes total expense.
Facility Location. A paper products manufacturer has enough capital to build and manage some additional manufacturing plants in the United States in order to meet increased demand in three cities: New York City, NY; Los Angeles, CA; and Topeka, KS. The company is considering building in Denver, CO; Seattle, WA; and St. Louis, MO. Max Operating Capacity 400 tons/day 700 tons/day Denver Seattle $10/ton $17/tor $11/ton.. $5/ton $18/ton....... $28/ton Los Angeles Topeka New York City Figure 1: Graphical representation of the given data Unmet Demand 300 tons/day 100 tons/day 500 tons/day • Due to geographic constraints, plants in Denver and Seattle would have a maximum operating capacity k; of 400 tons/day and 700 tons/day respectively. The cost fi of building plants in these cities is fi = $5,000,000 in Denver and f2 $10,000,000 in Seattle. = • The cost cij per ton of transporting paper from city i to city j is outlined in Figure 1. • The unmet demand d; for Los Angeles, Topeka, and New York City are 300 tons/day, 100 tons/day, and 500 tons/day, respectivey. The problem is to decide which plants to build, how much paper to produce in each plant, and how best to ship paper from the plants to the customers in the way which minimizes total expense.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 18P
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