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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31 please help me please!A company has a factory that is designed so that it is most efficient (average unit cost is minimized) when producing 19,200 units output each month. However, it has an absolute maximum output capability of 23,000 units per month, and can produce as little 7,000 units per month without corporate headquarters shifting production to another plant. If the factory produces 13,280 units ir October, what is the capacity utilization rate in October for this factory? Note: Round your answer to 1 decimal place.
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In an eff ort to increase capacity in Work Center 111 forweek 13, Yankee Machine Shop has authorized overtime. Th ework center will be staff ed 12 hours per day for six days. Becauseof the additional stress on the three machines, it is expected thatthe utilization rate will drop to 85 percent. Th e effi ciency rate isexpected to fall to 80 percent.(a) Calculate the capacity available in Work Center 111 forweek 13.(b) Will this plan provide suffi cient capacity to completethe orders given in Problem 23? If not, what do yourecommend be done?
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15. AlFreej Book shop normally gets most of its customers from a 10 kilometer radius around MBD. It has low intestine of scale due to low volumes. It can solve this blem by?? a. exapnding size of the shop b. Adding online shopping option to its service OC. none of the above O d. opening more branches in other parts of Muscat
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