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Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used as a raw material by manufacturers of plastic goods around the U.S. SP currently operates four manufacturing centers in Philadelphia, PA; Atlanta, GA; St. Louis, MO; and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. MAXIMUM CAPACITY PROD. COST (x 100,000 LBS.) (PER 1,000 LBS.) 7.5 9.0 12.4 10.4 PLANT Philadelphia Atlanta St. Louis Salt Lake City SP currently has six contract customers located in New York City; Birmingham, AL; Terre Haute, IN; Dallas, TX; Spokane, WA; and San Diego, CA. Transportation costs between the plants and various customers, as well as contracted demand from each customer, are shown in the table below. $337.00 $287.00 $317.00 $262.00 TRANSPORT COSTS PER 1,000 LBS. FROM/TO NYC BIRMINGHAMTERRE HAUTEDALLASSPOKANESAN DIEGO Philadelphia $50 Atlanta 60 St. Louis 62 Salt Lake City 77 Total Demand, (* 1,000 lbs.) 537 $57 47 65 76 426 $61 63 55 72 937 $67 64 59 62 603 $61 63 48 41 337 $96 93 81 71 412 Create a solver model and find the optimal solution to help SP develop a distribution plan that will minimize costs to supply the customers' demand. (Enter your answers in terms of cost per 1,000 lbs and shipment quantities per 1,000 lbs. Round your answers to the nearest whole number.)

Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used as a raw material by manufacturers of plastic goods around the U.S. SP currently operates four manufacturing centers in Philadelphia, PA; Atlanta, GA; St. Louis, MO; and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. MAXIMUM CAPACITY PROD. COST (x 100,000 LBS.) (PER 1,000 LBS.) 7.5 9.0 12.4 10.4 PLANT Philadelphia Atlanta St. Louis Salt Lake City SP currently has six contract customers located in New York City; Birmingham, AL; Terre Haute, IN; Dallas, TX; Spokane, WA; and San Diego, CA. Transportation costs between the plants and various customers, as well as contracted demand from each customer, are shown in the table below. $337.00 $287.00 $317.00 $262.00 TRANSPORT COSTS PER 1,000 LBS. FROM/TO NYC BIRMINGHAMTERRE HAUTEDALLASSPOKANESAN DIEGO Philadelphia $50 Atlanta 60 St. Louis 62 Salt Lake City 77 Total Demand, (* 1,000 lbs.) 537 $57 47 65 76 426 $61 63 55 72 937 $67 64 59 62 603 $61 63 48 41 337 $96 93 81 71 412 Create a solver model and find the optimal solution to help SP develop a distribution plan that will minimize costs to supply the customers' demand. (Enter your answers in terms of cost per 1,000 lbs and shipment quantities per 1,000 lbs. Round your answers to the nearest whole number.)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used as a raw material by manufacturers of plastic goods around the U.S. SP currently operates four manufacturing centers in Philadelphia, PA; Atlanta, GA; St. Louis, MO; and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. MAXIMUM CAPACITY PROD. COST (x 100,000 LBS.) (PER 1,000 LBS.) 7.5 9.0 PLANT Philadelphia Atlanta St. Louis Salt Lake City 12.4 10.4 SP currently has six contract customers located in New York City; Birmingham, AL; Terre Haute, IN; Dallas, TX; Spokane, WA; and San Diego, CA. Transportation costs between the plants and various customers, as well as contracted demand from each customer, are shown in the table below. 537 TRANSPORT COSTS PER 1,000 LBS. FROM/TO NYC BIRMINGHAMTERRE HAUTEDALLASSPOKANESAN DIEGO Philadelphia $50 Atlanta 60 St. Louis 62 Salt Lake City 77 Total Demand (x 1,000 lbs.) $337.00 $287.00 $317.00 $262.00 $57 47 65 76 426 $61 63 55 72 937 $67 64 59 62 603 $61 63 48 41 337 $96 93 81 71 412 Create a solver model and find the optimal solution to help SP develop a distribution plan that will minimize costs to supply the customers' demand. (Enter your answers in terms of cost per 1,000 lbs and shipment quantities per 1,000 lbs. Round your answers to the nearest whole number.)
Transcribed Image Text:Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used as a raw material by manufacturers of plastic goods around the U.S. SP currently operates four manufacturing centers in Philadelphia, PA; Atlanta, GA; St. Louis, MO; and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. MAXIMUM CAPACITY PROD. COST (x 100,000 LBS.) (PER 1,000 LBS.) 7.5 9.0 PLANT Philadelphia Atlanta St. Louis Salt Lake City 12.4 10.4 SP currently has six contract customers located in New York City; Birmingham, AL; Terre Haute, IN; Dallas, TX; Spokane, WA; and San Diego, CA. Transportation costs between the plants and various customers, as well as contracted demand from each customer, are shown in the table below. 537 TRANSPORT COSTS PER 1,000 LBS. FROM/TO NYC BIRMINGHAMTERRE HAUTEDALLASSPOKANESAN DIEGO Philadelphia $50 Atlanta 60 St. Louis 62 Salt Lake City 77 Total Demand (x 1,000 lbs.) $337.00 $287.00 $317.00 $262.00 $57 47 65 76 426 $61 63 55 72 937 $67 64 59 62 603 $61 63 48 41 337 $96 93 81 71 412 Create a solver model and find the optimal solution to help SP develop a distribution plan that will minimize costs to supply the customers' demand. (Enter your answers in terms of cost per 1,000 lbs and shipment quantities per 1,000 lbs. Round your answers to the nearest whole number.)
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