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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. PLANT Philadelphia Atlanta St. Louis Salt Lake City FROM/TO Philadelphia MAXIMUM CAPACITY ( 100,000 LBS.) 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. Atlanta St. Louis Salt Lake City Total Demand ( 1,000 lbs.) NYC $45 57 72 525 BIRMINGHAM $52 PROD. COST (PER 1,000 LBS.) $325.00 $275.00 $305.00 $250.00 60 71 415 TRANSPORT COSTS PER 1.000 LBS. DALLAS TERRE HAUTE $56 se 925 SPOKANE 578 65 325 SAN DIEGO 70 a. 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. PLANT Philadelphia Atlanta St. Louis Salt Lake City FROM/TO Philadelphia MAXIMUM CAPACITY ( 100,000 LBS.) 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. Atlanta St. Louis Salt Lake City Total Demand ( 1,000 lbs.) NYC $45 57 72 525 BIRMINGHAM $52 PROD. COST (PER 1,000 LBS.) $325.00 $275.00 $305.00 $250.00 60 71 415 TRANSPORT COSTS PER 1.000 LBS. DALLAS TERRE HAUTE $56 se 925 SPOKANE 578 65 325 SAN DIEGO 70 a. 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.
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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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. PLANT Philadelphia Atlanta St. Louis Salt Lake City MAXIMUM CAPACITY (x 100,000 LBS.) 7.5 9.0 12.0 10.3 FROM/TO Philadelphia Atlanta St. Louis Salt Lake City Total Demand (x 1,000 lbs.) 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. NYC $45 55 57 72 525 BIRMINGHAM $52 42 PROD. COST (PER 1,000 LBS.) $325.00 $275.00 $305.00 $250.00 60 71 415 TRANSPORT COSTS PER 1.000 LBS. TERRE HAUTE $56 58 50 67 925 DALLAS $62 59 54 57 688 SPOKANE $78 Check my work 80 65 52 325 SAN DIEGO $85 82 70 60 400 a. 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. PLANT Philadelphia Atlanta St. Louis Salt Lake City MAXIMUM CAPACITY (x 100,000 LBS.) 7.5 9.0 12.0 10.3 FROM/TO Philadelphia Atlanta St. Louis Salt Lake City Total Demand (x 1,000 lbs.) 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. NYC $45 55 57 72 525 BIRMINGHAM $52 42 PROD. COST (PER 1,000 LBS.) $325.00 $275.00 $305.00 $250.00 60 71 415 TRANSPORT COSTS PER 1.000 LBS. TERRE HAUTE $56 58 50 67 925 DALLAS $62 59 54 57 688 SPOKANE $78 Check my work 80 65 52 325 SAN DIEGO $85 82 70 60 400 a. 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.)
From/To Philadelphia Asanta St. Louis Salt Lake City From/To Philadelphia Afanta St. Louis Salt Lake City Received From/To Philadelphia Atlanta St. Louis Salt Lake City Total cost NYC NYC NYC 525 CombinedCosts Per 1,000 lbs. Birmingham Terre Haute Solution (* 1,000 lbs.) Birmingham Terre Haute 415 Birmingham Total Costs Terre Haute Dallas Dallas 600 Dallas Spokane Spokane 325 Spokane San Diego San Diego 400 San Diego $ 1,056,770
Transcribed Image Text:From/To Philadelphia Asanta St. Louis Salt Lake City From/To Philadelphia Afanta St. Louis Salt Lake City Received From/To Philadelphia Atlanta St. Louis Salt Lake City Total cost NYC NYC NYC 525 CombinedCosts Per 1,000 lbs. Birmingham Terre Haute Solution (* 1,000 lbs.) Birmingham Terre Haute 415 Birmingham Total Costs Terre Haute Dallas Dallas 600 Dallas Spokane Spokane 325 Spokane San Diego San Diego 400 San Diego $ 1,056,770
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