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A shoe company forecasts the following demands during the next six months: month 1-200; month 2-260; month 3-240; month 4-340; month 5-190; month 6-150. It costs $7 to produce a pair of shoes with regular-time labor (RT) and $11 with overtime labor (OT). During each month, regular production is limited to 200 pairs of shoes, and overtime production is limited to 100 pairs. It costs $1 per month to hold a pair of shoes in inventory. a) Formulate a balanced transportation problem by stating the rules. b) Minimize the total cost of meeting the next six months of demand on time by using different methods available and compare the results.

A shoe company forecasts the following demands during the next six months: month 1-200; month 2-260; month 3-240; month 4-340; month 5-190; month 6-150. It costs $7 to produce a pair of shoes with regular-time labor (RT) and $11 with overtime labor (OT). During each month, regular production is limited to 200 pairs of shoes, and overtime production is limited to 100 pairs. It costs $1 per month to hold a pair of shoes in inventory. a) Formulate a balanced transportation problem by stating the rules. b) Minimize the total cost of meeting the next six months of demand on time by using different methods available and compare the results.

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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Question A shoe company forecasts the following demands during the next six months: month 1-2003B month 2-260; month 3-240; month 4-340; month 5-190; month 6-150. It costs $7 to produce a pair of shoes with regular-time labor (RT) and $11 with overtime labor (OT). During each month, regular production is limited to 200 pairs of shoes, and overtime production is limited to 100 pairs. It costs $1 per month to hold a pair of shoes in inventory. a) Formulate a balanced transportation problem by stating the rules. b) Minimize the total cost of meeting the next six months of demand on time by using different methods available and compare the results. W
Transcribed Image Text:Question A shoe company forecasts the following demands during the next six months: month 1-2003B month 2-260; month 3-240; month 4-340; month 5-190; month 6-150. It costs $7 to produce a pair of shoes with regular-time labor (RT) and $11 with overtime labor (OT). During each month, regular production is limited to 200 pairs of shoes, and overtime production is limited to 100 pairs. It costs $1 per month to hold a pair of shoes in inventory. a) Formulate a balanced transportation problem by stating the rules. b) Minimize the total cost of meeting the next six months of demand on time by using different methods available and compare the results. W
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