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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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