A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires
20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging
time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and
12 minutes of packaging time. Each blouse requires 10 minutes of cutting time,
24 minutes of sewing time and 6 minutes of packaging time.
The amount of time available for cutting, sewing and packaging is 115 hours,
280 hours and 65 hours respectively. Using either the Inverse Method or the
Cramer's Rule, determine how many of each type of clothing should be made
to use all available labour hours?
Transcribed Image Text:A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours?
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