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. Use Cramers ????, determine how many of each type of clothing should be made to use all available labour hours?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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.

Use Cramers ????, determine how many of each type of clothing should be made to use all available labour hours?

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