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 the inverse method (matrices), determine how many of each type of clothing should be made to use all available labour hours?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.1: Ratios And Rates
Problem 40E
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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 the inverse method (matrices), determine how many of each type of clothing should be made to use all available labour hours?

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