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 ??????? ?????? ?? ??? ?ramers ????, determine how many of each type of clothing should be made to use all available labour hours?
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 ??????? ?????? ?? ???
?ramers ????, determine how many of each type of clothing should be made
to use all available labour hours?
Let the clothing manufacturer has to make x trousers, y skirts and, z blouses.
So total cutting time: 20x+15y+10z=115(60)=6900
Total sewing time: 60x+30y+24z=280(60)=16800
Total packaging time: 5x+12y+6z=65(60)=3900
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