Question 351355
A dozen tank tops requires 1 hour on the cutting machine, 2 hours on the sewing machine, and 3 hours on the packaging machine.
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A dozen shortsleeve shirts requires 3 hours on the cutting machine, 5 hours on the sewing machine, and 5 hours on the packaging machine. 
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A dozen longsleeve shirts requires 6 hours on the cutting machine, 6 hours on the sewing machine, and 8 hours on the packaging machine. 
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In one week, the cutting machine has a maximum of 21 hours that can be dedicated to these shirts, the sewing machine has a maximum of 28 hours that can be dedicated to these shirts, and the packaging machine has a maximum of 35 hours that can be dedicated to these shirts.
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How many dozen of each shirt can this company produce in one
week assuming that the machines are used to maximum capacity?
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Cutting Equation: t + 3s + 6L = 21
Sewing Equation::2t + 5s + 6L = 28
Packag Equation::3t + 5p + 8L = 35
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Solve by any means you know:
I get:
t = 3 doz. (# of tank tops)
s = 2 doz. (# of short sleeve)
L = 2 doz. (# of long sleeve)
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Cheers,
Stan H.
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