SOLUTION: A company produces three types of athletic shirt. A dozen tank tops requires
1 hour on the cutting machine, 2 hours on the sewing machine, and 3 hours
on the packaging machine. A
Algebra.Com
Question 351355: A company produces three types of athletic shirt. A dozen tank tops requires
1 hour on the cutting machine, 2 hours on the sewing machine, and 3 hours
on the packaging machine. A dozen shortsleeve
shirts requires 3 hours on
the cutting machine, 5 hours on the sewing machine, and 5 hours on the
packaging machine. A dozen longsleeve
shirts requires 6 hours on the
cutting machine, 6 hours on the sewing machine, and 8 hours on the
packaging machine. 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. How many dozen of each shirt can this company produce in one
week assuming that the machines are used to maximum capacity?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A dozen tank tops requires 1 hour on the cutting machine, 2 hours on the sewing machine, and 3 hours on the packaging machine.
---------------
A dozen shortsleeve shirts requires 3 hours on the cutting machine, 5 hours on the sewing machine, and 5 hours on the packaging machine.
---------------------------
A dozen longsleeve shirts requires 6 hours on the cutting machine, 6 hours on the sewing machine, and 8 hours on the packaging machine.
---------------------------
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.
------------------------------------------------------
How many dozen of each shirt can this company produce in one
week assuming that the machines are used to maximum capacity?
----------------------------
Cutting Equation: t + 3s + 6L = 21
Sewing Equation::2t + 5s + 6L = 28
Packag Equation::3t + 5p + 8L = 35
----------------------------------------
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)
===================
Cheers,
Stan H.
====================
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