Question 1201129
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Formulate a system of equations for the situation below and solve.
A manufacturer of women's blouses makes three types of blouses: sleeveless, short-sleeve, 
and long-sleeve. The time (in minutes) required by each department 
to produce a dozen blouses of each type is shown in the following table.
          Sleeveless  Short-Sleeve  Long Sleeve
Cutting       9           12            15
Sewing       22           24            28
Packaging     6            8             8
The cutting, sewing, and packaging departments have available a maximum 
of 73.5, 150, and 44 labor-hours, respectively, per day. 
How many dozens of each type of blouse can be produced each day if the plant is operated at full capacity?
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<pre>
Let x be the number of sleeveless   blouses (dozen);
    y be the number of short-sleeve blouses (dozen);
    z be the number of long-sleeve  blouses (dozen).


Write equations as you read the problem

    9x + 12y + 15z = 73.5*60 = 4410  minutes
   22x + 24y + 28z = 150*60  = 9000  minutes
    6x +  8y +  8z =  44*60  = 2640  minutes.



    Use the matrix equations solver in your calculator   
    and get the  {{{highlight(highlight(ANSWER))}}}  in the next instance 


      x= 120 dozen;  y= 90 dozen;  z= 150 dozen.
</pre>

Solved.