A manufacturer of women's blouses makes three types of blouses: sleeveless, shortsleeve, and longsleeve. 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 84, 166, and 50 laborhours, respectively, per day. How many dozens of each type of blouse can be produced each day if the plant is operated at full capacity?
Let,
Number of sleeveless blouses manufactured per day (in dozen) = x
Number of shortsleeve blouses manufactured per day (in dozen) = y
Number of sleeveless blouses manufactured per day (in dozen) = z
So, as per the information available in the question, we can write these equations
We will use Cramers rule to solv...
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