# 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. SleevelessShort-SleeveLong-SleeveCutting  91215Sewing222428Packaging  6  8  8The cutting, sewing, and packaging departments have available a maximum of 84, 166, and 50 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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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 84, 166, and 50 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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Step 1

Let,

Number of sleeveless blouses manufactured per day (in dozen) = x

Number of short-sleeve blouses manufactured per day (in dozen) = y

Number of sleeveless blouses manufactured per day (in dozen) = z

Step 2

So, as per the information available in the question, we can write these equations

Step 3

We will use Cramers rule to solv...

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