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.
The first column below is for sleeveless. The second is short sleeve. The third column is 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 79.5, 162, and 48 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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