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 64.5, 128, and 38 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? sleeveless dozen short-sleeve dozen long-sleeve dozen
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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 64.5, 128, and 38 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?
| sleeveless | dozen |
| short-sleeve | dozen |
| long-sleeve | dozen |
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