A juice company has its products canned apple and bottled juice with profit margin Rs 4 and Rs 2 respectively per unit.
The following table shows the labour, equipment, and ingredients to produce each product per unit.
| Canned Apple | Bottled Juice | Total |
| Labour | 2 | 3 | 12 |
| Equipment | 3.2 | 1 | 8 |
| Ingredients | 2.4 | 2 | 9 |
Formulate the linear programming model
Solution:
Decision variables
Here products canned apple and bottled juice are competing variables and labour, equipment, and ingredients to produce each product per unit are available resources.
Let x1 and x2 denotes number of unit of canned apple and bottled juice respectively
The LP Model
Maximize Z = 4x1 + 2x2
Subject to
2x1 + 3x2 ≤ 12
3.2x1 + x2 ≤ 8
2.4x1 + 2x2 ≤ 9
and x1, x2 ≥ 0
This material is intended as a summary. Use your textbook for detail explanation.
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