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Linear programming worksheet with two feasible regions and corresponding objective functions.

Two graphs showing feasible regions for linear programming problems, with shaded areas and labeled vertices, used to find maximum and minimum values of objective functions.

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Show Answer Key & Explanations Step-by-step solution for: Worksheet 3.2 - Linear Programming | PDF | Linear Programming ...

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1. For z = 3x + 2y:
- Maximum: 34 at (8, 5)
- Minimum: 10 at (0, 5)

2. For z = x - 4y:
- Maximum: 8 at (8, 0)
- Minimum: -20 at (0, 5)

3. For z = 0.35x + 1.25y:
- Maximum: 19.75 at (5, 16)
- Minimum: 0 at (0, 0)

4. For z = 1.5x - 0.5y:
- Maximum: 10 at (10, 0)
- Minimum: -8 at (0, 16)

Parent Tip: Review the logic above to help your child master the concept of optimization with linear programming worksheet.

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