Practice Three-dimensional Geometrical Representation (7.8) - Linear Programming

Practice: Three-Dimensional Geometrical Representation

Lesson 7.8Linear Programming

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define linear programming in your own words.
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Think about how businesses optimize profits.
Question 2.
What is a feasible region in linear programming?
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Consider a geometric space that fits the conditions set by inequalities.
3Question 3.
What is the main goal of linear programming?
- To maximize or minimize a linear function
- To solve equations
- To define geometric shapes
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Consider what you aim to achieve in optimization problems.
4Question 4.
True or False: The feasible region is always a convex shape.
- True
- False
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Visualize two points inside the region connecting with a line.
Question 5.
A company produces three types of gadgets, A, B, and C, with profits of 50, 100, and 200 respectively. Each type has its production limits and constraints. Form the linear programming model and identify your optimal production strategy.
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Focus on defining constraints clearly for material usage.
Question 6.
A farmer has three types of crops with limited land and resources. Describe how to represent this scenario through a three-dimensional model. What optimization problems could arise?
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Think about resources as boundaries when planting.

5 more questions in this section. Enroll free to practise them all.