Practice Three-Dimensional Geometrical Representation - 7.8 | 7. Linear Programming | Design & Analysis of Algorithms - Vol 3
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7.8 - Three-Dimensional Geometrical Representation

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define linear programming in your own words.

💡 Hint: Think about how businesses optimize profits.

Question 2

Easy

What is a feasible region in linear programming?

💡 Hint: Consider a geometric space that fits the conditions set by inequalities.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the main goal of linear programming?

  • To maximize or minimize a linear function
  • To solve equations
  • To define geometric shapes

💡 Hint: Consider what you aim to achieve in optimization problems.

Question 2

True or False: The feasible region is always a convex shape.

  • True
  • False

💡 Hint: Visualize two points inside the region connecting with a line.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

💡 Hint: Focus on defining constraints clearly for material usage.

Question 2

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?

💡 Hint: Think about resources as boundaries when planting.

Challenge and get performance evaluation