Practice Introduction to Linear Programming - 8.1 | 8. LP Modeling: Production Planning | Design & Analysis of Algorithms - Vol 3
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Introduction to Linear Programming

8.1 - Introduction to Linear Programming

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is linear programming?

💡 Hint: Think about it as a mathematical strategy for best outcomes.

Question 2 Easy

List two components of a linear programming model.

💡 Hint: Remember the elements that help in defining the model.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does linear programming aim to optimize?

Profit
Cost
Both Profit and Cost

💡 Hint: Think about the dual goals of businesses.

Question 2

True or False: The Simplex method only works with integer constraints.

True
False

💡 Hint: Reflect on the nature of constraints of a linear program.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A company has a production capacity of 100 units per week and needs to meet a demand of 200 units. Formulate an LP model to determine the optimal number of employees needed to meet this demand while minimizing costs.

💡 Hint: Sketch a graph of constraints and feasible region for visual understanding.

Challenge 2 Hard

Compare the expected outcomes of not using linear programming in production planning. Discuss potential inefficiencies.

💡 Hint: Consider real-life scenarios where companies faced challenges due to mismanagement.

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Reference links

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