Practice Simplex Algorithm Overview - 7.5 | 7. Linear Programming | Design & Analysis of Algorithms - Vol 3
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7.5 - Simplex Algorithm Overview

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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 words.

💡 Hint: Think about the context of maximizing profits or minimizing costs.

Question 2

Easy

What happens at the vertices of the feasible region?

💡 Hint: Consider how the simplex algorithm operates.

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 purpose of the simplex algorithm?

  • To maximize profit
  • To minimize constraints
  • To optimize linear functions

💡 Hint: Revisit the definition of the simplex algorithm.

Question 2

True or False: A feasible region can be unbounded.

  • True
  • False

💡 Hint: Think about what happens when constraints allow for infinite possibilities.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a factory producing two products. Product A requires 2 hours of labor per unit, and Product B requires 3 hours. There are 100 hours available. Product A gives a profit of $4 per unit, while Product B gives $5. Formulate a linear programming problem.

💡 Hint: Identify variables and state the relationships using inequalities.

Question 2

Create a scenario where multiple constraints affect profit maximization in a linear programming problem with the potential for unbounded solutions.

💡 Hint: Think of variables that may affect delivery while considering a budget.

Challenge and get performance evaluation