Practice Feasible Region and Optimizing Profit - 7.4 | 7. Linear Programming | Design & Analysis of Algorithms - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define linear programming.

💡 Hint: Think about the purpose of this method in decision-making.

Question 2

Easy

What is a feasible region?

💡 Hint: Consider how constraints shape the area of possible solutions.

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 linear programming primarily used for?

  • Optimization
  • Statistics
  • Data Analysis

💡 Hint: Think about efficiency and resource allocation.

Question 2

The optimal solution to a linear programming problem is found at which location?

  • True
  • False

💡 Hint: Visualize the graph of constraints.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the constraints: x + 2y ≤ 8, x ≤ 4, y ≤ 5, find the feasible region and represent it graphically.

💡 Hint: Remember to plot each boundary line and find where the shaded areas overlap.

Question 2

Design a profit-maximizing strategy for a shop that sells three products A, B, and C using the constraints provided in the problem.

💡 Hint: Start with the profit function and ensure it reflects the contribution of all products while respecting resource limits.

Challenge and get performance evaluation