Practice Linear Programming - 7 | 7. Linear Programming | Design & Analysis of Algorithms - Vol 3
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Linear Programming

7 - Linear Programming

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the objective function in a linear programming problem?

💡 Hint: Think about what we are trying to achieve in the problem.

Question 2 Easy

What are constraints in linear programming?

💡 Hint: Consider the limits placed on resources in a problem.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary goal of linear programming?

To solve equations
To maximize or minimize a function
To calculate averages

💡 Hint: Think about optimization.

Question 2

True or False: The feasible region in linear programming can never be empty.

True
False

💡 Hint: Recall situations where constraints might conflict.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a linear programming model for a factory producing two types of toys with varying profit margins and material constraints. Identify the feasible region graphically.

💡 Hint: Dive into the limitation and profit margin for each toy.

Challenge 2 Hard

Using the graphical method, resolve the following linear programming problem: Maximize Z = 3x + 4y, subject to x + 2y ≤ 8 and 3x + y ≤ 8.

💡 Hint: The intersection of constraints will help you find the vertex points.

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