Practice Methods to Solve Linear Programming Problems - 10.4 | Chapter 10: Linear Programming | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the primary purpose of the Graphical Method in linear programming?

πŸ’‘ Hint: Think about how we can visually represent constraints.

Question 2

Easy

What does the Simplex Method primarily solve for?

πŸ’‘ Hint: Consider how complexity increases with more variables.

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 method would be best to solve a linear programming problem with three decision variables?

  • Graphical Method
  • Simplex Method
  • Dual Simplex Method

πŸ’‘ Hint: Think about which method handles complexity best.

Question 2

True or False: The optimal solution of a linear programming problem can occur anywhere within the feasible region.

  • True
  • False

πŸ’‘ Hint: Remember the vertex theorem in linear programming.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a real-world scenario for a linear programming problem that maximizes profit based on given constraints. Formulate it, graph it, and determine the optimal solution.

πŸ’‘ Hint: Link your case scenario to something tangible.

Question 2

Using a set of constraints, set up a problem that would require the Dual Simplex Method to solve, explaining why the primal is infeasible.

πŸ’‘ Hint: Consider how changes in resources can impact feasibility.

Challenge and get performance evaluation