Practice Introduction to Linear Programming - 10.1 | 10. Linear Programming | ICSE Class 12 Mathematics
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10.1 - Introduction to Linear Programming

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the two main objectives in Linear Programming?

💡 Hint: Think of profit and cost.

Question 2

Easy

Name one component of a Linear Programming Problem.

💡 Hint: They all start with different letters.

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 does Linear Programming aim to do?

  • Maximize or minimize a non-linear function
  • Maximize or minimize a linear function
  • Only maximize costs
  • Only minimize resources

💡 Hint: Remember the definition of LP.

Question 2

True or False: Non-negativity restrictions allow decision variables to take negative values.

  • True
  • False

💡 Hint: Consider what the 'non-negativity' means.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A company must decide how many units of Product A and Product B to produce. Each unit of A takes 2 hours of labor and 3 units of material, while each unit of B takes 5 hours and 2 units of material. The company can only afford 100 hours of labor and 60 units of material. Formulate this as a linear programming problem and determine the feasible region.

💡 Hint: Draw the constraints on a graph to visualize the feasible area.

Question 2

Using a graphical method, how would you solve the problem previously described? Explain the steps for finding the optimum solution.

💡 Hint: Focus on the vertices of the shape formed by the constraints.

Challenge and get performance evaluation