Practice Maximization Problem - 10.6.1 | Chapter 10: Linear Programming | ICSE Class 12 Mathematics
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10.6.1 - Maximization Problem

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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of a Maximization Problem?

💡 Hint: Think about how businesses and organizations look to increase profits or outputs.

Question 2

Easy

Name one method used to solve maximization problems.

💡 Hint: Consider visual representation techniques.

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 goal of a maximization problem?

  • To minimize costs
  • To maximize an objective function
  • To find decision variables

💡 Hint: Think about objectives in business.

Question 2

True or False: Constraints play no role in addressing maximization problems.

  • True
  • False

💡 Hint: Consider what happens if we ignore limits.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A company produces two products, A and B, with profits of $5 and $3 per unit respectively. If they have constraints of at most 200 units of resource R and at most 150 units of resource S, how would you formulate the maximization problem?

💡 Hint: Define decision variables and form the objective function.

Question 2

Explain how you would graphically solve a maximization problem with the objective function Z = 4x + 6y, given constraints 2x + 3y ≤ 12 and x >= 0, y >= 0.

💡 Hint: Identify the points where the lines intersect as potential optimal solutions.

Challenge and get performance evaluation