Practice Formulate the Problem - 10.5.1 | Chapter 10: Linear Programming | ICSE Class 12 Mathematics
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10.5.1 - Formulate the Problem

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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define decision variables in the context of an LPP.

💡 Hint: Think about what choices you can control in the problem.

Question 2

Easy

What is the objective function?

💡 Hint: Recall it’s set up to achieve as much profit or as little cost as possible.

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 do decision variables represent in LPP?

  • A fixed value
  • Known quantities
  • Variables we solve for

💡 Hint: Think about what aspects of the problem are controllable.

Question 2

The objective function must always be a:

  • True
  • False

💡 Hint: Consider the linear relationship aspect.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A company produces two types of bicycles, A and B. Type A requires 1 hour of assembly and 2 hours of painting, while Type B requires 2 hours of both. If the company has 120 hours available for each task and wants to maximize profit from A ($40 each) and B ($30 each), formulate the LPP including decision variables, the objective function, and constraints.

💡 Hint: Analyze the time required for each task.

Question 2

A farmer has 200 acres of land to plant corn and wheat. Each acre of corn requires 1 hour of work, and each acre of wheat requires 2 hours. The farmer has 280 hours of labor available and wants to maximize revenue—corn sells for $300/acre and wheat for $400/acre. Formulate the LPP.

💡 Hint: Allocate labor hours against crop land limits.

Challenge and get performance evaluation