Practice Steps to Solve Linear Programming Problems - 10.5 | 10. Linear Programming | ICSE Class 12 Mathematics
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10.5 - Steps to Solve Linear Programming Problems

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are decision variables in linear programming?

💡 Hint: Think about what you need to determine.

Question 2

Easy

What is the objective function?

💡 Hint: It's your goal in the problem.

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 primary goal of linear programming?

  • A) To find the optimal solution for a problem.
  • B) To create complex equations.
  • C) To eliminate variables.

💡 Hint: Think about what we do with the objective function.

Question 2

True or False: The feasible region is where no constraints are satisfied.

  • True
  • False

💡 Hint: Recall what feasible means in this context.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A company produces two products (P1 and P2) with profit margins of $20 and $30, respectively. If the production of P1 takes 2 hours and P2 takes 3 hours, and the total available hours are 100, formulate the problem and state the constraints. Solve for the optimal production mix.

💡 Hint: Start by identifying your decision variables, then formulate your objective function and constraints.

Question 2

An airline needs to decide how many flights to run for two routes: A and B. Each flight for route A costs $1000 and generates $3000, while route B costs $2000 and generates $5000. If the maximum cost allowed for the day is $10,000, determine the optimal number of flights to maximize revenue.

💡 Hint: Focus on establishing a clear objective function and ensuring all constraints fit within your limits.

Challenge and get performance evaluation