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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