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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the objective function in a linear programming problem?
💡 Hint: Think about what we are trying to achieve with the variables.
Question 2
Easy
Define the term 'constraints'.
💡 Hint: Consider what restrictions we may have in solving 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 purpose of an objective function in linear programming?
- To set constraints
- To optimize a value
- To graph the solution
💡 Hint: Think about what the main goal of the problem is.
Question 2
Constraints in linear programming are necessary for creating a ____.
💡 Hint: What do constraints help define in a graph?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A factory produces two products A and B. Product A requires 3 hours of labor and 2 kg of material. Product B requires 1 hour of labor and 4 kg of material. If the factory has 60 hours of labor and 40 kg of material, and the profit from the products is $10 for A and $6 for B, formulate the linear programming problem and find the optimal production quantities.
💡 Hint: Sketch the constraints on a graph to find feasible points.
Question 2
In a diet problem, a student wants to minimize the cost of buying food while meeting nutritional requirements. If food X costs $2 and provides 3 protein units, and food Y costs $3 and provides 2 protein units, and the student needs at least 12 protein units. Formulate this as a linear programming problem.
💡 Hint: Identify constraints based on the minimum protein requirements.
Challenge and get performance evaluation