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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define linear programming.
💡 Hint: Think about optimization in math.
Question 2
Easy
What does the objective function represent?
💡 Hint: Related to profit in our sweets shop example.
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 does linear programming aim to do?
- Minimize costs
- Maximize outputs
- Both
💡 Hint: Think about both contexts in which LP can be applied.
Question 2
Is the profit function of the sweets shop linear?
- True
- False
💡 Hint: Consider the nature of the profit formula.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a different sweets shop that produces barfis (100 rupees), halwas (600 rupees), and rasmalais (1300 rupees). The shop can't produce over 600 sweets in total and the demand is up to 300 for halwas and 200 for barfis. Formulate the LP and solve for maximum profit.
💡 Hint: Draw out the constraints to visualize the feasible region.
Question 2
If a new constraint was added where rasmalai requires three times the milk as halwa, how would that change the feasibility?
💡 Hint: Sketch this new line against your original constraints.
Challenge and get performance evaluation