Practice Graphical Representation - 7.3 | 7. Linear Programming | Design & Analysis of Algorithms - Vol 3
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7.3 - Graphical Representation

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the objective function in the sweets shop example?

💡 Hint: Think about how much profit each sweet generates.

Question 2

Easy

Define feasible region in the context of linear programming.

💡 Hint: Where do all the constraints overlap?

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?

  • To minimize variables
  • To maximize or minimize an objective function
  • To graph equations

💡 Hint: Consider what we want to achieve in optimization.

Question 2

True or False: The Simplex Algorithm guarantees finding the optimal solution at non-vertex points.

  • True
  • False

💡 Hint: Look at where the constraints intersect.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the constraints of a sweets shop 'b ≤ 200', 'h ≤ 300', and 'b + h ≤ 400', graph the feasible region and explain its shape.

💡 Hint: Plot each line carefully and identify intersections to visualize your region.

Question 2

If you add a new product, say almond rasmalai, with a profit of 1300 per box and only limited by milk constraints, how would you redefine your problem in terms of variables and constraints?

💡 Hint: Consider how much milk each type of sweet needs when formulating your new limits.

Challenge and get performance evaluation