Practice Justifying Optimum Profit - 7.9 | 7. Linear Programming | Design & Analysis of Algorithms - Vol 3
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7.9 - Justifying Optimum Profit

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the term 'Objective Function' in the context of linear programming.

💡 Hint: Think about what you are trying to maximize or minimize.

Question 2

Easy

What is a feasible region?

💡 Hint: Consider the graphical representation of constraints.

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 the 'feasible region' represent in a linear programming problem?

  • All possible combinations of solution values
  • Only the maximum value area
  • The least profitable region

💡 Hint: Consider what 'feasibility' means in this context.

Question 2

True or False: The optimal solution for a linear programming problem can be anywhere in the feasible region.

  • True
  • False

💡 Hint: Think about the nature of linear functions.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A factory produces widgets and gadgets. The profit from each widget is 150 rupees, and gadgets 400 rupees. Given the constraints on production as follows: Widgets ≤ 300, Gadgets ≤ 200, and total items ≤ 400. Compute the optimal production strategy for maximum profit.

💡 Hint: Draw the constraint graph and find intersections.

Question 2

Imagine you want to maximize space in a circular garden by planting a combination of roses and lilies. Given specific sunlight requirements and nutrient needs, develop a linear programming model to decide the optimal number of each type of plant.

💡 Hint: Relate your constraints to available area and sunlight distribution.

Challenge and get performance evaluation