7.9 - Justifying Optimum Profit
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Practice Questions
Test your understanding with targeted questions
Define the term 'Objective Function' in the context of linear programming.
💡 Hint: Think about what you are trying to maximize or minimize.
What is a feasible region?
💡 Hint: Consider the graphical representation of constraints.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the 'feasible region' represent in a linear programming problem?
💡 Hint: Consider what 'feasibility' means in this context.
True or False: The optimal solution for a linear programming problem can be anywhere in the feasible region.
💡 Hint: Think about the nature of linear functions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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