7.4 - Feasible Region and Optimizing Profit
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Practice Questions
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Define linear programming.
💡 Hint: Think about the purpose of this method in decision-making.
What is a feasible region?
💡 Hint: Consider how constraints shape the area of possible solutions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is linear programming primarily used for?
💡 Hint: Think about efficiency and resource allocation.
The optimal solution to a linear programming problem is found at which location?
💡 Hint: Visualize the graph of constraints.
2 more questions available
Challenge Problems
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Given the constraints: x + 2y ≤ 8, x ≤ 4, y ≤ 5, find the feasible region and represent it graphically.
💡 Hint: Remember to plot each boundary line and find where the shaded areas overlap.
Design a profit-maximizing strategy for a shop that sells three products A, B, and C using the constraints provided in the problem.
💡 Hint: Start with the profit function and ensure it reflects the contribution of all products while respecting resource limits.
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