10.6.1 - Maximization Problem
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Practice Questions
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What is the definition of a Maximization Problem?
💡 Hint: Think about how businesses and organizations look to increase profits or outputs.
Name one method used to solve maximization problems.
💡 Hint: Consider visual representation techniques.
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Interactive Quizzes
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What is the main goal of a maximization problem?
💡 Hint: Think about objectives in business.
True or False: Constraints play no role in addressing maximization problems.
💡 Hint: Consider what happens if we ignore limits.
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Challenge Problems
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A company produces two products, A and B, with profits of $5 and $3 per unit respectively. If they have constraints of at most 200 units of resource R and at most 150 units of resource S, how would you formulate the maximization problem?
💡 Hint: Define decision variables and form the objective function.
Explain how you would graphically solve a maximization problem with the objective function Z = 4x + 6y, given constraints 2x + 3y ≤ 12 and x >= 0, y >= 0.
💡 Hint: Identify the points where the lines intersect as potential optimal solutions.
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