10.5.1 - Formulate the Problem
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Practice Questions
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Define decision variables in the context of an LPP.
💡 Hint: Think about what choices you can control in the problem.
What is the objective function?
💡 Hint: Recall it’s set up to achieve as much profit or as little cost as possible.
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Interactive Quizzes
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What do decision variables represent in LPP?
💡 Hint: Think about what aspects of the problem are controllable.
The objective function must always be a:
💡 Hint: Consider the linear relationship aspect.
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Challenge Problems
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A company produces two types of bicycles, A and B. Type A requires 1 hour of assembly and 2 hours of painting, while Type B requires 2 hours of both. If the company has 120 hours available for each task and wants to maximize profit from A ($40 each) and B ($30 each), formulate the LPP including decision variables, the objective function, and constraints.
💡 Hint: Analyze the time required for each task.
A farmer has 200 acres of land to plant corn and wheat. Each acre of corn requires 1 hour of work, and each acre of wheat requires 2 hours. The farmer has 280 hours of labor available and wants to maximize revenue—corn sells for $300/acre and wheat for $400/acre. Formulate the LPP.
💡 Hint: Allocate labor hours against crop land limits.
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