10.1 - Introduction to Linear Programming
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Practice Questions
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What are the two main objectives in Linear Programming?
💡 Hint: Think of profit and cost.
Name one component of a Linear Programming Problem.
💡 Hint: They all start with different letters.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Linear Programming aim to do?
💡 Hint: Remember the definition of LP.
True or False: Non-negativity restrictions allow decision variables to take negative values.
💡 Hint: Consider what the 'non-negativity' means.
1 more question available
Challenge Problems
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A company must decide how many units of Product A and Product B to produce. Each unit of A takes 2 hours of labor and 3 units of material, while each unit of B takes 5 hours and 2 units of material. The company can only afford 100 hours of labor and 60 units of material. Formulate this as a linear programming problem and determine the feasible region.
💡 Hint: Draw the constraints on a graph to visualize the feasible area.
Using a graphical method, how would you solve the problem previously described? Explain the steps for finding the optimum solution.
💡 Hint: Focus on the vertices of the shape formed by the constraints.
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