Practice Introduction To Linear Programming (10.1) - Linear Programming

Practice: Introduction to Linear Programming

Lesson 10.1Linear Programming

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9 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What are the two main objectives in Linear Programming?
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Think of profit and cost.
Question 2.
Name one component of a Linear Programming Problem.
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They all start with different letters.
3Question 3.
What does Linear Programming aim to do?
- Maximize or minimize a non-linear function
- Maximize or minimize a linear function
- Only maximize costs
- Only minimize resources
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Remember the definition of LP.
4Question 4.
True or False: Non-negativity restrictions allow decision variables to take negative values.
- True
- False
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Consider what the 'non-negativity' means.
Question 5.
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.
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Draw the constraints on a graph to visualize the feasible area.
Question 6.
Using a graphical method, how would you solve the problem previously described? Explain the steps for finding the optimum solution.
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Focus on the vertices of the shape formed by the constraints.

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