Practice Justifying Optimum Profit (7.9) - Linear Programming - Design & Analysis of Algorithms - Vol 3

Practice: Justifying Optimum Profit

Lesson 7.9Linear Programming

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9 questions

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4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define the term 'Objective Function' in the context of linear programming.
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Think about what you are trying to maximize or minimize.
Question 2.
What is a feasible region?
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Consider the graphical representation of constraints.
3Question 3.
What does the 'feasible region' represent in a linear programming problem?
- All possible combinations of solution values
- Only the maximum value area
- The least profitable region
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Consider what 'feasibility' means in this context.
4Question 4.
True or False: The optimal solution for a linear programming problem can be anywhere in the feasible region.
- True
- False
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Think about the nature of linear functions.
Question 5.
A factory produces widgets and gadgets. The profit from each widget is 150 rupees, and gadgets 400 rupees. Given the constraints on production as follows: Widgets ≤ 300, Gadgets ≤ 200, and total items ≤ 400. Compute the optimal production strategy for maximum profit.
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Draw the constraint graph and find intersections.
Question 6.
Imagine you want to maximize space in a circular garden by planting a combination of roses and lilies. Given specific sunlight requirements and nutrient needs, develop a linear programming model to decide the optimal number of each type of plant.
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Relate your constraints to available area and sunlight distribution.

5 more questions in this section. Enroll free to practise them all.