Practice Maximization Problem (10.6.1) - Linear Programming - ICSE 12 Mathematics

Practice: Maximization Problem

Lesson 10.6.1Linear Programming

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8 questions

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6 sample questions

Question 1.
What is the definition of a Maximization Problem?
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Think about how businesses and organizations look to increase profits or outputs.
Question 2.
Name one method used to solve maximization problems.
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Consider visual representation techniques.
3Question 3.
What is the main goal of a maximization problem?
- To minimize costs
- To maximize an objective function
- To find decision variables
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Think about objectives in business.
4Question 4.
True or False: Constraints play no role in addressing maximization problems.
- True
- False
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Consider what happens if we ignore limits.
Question 5.
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?
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Define decision variables and form the objective function.
Question 6.
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.
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Identify the points where the lines intersect as potential optimal solutions.

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