Practice Minimization Problem (10.6.2) - Linear Programming - ICSE 12 Mathematics

Practice: Minimization Problem

Lesson 10.6.2Linear Programming

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8 questions

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6 sample questions

Question 1.
Define a Minimization Problem in the context of Linear Programming.
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Think about what we want to achieve in these problems.
Question 2.
What is the graphical method?
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Consider how you can visualize constraints.
3Question 3.
What is the objective of a Minimization Problem?
- To maximize revenue
- To make decisions
- To minimize costs
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Think about the term 'minimization'.
4Question 4.
True or False: The Simplex Method is only applicable to maximization problems.
- True
- False
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Consider the versatility of the Simplex Method.
Question 5.
A bakery produces two types of pastries: A and B. Each pastry A costs $2, and each pastry B costs $3. They want to minimize costs while producing at least 50 pastries total. Each type involves different constraints on flour and sugar. Formulate their linear programming model.
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Identify your decision variables and the objective function first.
Question 6.
A company has a budget of $30,000 for a new marketing campaign. They need to minimize costs while maximizing reach. Costs are characterized by sources: Social Media, TV, and Radio. Determine potential constraints and formulate for minimizing marketing costs.
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How will each channel's effectiveness impact your constraints?

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