Practice Steps To Solve Linear Programming Problems (10.5) - Linear Programming

Practice: Steps to Solve Linear Programming Problems

Lesson 10.5Linear 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.
What are decision variables in linear programming?
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Think about what you need to determine.
Question 2.
What is the objective function?
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It's your goal in the problem.
3Question 3.
What is the primary goal of linear programming?
- A) To find the optimal solution for a problem.
- B) To create complex equations.
- C) To eliminate variables.
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Think about what we do with the objective function.
4Question 4.
True or False: The feasible region is where no constraints are satisfied.
- True
- False
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Recall what feasible means in this context.
Question 5.
A company produces two products (P1 and P2) with profit margins of $20 and $30, respectively. If the production of P1 takes 2 hours and P2 takes 3 hours, and the total available hours are 100, formulate the problem and state the constraints. Solve for the optimal production mix.
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Start by identifying your decision variables, then formulate your objective function and constraints.
Question 6.
An airline needs to decide how many flights to run for two routes: A and B. Each flight for route A costs $1000 and generates $3000, while route B costs $2000 and generates $5000. If the maximum cost allowed for the day is $10,000, determine the optimal number of flights to maximize revenue.
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Focus on establishing a clear objective function and ensuring all constraints fit within your limits.

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