10.5 - Steps to Solve Linear Programming Problems
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Practice Questions
Test your understanding with targeted questions
What are decision variables in linear programming?
💡 Hint: Think about what you need to determine.
What is the objective function?
💡 Hint: It's your goal in the problem.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary goal of linear programming?
💡 Hint: Think about what we do with the objective function.
True or False: The feasible region is where no constraints are satisfied.
💡 Hint: Recall what feasible means in this context.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Start by identifying your decision variables, then formulate your objective function and constraints.
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.
💡 Hint: Focus on establishing a clear objective function and ensuring all constraints fit within your limits.
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