AS 91574 · 3 credits · Internal
Linear programming
Apply linear programming methods in solving problems
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This standard asks you to solve real-world and maths problems using linear programming techniques. You'll set up inequalities, find the feasible region (where all constraints are satisfied), and find the best solution that optimises something like cost or profit.
What to do, grades and common mistakes
- ·Set up and interpret linear inequalities based on the problem context
- ·Graph the feasible region correctly by finding where constraint lines intersect
- ·Identify and test corner points of the feasible region to find the optimal solution
- ·Use correct mathematical language and notation throughout your working
- ·Relate your mathematical answer back to the original problem and explain what it means
You apply linear programming methods to solve the problem using correct methods, though your explanation of each step may be brief.
You show understanding by connecting different parts of the problem (like linking constraints to the graph to the solution), use logical reasoning to justify your approach, and clearly explain what your answer means in context.