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Linear programming basics

This classroom material helps 11th-grade students practice linear programming concepts by identifying feasible regions, analyzing vertex points, evaluating solution satisfaction, and sequencing problem-solving steps. Students also match key terms with their definitions through guided exercises.

By Edform · Mathematics · Grade 11 · Published Oct 15, 2026 · New

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Questions

  1. Which point is a vertex of the feasible region for the system: x + y ≤ 6, x ≥ 0, y ≥ 0, x ≤ 4?
  2. Which of the following points satisfy the system: x + 2y ≤ 8, x ≥ 0, y ≥ 0?
  3. Put the steps of solving a linear programming problem in the correct order.
  4. Match each term to its correct definition.
  5. Fill in the blanks with the correct words.
  6. Choose the correct option to complete the sentence.
  7. Sort each statement as describing either a 'Constraint' or an 'Objective Function'.
  8. Determine whether each statement about linear programming is true or false.
  9. A company wants to maximize profit P = 5x + 3y subject to x + y ≤ 8, x ≥ 0, y ≥ 0, x ≤ 5. What is the maximum profit?
  10. What is the name for the set of all points that satisfy all constraints in a linear programming problem?

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