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Linear Programming: Problem 2

Linear Programming: Problem 2
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2017-02-03 21:11
Coordinate GeometryOptimizationInequality
In collections CCSS HS: Algebra (Reasoning with Equations & Inequalities) Linear Programming CCSS HS: Algebra (Reasoning with Equations & Inequalities) CCSS HS: Algebra (Reasoning with Equations & Inequalities)
This example demonstrates the solution process of a linear programming problem through graphical representation, showcasing the optimal solution via feasible region and objective function. Core math concepts include linear inequalities, feasible regions, optimal solutions, and objective functions. Construction highlights involve GeoGebra commands like Textfield, Intersect, Point, and PointIn for input handling, intersection calculation, point positioning, and feasibility checking. Suitable for high school and above students learning linear programming techniques.

GeoGebra Commands & Parameters

  1. Textfield(i) → InputBox2
  2. Intersect(i, xAxis) → A
  3. Point(i) → B
  4. Textfield(a) → InputBox4
  5. Textfield(d) → InputBox5
  6. Textfield(e) → InputBox6
  7. Textfield(f) → InputBox7
  8. Textfield(t) → InputBox1
  9. Textfield(f_1) → InputBox3
  10. Textfield(g_1) → InputBox8
  11. Textfield(h_1) → InputBox9
  12. PointIn(o) → E
  13. Intersect(t, f_1) → F
  14. Intersect(f_1, h_1) → G