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East Tech 2012 Linear Programming Demo

East Tech 2012 Linear Programming Demo
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2017-06-10 17:29
Coordinate GeometryOptimizationGeometric Construction
This example demonstrates linear programming problems, showing feasible regions and optimal solutions through geometry. Key math concepts include linear inequalities, feasible regions, optimal solutions, and linear optimization. GeoGebra commands like Segment, Intersect, Pyramid, and Cylinder are used to construct geometric figures. Suitable for high school students and math enthusiasts learning linear programming and optimization.

GeoGebra Commands & Parameters

  1. Segment(A, C) → f
  2. Segment(C, B) → g
  3. Segment(B, A) → h
  4. Segment(P, A) → i
  5. Segment(P, C) → j
  6. Segment(P, B) → k
  7. Intersect(g, f) → D
  8. Pyramid(C, B, A, P) → b, faceABC, edgeAP, faceBCP, faceABP, faceACP, edgeBC, edgeAB, edgeAC, edgeCP, edgeBP
  9. Pyramid(faceBCP, D) → c, faceBCD, faceBDP, faceCDP, edgeCD, edgeBD, edgeDP
  10. Intersect(zAxis, yAxis) → E
  11. Cylinder(E, P, 1) → d, e, p, l