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Linear Programming Demonstration by Mathguru

Linear Programming Demonstration by Mathguru
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2013-01-04 16:03
Coordinate GeometryOptimizationInequality
This example demonstrates how to optimize a function under given constraints, involving core concepts like inequalities, function optimization, and coordinate geometry. It is constructed using GeoGebra commands such as PointIn, Textfield, Sequence, and Text, suitable for high school and above learners or educational purposes.

GeoGebra Commands & Parameters

  1. PointIn(sol) → P
  2. Textfield(a) → inputBox1
  3. Textfield(b) → inputBox2
  4. Sequence(Segment[(i, y(Corner[1])), (i, y(Corner[3]))], i, 1, ceil(x(Corner[3]))) → list2
  5. Sequence(Segment[(x(Corner[1]), j), (x(Corner[3]), j)], j, 1, ceil(y(Corner[3]))) → list3
  6. Sequence(Segment[(x(Corner[1]), -j), (x(Corner[3]), -j)], j, 1, abs(floor(y(Corner[1])))) → list4
  7. Sequence(Segment[(-i, y(Corner[1])), (-i, y(Corner[3]))], i, 1, abs(floor(x(Corner[1])))) → list5
  8. Textfield(c) → inputBox3
  9. Text(LaTeX["\left \{ \begin{array}{l}\\ " * a1 * "\\ " * a2 * "\\ " * a3 * "\\\end{array}\right.", true], A, true, true) → sys

AI Drawing Prompt Reference

Draw a coordinate system with a shaded region defined by inequalities and mark the optimal point within it. Include input boxes for setting inequality parameters, extend background grid lines from the origin in all four directions, and display the text of the inequality system.
The prompt above was compiled from the original drawing commands and is for reference only.