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Linear Programming Demonstration by Mathguru (2)

Linear Programming Demonstration by Mathguru (2)
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2013-01-04 16:03
FunctionCalculusOptimizationInequality
This example demonstrates how to optimize a function subject to constraints, involving core concepts like inequalities, linear functions, feasible region, and optimal solutions. It is constructed using GeoGebra commands and objects such as PointIn, Textfield, Sequence, Text, Reset, A, sol, P, a, b, ab, text3, text4, inputBox1, inputBox2, text2, d, text5, e, text7, text6, f, g, list2, list3, list4, list5, text8, h, c, inputBox3, l, text9, text1, a1, a2, a3, sys, k, text11, text10, list1, suitable for high school and above students to understand optimization problems.

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 linear programming optimization example with objective function and constraints. Start by drawing the coordinate axes, then plot the feasible region based on the input inequalities. Next, draw segments for the objective function and find the optimal solution point. Finally, display the system of inequalities and input boxes for users to adjust parameters.
The prompt above was compiled from the original drawing commands and is for reference only.