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Linear Programming: Maximize Cookie Profit

Linear Programming: Maximize Cookie Profit
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2012-12-04 08:00
Coordinate GeometryOptimizationInequality
In collections Geom. & Alg.: Systems Equations & Linear Programming
This example demonstrates how to maximize cookie profit using linear programming methods. Key mathematical concepts include linear inequalities and linear functions. Using GeoGebra commands such as Intersect and Polygon, a feasible solution region is constructed. Suitable for high school mathematics education, particularly in teaching linear programming and optimization problems.

GeoGebra Commands & Parameters

  1. Intersect(g, h) → A
  2. Intersect(g, f) → B
  3. Intersect(f, i) → D
  4. Intersect(yAxis, h) → E
  5. Intersect(i, yAxis) → F
  6. Polygon(F, E, A, B, D) → poly1, f_1, e_1, a_1, b_1, d_1

AI Drawing Prompt Reference

Draw a coordinate system with three lines and their intersections with the x-axis and y-axis. Enclose a polygon with these intersection points to represent the feasible solution set in linear programming, and label the vertices of the polygon.
The prompt above was compiled from the original drawing commands and is for reference only.