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School Supply Company Production Example

School Supply Company Production Example
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2015-11-06 03:58
InequalityGeometric ConstructionGraphing
This example demonstrates a school supply company producing wooden and plastic rulers, involving stages of manufacturing and painting. It focuses on concepts like inequalities, ratios, and optimization. Constructed using GeoGebra commands such as Intersect, Polygon, and TableText, it is suitable for middle school and above students learning mathematical modeling and problem-solving in real-world contexts.

GeoGebra Commands & Parameters

  1. Intersect(b, yAxis) → A
  2. Intersect(b, xAxis) → B
  3. Intersect(xAxis, yAxis) → C
  4. Polygon(A, B, C) → poly1, c, a_3, b_3
  5. Intersect(a, yAxis) → D
  6. Intersect(a, xAxis) → E
  7. Polygon(D, E, C) → poly2, c_3, d, e
  8. TableText({{((((a_1 * "\mathit{w} +") * b_1) * "\mathit{p} \leq") * c_1)}, {((((a_2 * "\mathit{w} +") * b_2) * "\mathit{p} \leq") * c_2)}, {"\mathit{w} \geq0"}, {"\mathit{p} \geq 0"}}, "{") → text11
  9. TableText({{((((((((a_1 * "(") * h) * ")+") * b_1) * "(") * i) * ") \leq") * c_1)}, {((((((((a_2 * "(") * h) * ")+") * b_2) * "(") * i) * ") \leq") * c_2)}, {(h * "\geq0")}, {(i * " \geq 0")}}, "{") → text12
  10. TableText({{((I * " \leq") * c_1)}, {((j * "\leq") * c_2)}, {(h * "\geq0")}, {(i * " \geq 0")}}, "{") → text13