Case Study

Warehouse Spatial Planning under Safety Constraints

Based on the case study provided, recall and describe the key graphical components and the final outcome of this system of linear inequalities. Specifically address the following in your explanation:

  1. Identify the geometric relationship between the two boundary lines (parallel, intersecting, or perpendicular) and explain why this relationship exists.
  2. State the shading direction for each inequality relative to its boundary line (above/below or left/right) and briefly recall how testing the origin (0,0) determines this.
  3. State the final conclusion regarding the overlapping region of the two shaded areas and the resulting solution set of the system.

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Updated 2026-06-17

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