# All about Linear Programming

- Author:
- Andi Vicksman, CU Teach Engineering (a STEM licensure pathway), Engineering Plus Degree Program, University of Colorado Boulder, Maia Vadeen, Malinda Zarske, Nathan Coyle, Russell Anderson, Ryan Sullivan
- Subject:
- Mathematics, Algebra, Geometry
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering NGSS Aligned Resources
- Level:
- Middle School, High School
- Grades:
- Grade 8, Grade 9, Grade 10, Grade 11, Grade 12

- Language:
- English
- Material Type:
- Lesson
- Media Format:
- Text/HTML

- Abstract:
Students learn about linear programming (also called linear optimization) to solve engineering design problems. As they work through a word problem as a class, they learn about the ideas of constraints, feasibility and optimization related to graphing linear equalities. Then they apply this information to solve two practice engineering design problems related to optimizing materials and cost by graphing inequalities, determining coordinates and equations from their graphs, and solving their equations. It is suggested that students conduct the associated activity, Optimizing Pencils in a Tray, before this lesson, although either order is acceptable.

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