Linear Programming

Tim Brzezinski, Feb 1, 2017

Contains Linear Programming Applets

Table of Contents

  1. Prerequisite Skills
    1. Linear Inequalities of 2 Variables: Illustrator
    2. Inequalities in Standard Form (Illustrator)
    3. Solutions to Linear Inequalities
    4. Graphing Linear Inequalities with 2 Variables (Quiz)
    5. Graphing Linear Inequalities Written in Standard Form (Quiz)
  2. Linear Programming
    1. Linear Programming Illustration (1)
    2. Linear Programming Illustration (2)
    3. Feasible Region Graphing Aid (II)
    4. Feasible Region Graphing Aid (I)
    5. REVAMPED: Modifiable Feasible Set Grapher (Linear Programming)
    6. Linear Programming: Problem 1
    7. Linear Programming: Problem 2

1.

Prerequisite Skills

  • 1. Linear Inequalities of 2 Variables: Illustrator
  • 2. Inequalities in Standard Form (Illustrator)
  • 3. Solutions to Linear Inequalities
  • 4. Graphing Linear Inequalities with 2 Variables (Quiz)
  • 5. Graphing Linear Inequalities Written in Standard Form (Quiz)

1.1.

Linear Inequalities of 2 Variables: Illustrator

Suppose we graph the inequality [math]y>\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y<\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y\le\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y\ge\frac{1}{2}x+2[/math]. This graph can be described as
– Tim Brzezinski

1.2.

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1.3.

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1.4.

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1.5.

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2.

Linear Programming

  • 1. Linear Programming Illustration (1)
  • 2. Linear Programming Illustration (2)
  • 3. Feasible Region Graphing Aid (II)
  • 4. Feasible Region Graphing Aid (I)
  • 5. REVAMPED: Modifiable Feasible Set Grapher (Linear Programming)
  • 6. Linear Programming: Problem 1
  • 7. Linear Programming: Problem 2

2.1.

Linear Programming Illustration (1)

[color=#0000ff][b][url=https://docs.google.com/document/d/1pDpnZKzAwPXYQJGSIGUBUeanAAjJPzJOC3INjmitXzs/edit?usp=sharing]Link to Application Problem this Applet Accompanies[/url][/b][/color]
Drag the [b][color=#980000]BROWN POINT[/color][/b] inside the feasible region. [br][br][color=#980000][b]How many skilled workers [/b][/color][color=#0000ff]and [/color][color=#980000][b]how many students[/b][/color][color=#0000ff] must Brad hire in order to maximize the number of race packets produced? [/color]
– Tim Brzezinski

2.2.

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2.4.

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2.5.

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2.6.

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2.7.

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