Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Linear Inequalities
• Math: Algebra I: Systems of Linear Equations

9-12

60 Minutes

• ##### Device
• TI-92 Plus / Voyage™ 200
• ##### Other Materials
This is Activity 4 from the EXPLORATIONS Book:
Discovering Math on the Voyage 200.

## Using Linear Programming in Real-Life Problems

#### Activity Overview

In this activity, students explore linear equation models for real-life situations.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 23 - 30 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Find the minimum cost of baking two types of cookies (x and y) using inequalities and linear programming
• Use information given in the problem statement to write the system of inequalities
• For each inequality solve for y
• Graph the functions and view a graphical representation of the inequality system
• Mark the feasible region and shade it
• Identify the vertices of the feasible region
• Record the coordinates of the intersecting points
• Evaluate the objective function at each vertex
• Record the vertex coordinates and objective function values in a table
• Find the minimum cost required to bake the cookies by comparing the objective function values
• #### After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary