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.
Follow the Activity procedures:
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