Activity Overview
Students use linear programming to solve problems involving maximum and minimum values. They use the Inequality Graphing application to solve linear programming problems.
Before the Activity
Install the Inequality Graphing Application on the calculator using one of these two methods:
- TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
- TI-Navigator™ "send to class" feature
See the attached PDF file for detailed instructions for this activity
Print pages 47-54 from the attached PDF file for your class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Define variables m and g, to represent Major Player and Gamer Gallery players
Write an expression that represents the profit earned from selling the two players
Write an objective function to find the value to be maximized
Write a system of inequalities representing the constraints for the problem situation
Graph the system of inequalities
Use shading to determine the feasible region
Find the vertices of the feasible region
Substitute the coordinates of each vertex into the objective function to find the maximum profit
Identify how many of each type of player results in the maximum monthly profit
Determine the maximum possible monthly profit
After the Activity
Students will complete the Student Worksheet and answer questions.
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary