Education Technology

# Activities

• ##### Subject Area

• Maths: Algebra I: Equations and Inequalities

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

TI Connectivity Cable
Unit-to-Unit link cables

• ##### Other Materials
This is Activity 5 from the EXPLORATIONS Book:
Exploring Mathematics with the Inequality Graphing Application

## Maximizing Your Efforts

#### 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