Education Technology

Maximizing Your Efforts

Published on 06/09/2008

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