Activity Detail
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Maximizing Your Efforts
 


Activity Overview

In this activity, 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

    		Other Downloads




    view standards alignment
    view textbook alignment

    Subject Area:
    Math : Algebra I : Equations and Inequalities

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-83 Plus Family, TI-84 Plus Family

    Apps:
    Inequality Graphing

    Software:
    TI Connect™

    Accessories:
    TI Connectivity Cable, Unit-to-Unit link cables

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



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