Activity Detail
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Using Linear Programming in Real-Life Problems
 


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

    		Other Downloads




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    Subject Area:
    Math : Algebra I : Linear Equations and Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-92 Plus / Voyage™ 200

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 4 from the EXPLORATIONS Book:
    Discovering Math on the Voyage 200.

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