Education Technology

Maximizing Your Efforts

Published on 08/24/2011

Activity Overview

Students write an objective function and graph the system of inequalities to find the maximum profit from selling two types of game players.

Key Steps

  • Image

    Students will solve a manufacturing problem using a system of linear inequalities in a linear programming model. After reading the company information, students will find the profit objective function for a company that makes different types of game players.

  • Image

    Next, students will identify all the constraints in the problem, including assembly time, testing time, and non-negative restrictions. Students will use this information to graph all of the inequalities that represent the constraints.

  • Image

    Students will identify all of the vertices of the feasible region and evaluate each of the points to find the maximum profit possible under the given constraints.