Algebra II
Activity:
Maximizing Your Efforts
Posted on Feb 11, 2010
Topic: Linear Programming
Students write an objective function and graph the system of inequalities to find the maximum profit from selling two types of game players.
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Activity Key Steps:
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.
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.
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. The goal of this problem is for students to solve a real world linear programming problem using the TI Nspire technology to visualize all of the possibilities.