Lesson Plan 2: Hassan's Pictures - Linear Programming and Profit Lines
This lesson helps students learn to find the feasible region in a linear programming problem, to graph a family of profit lines, and to find the optimum point - the point on the feasible region that will produce the greatest profit. The lesson plan is based on the activity Patricia Valdez presents in the video for Part II of this workshop.
Two 50-minute periods
Systems of linear inequalities
Students will be able to:
Graph the feasible region in a linear programming problem.
Graph a family of profit lines for a given linear programming problem.
Determine the optimum point or solution to a linear programming problem.
Standards: Principles and Standards for School Mathematics, National Council of Teachers of Mathematics (NCTM), 2000: