Chapter 40.2
Linear programming word problems
What You'll Learn
Translate word problem constraints into mathematical inequalities
Identify and set up the objective function to maximize or minimize
Graph constraint inequalities to find the feasible region
Locate corner points of the feasible region using graphing or algebra
Evaluate the objective function at each vertex to find the optimal solution
What You'll Practice
1
Setting up optimization problems with two variables from word problems
2
Graphing multiple linear inequalities to identify feasible regions
3
Finding intersection points of constraint boundaries
4
Testing corner points to maximize profit or minimize cost
Why This Matters
Linear programming helps you solve real-world optimization problems in business, economics, and resource management. From maximizing profits in manufacturing to minimizing costs in logistics, this skill is essential in operations research, economics courses, and many STEM careers.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Skills
Linear Programming
Optimization
Systems of Inequalities
Graphing
Constraints
Objective Function
Word Problems
Feasible Region
OH Curriculum Aligned
