1. Identify the Objective Function: Define the function to maximize or minimize (e.g., ).

2. List the Constraints: Write down the inequalities that restrict the values of the variables (e.g., ).

3. Graph the Constraints:

Plot each inequality on a coordinate system.

Convert inequalities to equalities to find boundary lines and shade the feasible region.

4. Determine Feasible Region: Identify the area where all constraints overlap. This region contains all possible solutions.

5. Evaluate the Corner Points: Calculate the value of the objective function at each vertex (corner) of the feasible region.

6. Find the Optimal Solution: Identify the vertex that gives the highest (maximization) or lowest (minimization) value of the objective function.

This method allows you to visualize and determine the opti

mal solution effectively!