Conquer It

Now, it is time for you to try a linear inequality exercise on your own. Remember the steps to help guide you through the process. Use your graphing calculator to facilitate the graphing and performing the calculations.

Problem-Solving Tip

  1. Step 1: Identify the unknowns and assign variables to them.
  2. Step 2: Write the objective function.
  3. Step 3: Develop a system of inequalities that model the constraints identified in the problem.
  4. Step 4: Graph the system of inequalities.
  5. Step 5: Calculate the coordinates of the vertices of the shaded region formed by the system of equations.
  6. Step 6: Find the vertex whose coordinates maximize or minimize the objective function.
  7. Step 7: Interpret the coordinates of the maximizing/minimizing vertex within the context of the problem.