STEP-BY-STEP ANSWER:
Step 1: Define the decision variables that represent the quantities to be produced.
Step 2: Formulate the objective function, typically to maximize operating income or minimize costs.
Step 3: Identify all relevant constraints (e.g., resource availability, capacity limits).
Step 4: Set up the linear programming model with the defined objective function and constraints.
Step 5: Solve the model using an appropriate algorithm (e.g., the simplex method) to determine the optimal production levels.
Final Answer: The optimal solution indicates the best production levels that maximize profit or minimize costs while satisfying all constraints.