PART 1. SOLVING LINEAR PROGRAMMING MODELS USING GRAPHICAL METHOD

Analyze the given problems then formulate the appropriate linear programming model for each (either maximization or minimization) to determine the optimal solution. For each problem, provide the following:

1. Table of constraints and parameters

2. Decision variables

3. Objective function and constraint equations

4. Graph of the constraints with label for each corner point (including the table of values)

5. Calculation of the coordinates of the POI/s (point of intersection/s)

6. List of feasible solutions and their corresponding profit/cost

7. Conclusion.

Note: Don't forget to include the graph.

Problem: The Koala Bear Company makes cereal from several ingredients. Two of the ingredients, oats, and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each cereal box to meet the minimum requirements of 48 milligrams of vitamin A and 12 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 8 milligrams of vitamin A and 1 milligram of vitamin B, whereas an ounce of rice contributes 6 milligrams of A and 2 milligrams of B. An ounce of oats costs $0.05, and an ounce of rice costs $0.03.