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

Problem: The purchasing manager of Kraft Foods wants to determine the supply mix that will result on minimum cost. According to his data, a gallon of Alaska milk can produce 5 cases of cheese, 7 cases of butter, and 9 cases of cream. A gallon of Nestle milk can produce 11 cases of cheese, 8 cases of butter, and 4 cases of cream. He must produce at least 110 cases of cheeses, 112 cases of butter, and 72 cases of cream per day. Alaska milk cost $50 per gallon while Nestle milk cost $55 per gallon.