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: Evergreen Turkey Ranch is considering buying two different brands of turkey feed and blending them to provide a good, low-cost diet for its turkeys. Each feed contains, in varying proportions, some or all the three nutritional ingredients essential for fattening turkeys. Each pound of brand 1 purchased contains 5 ounces of ingredient A, 4 ounces of ingredient B, and 0.5 ounces of ingredient C. Each pound of brand 2 contains 10 ounces of ingredient A, 3 ounces of ingredient B, but no ingredient C. The brand 1 feed costs the ranch 2 cents a pound, while the brand 2 feed costs 3 cents a pound. The owner of the ranch would like to use LP to determine the lowest-cost diet that meets the minimum monthly intake requirement for each nutritional ingredient. All ingredients must be at least 90 ounces, 48 ounces, and 1.5 ounces, respectively