QUESTION 2 Nutrition Problem - A farmer raises hogs for profit. They are organic pigs of the highest caliber. The farmer is a former nutritionist and has devised the following table of possible nutrients and minimum daily requirements for 3 nutritional categories. For example, a Kilogram of corn provides 90 units of carbohydrates, 30 of protein, and 10 of vitamins. Also, there are 200 units of carbohydrates required daily, and com costs $35 per kilogram. The farmer is interested in knowing the kilograms of Corn, Tankage, and Alfalfa that will minimize his cost. Daily nutritional requirements Kg. of Corn Kg. of Kg. of Alfalfa Min. Tankage Requirements Carbohydrates 90 20 40 200 Protein 30 80 60 180 Vitamins 10 20 60 150 Costs $35 $30 $25 Daily (5 a. Formulate the LP for this problem. marks) b. Solve the problem with Solver. (5 marks) c. What is the marginal effect on the objective function of adding onc unit of cach ingredient (Min. daily requirements)? Recall this sensitivity analysis is done by looking at each decision variable, one at a time. (5 marks) d. How does the solution change if an additional 15 units of RIIS are added for each of the nutrition constraints? Add them one at a time; for example, change 200 to 215, then 180 to 195, etc