Sarah Thompson runs a family farm, growing crops and raising pigs for the market. She needs to determine the best combination of different feed types (corn, soybean meal, and barley) for her pigs. The objective is to meet the pigs' nutritional requirements at the lowest cost. Pigs can eat any combination of these feeds. The number of units of each type of basic nutritional ingredient contained within a kilogram of each feed type is given in the following table, along with the daily nutritional requirements and feed costs. Please develop a linear programming model to find the most cost-effective mix of feedsfor Sarah. Clearly define your decision variables, objective function, and constraints. Nutritional Ingredient Kilogram Of Corn Kilogram Of Soybean Meal Kilogram Of Barley Minimum daily Requirement Carbohydrates 90 70 40 250 Protein 30 120 60 200 Vitamins 10 20 60 150 Cost 80 70 60