(Solved): A dietitian is planning a meal plan with two types of foods: Food 1 and Food 2. Each serving of Food ...

A dietitian is planning a meal plan with two types of foods: Food 1 and Food 2. Each serving of Food 1 contains 30 calories from carbohydrates, 5 grams of protein, and 2 grams of fat. Each serving of Food 2 contains 20 calories from carbohydrates, 8 grams of protein, and 4 grams of fat. The dietitian wants the meal plan to contain no more than 300 calories from carbohydrates, at least 40 grams of protein, and no more than 20 grams of fat. Questions: Formulate the system of inequalities based on these constraints. Graph the inequalities and determine the feasible region. What is the minimum number of servings of Food 1 and Food 2 that meet all the dietary constraints?