Question: Exercises 1 Consider the following table indicating the nutritional value of different food types: Price (S) Calories Fat (g) Foods Protein (g) Carbohydrate (g) per

Exercises 1 Consider the following table indicating the nutritional value of different food types: Price (S) Calories Fat (g) Foods Protein (g) Carbohydrate (g) per serving per serving per serving per serving per serving Raw carrots 0.14 23 0.1 Baked potatoes 0.6 0.12 171 02 3.7 30 Wheat bread 0.2 65 0 2.2 13 Cheddar cheese 0.75 112 93 7 Peanut butter 0.15 188 16 7.7 You need to decide how many servings of each food to buy each day so that you mini- mize the total cost of buying your food while satisfying the following daily nutritional requirements: . calories must be at least 2000, . fat must be at least 50g, . protein must be at least 100g, . carbohydrates must be at least 250g. Write an LP that will help you decide how many servings of each of the aforementioned foods are needed to meet all the nutritional requirement, while minimizing the total cost of the food (you may buy fractional numbers of servings)

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