Question: We're going to prepare a meal using only five different foods. However, the meal needs to provide exact amounts of calories and nutrients. The
We're going to prepare a meal using only five different foods. However, the meal needs to provide exact amounts of calories and nutrients. The following table shows the nutritional values of the five foods (labeled "A" through "E") and the meal's required values. Calories (per ounce) Protein (in grams/ounce) Vitamin C (in mg/ounce) Vitamin B (in mg/ounce) Vitamin D (in mg/ounce) Food A 100 5 10 12 7 Food B 20 6 2 4 9 Food C 50 7 5 10 3 Food D Hints: 1. Use the table to create a system of linear equations. 2. Convert the system to an augmented matrix. 3. Use Python to reduce the augmented matrix to RREF. 4. Print the answer as a vector. 4 5 1 5 Food E 200 3 6 13 10 Required 1200 200 500 600 300 Use Python to determine how many ounces of each food will be needed to exactly meet the meal's required values.
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