A dietitian is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods will be used, their quantities measured in milligrams. The nutrients supplied by one unit of each food and the dietary requirements are given in the table below. Nutrient Food 1 Food 2 Food 3 Total Required (mg) Vitamin C 40 40 80 580 Calcium 50 60 120 845 Magnesium 20 35 60 430 Write the augmented matrix for this problem. Once you have the augmented matrix, use the “RREF” operation of your calculator to answer the following: (1) What quantity (in units) of Food 1 is necessary to meet the dietary requirements? (2) What quantity (in units) of Food 2 is necessary to meet the dietary requirements? (3) What quantity (in units) of Food 3 is necessary to meet the dietary requirements?
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