A dietician 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 these foods and the dietary requirements are given in the table below. Nutrient Food 1 Food 2 Food 3 Total Required (mg) Vitamin C 40 60 20 2790 Calcium 20 40 30 2375 Magnesium 40 70 30 3375 Write the augmented matrix for this problem. What quantity (mg) of Food 1 is necessary to meet the dietary requirements? What quantity (mg) of Food 2 is necessary to meet the dietary requirements? What quantity (mg) of Food 3 is necessary to meet the dietary requirements?

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