(1 point) A dietitian is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods containing these nutrients will be used. The amount of each nutrient, in milligrams, found in one unit of each food is given in the table below, along with the dietary requirements. Nutrient Food 1 Food 2 Food 3 Total Required (mg) Vitamin C 30 45 30 367.5 Calcium 10 35 20 217.5 Magnesium 40 70 60 605 (a) Write the augmented matrix for this problem: (b) What quantity of Food 1 is necessary to meet the dietary requirements? Answer: units (c) What quantity of Food 2 is necessary to meet the dietary requirements? Answer: units (d) What quantity of Food 3 is necessary to meet the dietary requirements? Answer: units