Suppose that a certain diet calls for 11 units of fat, 12 units of protein, and 12 units of carbohydrates for the main meal, and suppose that an individual has three possible foods to choose from to meet these requirements: . Food 1: Each ounce contains 1 units of fat, 7 units of protein, and 2 units of carbohydrates. . Food 2: Each ounce contains 5 units of fat, 2 unit of protein, and 4 units of carbohydrates. . Food 3: Each ounce contains 1 unit of fat, 4 units of protein, and 2 units of carbohydrates. Let x, y, and z denote the number of ounces of the first, second, and third foods that the dieter will consume at the main meal. Find a linear system in x, y, and z whose solution tells how many ounces of each food must be consumed to meet the diet requirements. Enter the augmented matrix representing the system by separating its row entries with , (comma) or a space and start a new row by simply pressing return (i.e. add a newline)