utritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has three types of food available, and each type contains the following amounts of these trients per ounce. Type A Type B Folic acid (mg) 3 4 1 Choline (mg) 1 1 Inositol (mg) 1 1 3 1 (a) Find the inverse of the matrix below and use it to solve the remaining parts of this problem. 3 4 1 1 1 3 1 1 1 -1 -3/2 11/2 1 1 -4 0 1/2 -1/2 T J (b) How many ounces of each food should the nutritionist feed his laboratory rats if he wants their daily diet to contain 20 mg of folic acid, 14 mg of choline, and 8 mg of inositol? Type B Type C OZ OZ OZ (c) How much of each food is needed to supply 11 mg of folic acid, 11 mg of choline, and 5 mg of inositol? Oz Type A Type B Type C OZ OZ (d) Will any combination of these foods supply 2 mg of folic acid, 3 mg of choline, and 1 mg of inositol? required sunnly.