Nutrients TYPE A TYPE B TYPE C A nutritionist 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 these nutrients per ounce. Nutrients TYPE A TYPE B TYPE C finos Folic acid, mg 3 1 3 CholinE, mg 4 2 4 e use Inositol, mg 3 2 4 o the How much of each food is needed to supply 9 mg of folic acid, 12 mg of choline, an$10 mg of inositol? A.. Set up the augmented matrix of the described linear system. Define all variables to be used. B. Write the coefficient matrix A of the the matrix equation AX = B which is equivalent to the described linear system. C. Solve the problem either using Gauss elimination or LU decomposition