Solve each exercise by using the inverse of the coefficient matrix to solve a system of equations. 59. Analysis of Orders The Bread Box Bakery sells three types of cakes, each requiring the amounts of the basic ingredients shown in the following matrix. Type of Cake I II III Flour (in cups) Ingredient Sugar (in cups) Eggs To fill its daily orders for these three kinds of cake. the bakery uses 72 cups of flour, 48 cups of sugar, and 60 eggs. (a) Write a 3 X 1 matrix for the amounts used daily. (b) Let the number of daily orders for cakes be a 3 X 1 matrix X with entries ,.x2. and xy. Write a matrix equation that can be solved for X. using the given matrix and the matrix from part (a). (e) Solve the equation from part (b) to find the number of daily orders for each type of cake