The Bread Box, a small neighborhood bakery, sells four main items: sweet rolls, bread, cakes, and pies. The amount of each ingredient (in cups, except for eggs) required for these items is given by matrix A.

The cost (in cents) for each ingredient when purchased in large lots or small lots is given by matrix B.

(a) Use matrix multiplication to find a matrix giving the comparative cost per bakery item for the two purchase options.

(b) Suppose a day’s orders consist of 20 dozen sweet rolls, 200 loaves of bread, 50 cakes, and 60 pies. Write the orders as a 1 × 4 matrix, and, using matrix multiplication, write as a matrix the amount of each ingredient needed to fill the day’s orders.

(c) Use matrix multiplication to find a matrix giving the costs under the two purchase options to fill the day’s orders.

Flour Sugar Shortening Eggs Milk Rolls (doz) 1 1 Bread (loaf) 3 = A 1 Cake 1 3 Pie (crust) Cost Large Lot Small Lot Eggs 5 5 Flour 10 Sugar 10 12 Shortening 12 15 Milk 5 6.