One of your roommates is a senior at Truman. She would like to use some material left over from class she took to create and sell some of her work at the annual art fair on the square. She thinks her best products are vases, which she can make in either large or a small size. Each large vase sells for $18 each and each small vase for $6. Frida believes she can sell whatever she makes. She has 24 pounds of clay and 18 ounces of glaze available. Each large vase requires 4 pounds of clay and 2 ounces of glaze. A small vase can be made with 1 pound of clay and 1 ounce of glaze. She originally paid $1 for a pound of clay and $6 per ounce of glaze and doesn't think she could get more in time for the fair. She is graduating this semester and would have to throw away any unused material. The large and small vases require 1 hour and 0.5 hours to make, respectively. With her schedule, she only has 12 hours to make the vases. Using linear programming, how many of each should she make? How much money will she make? Show the formulation and graph.