A gourmet cook baked two types of cakes chocolate and vanilla to supplement her income each chocolate cake can be sold for $12 and each vanilla cake can be sold for nine dollars. Each chocolate requires 20 minutes of baking time and uses 4 eggs. Each vanilla cake requires 40 minutes of baking time and uses 1 egg. The gourmet cook has 8 hours of baking time and 30 eggs. Determine how the gourmet cook can maximize her profits.