The high school band wants to sell two types of cookies, chocolate chip and peanut butter, as a fundraiser. A dozen chocolate chip cookies requires 2 cups of flour and 1 egg. A dozen peanut butter cookies uses 3 cups of flour and 4 eggs. The club has 90 cups of flour and 80 eggs on hand. The profit on the chocolate chip cookies is $1 per dozen and on the peanut butter is $1.50 per dozen. If they want to offer both types of cookies, how many of each cookie should the club make to maximize profits?

Question

The high school band wants to sell two types of cookies, chocolate chip and peanut butter, as a fundraiser.  A dozen chocolate chip cookies requires 2 cups of flour and 1 egg.  A dozen peanut butter cookies uses 3 cups of flour and 4 eggs.  The club has 90 cups of flour and 80 eggs on hand.  The profit on the chocolate chip cookies is $1 per dozen and on the peanut butter is $1.50 per dozen.  If they want to offer both types of cookies, how many of each cookie should the club make to maximize profits?