A nutrition center sells health food to mountain-climbing teams. The Trailblazer mix package contains one pound corn cereal mixed with four pounds of wheat cereal. The Frontier mix contains two pounds of corn cereal and three pounds of wheat cereal. The center has 60 pounds of corn cereal and 120 pounds of wheat cereal available. Each Trailblazer package nets $1.20 in profit and each Frontier package nets $1.80 per package. Determine the maximum profit and how many packages of each type should be made to maximize profit.