a nutrition center sells two types of health foods to mountain-climbing teams, Trailblazer Mix and Frontier Mix. Each package of the Trailblazer Mix sells for $9.75. Each package of the Frontier Mix sells for $9.50. The center wishes to maximize its profits this month. However, this month it must operate its business under a few limitations. Specifically, the center only has available 60 pounds of corn cereal and 120 pounds of wheat cereal. The formula for Frontier Mix is 2 pounds of corn cereal and 3 pounds of wheat cereal. How many packages of each health food should the center manufacture in order to maximize the profits? Define the variables, define the objective function, constraint inequalities