Question

A farmer, who raises livestock, is mixing a feed mix from two different ingredients, A and B. Each bag of ingredient A contributes 3 pounds of the required vitamins and 4 pounds of the required minerals to the feed mix. Each bag of ingredient B contributes 5 pounds of the required vitamins and 2 pounds of the required minerals to the feed mix. The feed mix must contain at least 60 pounds of the required vitamins and 50 pounds of the required minerals. Because of additional nutrients in the ingredients, each batch of feed mix must contain at least 6 bags of each ingredient. A bag of ingredient A costs $30 and a bag of ingredient B costs $40. The farmer wants to know the number of bags of each ingredient to use in the mix that will minimize total cost. Formulate a linear programming model for this problem. Please define your variables clearly.

Answer 1