Question: A feed company produces a livestock mix from four possible ingredients: corn, peanuts, oats, and a vitamin supplement. The company produces the feed mix in 2,000 pound batches. Corn costs $0.10/lb, peanuts $0.05/lb, oats $0.15/lb, and the vitamin supplement $0.20/lb. Customers require the following criteria to be met:
• The mix must contain at least 30% peanuts.
• The mix cannot contain more than 20% oats.
• Each batch must contain at least 10% vitamin supplement.
• The ratio of corn and oats to peanuts must be at least 3 to 2.
What is the best batch mix that optimizes total cost?