An exotic-animal rancher needs to purchase feed for his unicorns. Unfortunately, commercial unicorn feed is not available. The unicorns require at least 12 milligrams of zinc, 36 grams of protein, and 24 ounces of carbohydrates per day. A small bag of pegasus feed contains 2 milligrams of zinc, 2 grams of protein, and 2 ounces of
carbohydrates, and it costs $25. A small bag of hippogriff feed contains 1 milligram of zinc, 9 grams of protein, and 3 ounces of carbohydrates, and it costs $20. How many bags of each should the farmer purchase in order to supply the unicorns with the required nutrients for the lowest cost, and what is the minimum cost?
