A dog food is to be mixed from three kinds of ingredients: rolled oats, beef parts, and whey. The cost of each is 20 cents, 40 cents, and 35 cents per lb. Each ingredient contains 50, 450, and 200 units of protein and 350, 65, and 100 units of carbohydrate respectively. The minimum daily requirements of protein and carbohydrate are 250 and 300 units respectively.
Find a minimum cost, to the nearest penny, of a mixture which satisfies the minimum daily requirements.
ALSO, How much does such a mixture weigh?