A Veterinarian Has Been Asked to Prepare a Diet for a Group

A veterinarian has been asked to prepare a diet for a group of dogs to be used in a nutrition study at the School of Animal Science. It has been stipulated that each serving should be no larger than 16 oz and must contain at least 58 units of Nutrient I and 40 units of Nutrient II. The vet has decided that the diet may be prepared from two brands of dog food: Brand A and Brand B. Each ounce of Brand A contains 3 units of Nutrient I and 4 units of Nutrient II. Each ounce of Brand B contains 5 units of Nutrient I and 2 units of Nutrient II. Brand A costs 3 cents/oz and Brand B costs 4 cents/oz. Determine how many ounces of each brand of dog food should be used per serving to meet the given requirements at minimum cost.

A) 6 oz of brand A dog food and 6 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 42 cents per serving.
B) 6 oz of brand A dog food and 8 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 50 cents per serving.
C) 2 oz of brand A dog food and 2 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 14 cents per serving.
D) 8 oz of brand A dog food and 8 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 56 cents per serving.
E) 8 oz of brand A dog food and 6 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 48 cents per serving.