Chapter 3.3, Problem 50E

VETERINARY SCIENCE 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 $8\text{oz}$ and must contain at least $29$ units of Nutrient I and $20$ 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 $3\text{cents}/\text{oz}$, and Brand B costs $4\text{cents}/\text{oz}$. Determine how many ounces of each brand of dog food should be used per serving to meet the given requirements at a minimum cost.