he Healthy Pet Food Company manufactures two types of dog food: Meaties and Yummies. Each package of Meaties,

$,$ contains

pounds of cereal and

pounds of meat; each package of Yummies,

$,$ contains

pounds of cereal and

pounds of meat. Healthy believes it can make a

of profit on the sale of each package of Meaties, and

of profit on the sale of each package of Yummies. At the same time, Healthy is limited in several ways. First, Healthy can buy only up to

pounds of cereal each month, and it can buy only up to

pounds of meat each month. In addition, a special piece of machinery is required to make Meaties, and this machine has a capacity of

packages per month. The company would like to maximize its monthly profit.