Purnina produces dog and cat food. Each food is comprised of meat, soybeans and fillers. The company earns a profit on each product but there is a limited demand for them. The pounds of ingredients required and available, profits and demand are summarized in the following table. The company wants to plan their product mix, in terms of the number of bags produced, in order to maximize profit.

Formulate the LP model for this problem. Make sure you put your model in standard form. Then solve this problem using the graphical method.

Make a table that list the corner (extreme points) and the corresponding objective function value.

Profit Bag (S) 7 3 perDemand product Product Dog food Cat food Material available (pounds) 40 30 for Pounds of Pounds of Soybeans Pounds Meat per bag per bag 4 6 5 3 100 120 Filler per bag 4 10 160