The Happy Pet pet food company 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. Profit per Demand for Pounds of Pounds of Pounds of Product Bag ($) product Meat per bag Soybeans per bag Filler per bag Dog food Cat food 4 40 4 6. 4. 30 5. 10 Material available (pounds) 100 120 160 a. Formulate the LP model for this problem. b. Solve the problem using the graphical method.