Woofer Pet Foods produces a low-calorie dog food

for overweight dogs. This product is made from beef

products and grain. Each pound of beef costs $0.90,

and each pound of grain costs $0.60. A pound of the

dog food must contain at least 9 units of Vitamin 1

and 10 units of Vitamin 2. A pound of beef contains

10 units of Vitamin 1 and 12 units of Vitamin 2. A

pound of grain contains 6 units of Vitamin 1 and 9

units of Vitamin 2. Formulate this as an LP problem

to minimize the cost of the dog food. How many

pounds of beef and grain should be included in each

pound of dog food? What is the cost and vitamin

content of the final product?