Woofer Pet Foods produces a low calorie dog food for overweight dogs. The product is made from beef and grain. Each pound of beef costs $ 0.90 and each pound of grain costs $ 0.60. A pound of dog food must contain at least 9 units of Vitamin 1 and 10 units of Vitamin 2. A pound of grain contains 6 units of Vitamin 1 and 12 units of Vitamin 2. A pound of beef contains 10 units of Vitamin 1 and 9 units of Vitamin 2.
(i) Formulate this problem as an LP problem to minimize the cost of dog food.
(ii) How many pounds of beef and grain should be included in every pound of dog food?
(iii) What is the cost and vitamin content for each pound of dog food?