"Woofer Pet Foods produces a low$-$calorie dog foodfor overweight dogs. This product is made from beefproducts and grain. Each pound of beef costs $$0\mathrm{.}90,$and each pound of grain costs $$0\mathrm{.}60.$ A pound of thedog 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 $2.$ Apound of grain contains $6$ units of Vitamin $1$ and $9$units of Vitamin $2.$ Formulate this as an LP problemto minimize the cost of the dog food. What are the cost and vitamin content of the final product?"