"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. How manypounds of beef and grain should be included in eachpound of dog food? What is the minium cost solution for vitamin $1$ and vitamin $2?$