on how best to use it$.$ Formulating a Linear Programming Model eling p Happy Dog Inc. produces three types of dog food. Puppy Blend is produced for dogs that are less than a year old, Adult Blend for dogs between $1$ and $8$ years old, and Geriatric Blend for dogs older than $8$ years. Each blend, sold in $5$ pound bags, has a unique recipe that requires, among other ingredients, exact quantities of certain raw materials. Chicken Fish Meal Soy Flour Demand $($in $5$ lb$,$ bags$)$ Frappy Blend $2\mathrm{.}5$ lbs$.1\mathrm{.}0$ lbs$.0\mathrm{.}5$ lbs$.2,000$ Adult Blend $1\mathrm{.}5$ lbs$.2\mathrm{.}0$ lbs$.0\mathrm{.}5$ lbs$.8,000$ Geriatric Blend Avaliablitity of raw $1\mathrm{.}0$ lbs$.2\mathrm{.}0$ lbs$.1\mathrm{.}0$ lbs$.1,000$ material $10,000$lbs$.20,000$lbs$.5,000$lbs$.$ a$.$ Formulate a linear programming model that produces as much bags of dog food as possible without exceeding the demand or the available supply of raw material.