The Whitewave dairy company produces three-cheese spreads- Aged Cheddar, Brie, and Pecorino. The cheese spreads are packaged in 1.5-pound containers, which are then sold to distributors throughout the Northeast. The Aged Cheddar blend must have at least 65% extra sharp cheddar, the Pecorino blend must contain at least 15% extra sharp cheddar and the Brie blend must contain at least 22% extra sharp cheddar. The company has orders for 1500 containers of Aged Cheddar, 2000 containers of Pecorino and 1000 containers of Brie. This year, a local dairy cooperative offered to provide the three ingredients that will be used in the production process. They can offer up to 200 pounds of ingredient 1 for $1.22 per pound, up to 1800 pounds of ingredient 2 for $1.60 per pound and up to 3200 pounds of ingredient 3 for 1.85 per pound. Ingredient 1 consists of 65% mild cheddar and 35% extra sharp while ingredient 2 consists of 45% mild and 55% extra sharp. Ingredient 3 consists of 22% mild and 78% extra sharp Formulate a Linear Programming model to determine the optimal production plan.