Assignment 1- Due at 11.59PM on 09/16/24 via the D2L Dropbox only 1. The Danone dairy company produces three cheese spreads- Asiago, American and Pecorino. The cheese spreads are packaged in 1.75 pound containers, which are then sold to distributors throughout the Northeast. The Asiago blend must have at least 58% extra sharp cheddar, the Pecorino blend must contain at least 11% extra sharp cheddar and the American blend must contain at least 26% extra sharp cheddar. The company has orders for 3850 containers of Asiago, 2200 containers of Pecorino and 950 containers of American. 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 1700 pounds of ingredient 1 for $2.72 per pound, up to 3800 pounds of ingredient 2 for $3.60 per pound and up to 1900 pounds of ingredient 3 for 2.95 per pound. Ingredient 1 consists of 55% mild cheddar and 45% extra sharp while ingredient 2 consists of 45% mild and 55% extra sharp. Ingredient 3 consists of 22% mild and 78% extra sharp Per pound extra sharp percentage in Asiago at least 58% Formulate a Linear Programming model to determine the optimal production plan.

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Chapter11: Linear Optimization Models
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Assignment 1-
Due at 11.59PM on 09/16/24 via the D2L Dropbox only
1. The Danone dairy company produces three cheese spreads- Asiago, American and Pecorino.
The cheese spreads are packaged in 1.75 pound containers, which are then sold to distributors
throughout the Northeast. The Asiago blend must have at least 58% extra sharp cheddar, the
Pecorino blend must contain at least 11% extra sharp cheddar and the American blend must
contain at least 26% extra sharp cheddar. The company has orders for 3850 containers of
Asiago, 2200 containers of Pecorino and 950 containers of American.
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 1700 pounds of ingredient 1 for $2.72 per pound,
up to 3800 pounds of ingredient 2 for $3.60 per pound and up to 1900 pounds of ingredient 3
for 2.95 per pound. Ingredient 1 consists of 55% mild cheddar and 45% extra sharp while
ingredient 2 consists of 45% mild and 55% extra sharp. Ingredient 3 consists of 22% mild and
78% extra sharp
Per pound extra sharp percentage in Asiago at least 58%
Formulate a Linear Programming model to determine the optimal production plan.
Transcribed Image Text:Assignment 1- Due at 11.59PM on 09/16/24 via the D2L Dropbox only 1. The Danone dairy company produces three cheese spreads- Asiago, American and Pecorino. The cheese spreads are packaged in 1.75 pound containers, which are then sold to distributors throughout the Northeast. The Asiago blend must have at least 58% extra sharp cheddar, the Pecorino blend must contain at least 11% extra sharp cheddar and the American blend must contain at least 26% extra sharp cheddar. The company has orders for 3850 containers of Asiago, 2200 containers of Pecorino and 950 containers of American. 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 1700 pounds of ingredient 1 for $2.72 per pound, up to 3800 pounds of ingredient 2 for $3.60 per pound and up to 1900 pounds of ingredient 3 for 2.95 per pound. Ingredient 1 consists of 55% mild cheddar and 45% extra sharp while ingredient 2 consists of 45% mild and 55% extra sharp. Ingredient 3 consists of 22% mild and 78% extra sharp Per pound extra sharp percentage in Asiago at least 58% Formulate a Linear Programming model to determine the optimal production plan.
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