Reference no: EM132226580
DietRite is a diet meal producer that produces frozen entrees for distribution to weight management centers in California. The entrees are required to have specific nutritional content to ensure that clients have a balanced diet. One new entrée will be a “chicken kiev dinner.” The main ingredients are chicken, spinach, panko bread crumbs and eggs. The nutritional information for each ingredient and its cost are given in the following table.
Chicken Spinach Bread crumbs Eggs Cost $.20 per ounce $.03 per ounce $.05 per ounce $.18 per egg
Calories 41 per ounce 6.9 per ounce 56 per ounce 71 per egg
Fat 1gm per ounce 0.1gm per ounce 1gm per ounce 3gm per egg
Carbs 0gm per ounce 1.1gm per ounce 71gm per ounce 0gm per egg
Protein 28gm per ounce .9gm per ounce 13gm per ounce 12gm per egg
Fiber 0gm per ounce 1.7gm per ounce 1.3gm per ounce 0gm per egg
The nutritional requirements for the entrée are as follows:
• Must have between 250 and 350 calories
• Must have no more than 25 gms of fat
• Must have no more than 40 gms of carbohydrates
• Must have at least 100 gms of protein
• Must have at least 5 gms of fiber
Write the LP formulation to determine the amount of each ingredient that should be included in the entrée.
5. South Central University is planning to buy new copier machines for its library. They are considering two different models: Xrx 239H, a high-speed copier, and Cnn 457L, a lower speed but less expensive model. The Xrx can handle 20,000 copies a day and costs $6,000. The Cnn can handle 10,000 copies a day and would cost $4,000. The library would like to purchase at least six copiers so they can put one on each floor of their six-story building. They also would like to have at least one of the high-speed models. Finally, the copiers must be able to handle a total capacity of at least 75,000 copies per day. \
Write the LP formulation to determine how many copiers of each model South Central should purchase.