In a certain hospital, a nutritionist prepares a menu for patients on low-fat diets. The primary ingredients are chicken and rice. The meal must contain enough protein and iron to meet at least the DOH recommended daily allowance (RDA) for each nutrient. The RDA for protein is 60 grams and 30 milligrams. Each 4-ounce serving of chicken contains 60 grams of protein, 15 milligrams of iron; and 6 grams of fat. Each 1-cup serving of rice contains 12 grams of protein, 9 milligrams of iron, and 3 grams of fat. How much chicken and rice should be included in the meal in order to minimize the amount of fat?   Establish and solve the linear programming model using: 1. Graphical Method and 2. Simplex Method

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In a certain hospital, a nutritionist prepares a menu for patients on low-fat diets. The primary ingredients are chicken and rice. The meal must contain enough protein and iron to meet at least the DOH recommended daily allowance (RDA) for each nutrient. The RDA for protein is 60 grams and 30 milligrams. Each 4-ounce serving of chicken contains 60 grams of protein, 15 milligrams of iron; and 6 grams of fat. Each 1-cup serving of rice contains 12 grams of protein, 9 milligrams of iron, and 3 grams of fat. How much chicken and rice should be included in the meal in order to minimize the amount of fat?

 

Establish and solve the linear programming model using:

1. Graphical Method

and

2. Simplex Method

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