Question 687736: A Dietitian is preparing a meal consisting of foods: A,B and C. Each ounce of food A contains 2 units of protein, 3 units of fat, 4 units carbohydrate. Each ounce of food B contains 3 units of protein, 2 units of fat, 1 unit of carbohydrates. Each ounces of food C contains 3 units of protein, 3 units of fat, 2 units of carbohydrates. If the meal must provide exact with 25 units of protein, 24 units of fat and 21 units of carbohydrates. How many ounces of each type of food should be used?
this is my assignment for linear algebra. THANK YOU SO MUCH in advance for the help. :))
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A Dietitian is preparing a meal consisting of foods: A,B and C.
Each ounce of food A contains 2 units of protein, 3 units of fat, 4 units carbohydrate.
Each ounce of food B contains 3 units of protein, 2 units of fat, 1 unit of carbohydrates.
Each ounces of food C contains 3 units of protein, 3 units of fat, 2 units of carbohydrates.
If the meal must provide exact with 25 units of protein, 24 units of fat and 21 units of carbohydrates. How many ounces of each type of food should be used?
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Protein Equation: 2A + 3B + 3C = 25
Fat Equation::::: 3A + 2B + 3C = 24
Carbo Equation::: 4A + B + 2C = 21
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I used a matrix method on my TI-84 to get:
A = 3.2 ounces
B = 4.2 ounces
C = 2 ounces
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Cheers,
Stan H.
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