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September 5th, 2008, 07:04 PM   #1
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help with this gauss elimination problem

A dietitian is planning a meal of beef, corn, and carrots for a patient. The patient needs the meal to contain 75.9 grams of carbohydrate, 47.8 grams of protein and 23.4 grams of fat. The table below shows the number of grams of carbohydrate, protein, and fat in 100 grams of each food. Note that the total does not add to 100 grams due to the water and fiber content of each food. How much of each food should be used to give the patient the needed amount of each nutrient?

Carbohydrate Protein Fat
beef 1C 22P 12F
corn 21C 3P 1F
carrots 8C 1P 0F

I have no idea how I should even put together equations..can someone please help?
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September 6th, 2008, 06:55 PM   #2
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Re: help with this gauss elimination problem

The equations would be

C >= 75.9
P >= 47.8
F >= 23.4
C = a + 21b + 8c
P = 22a + 3b + c
F = 12a + b

Can you take it from here?
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