Question 349961: Please help me with this, same question is on the test tomorrow according to the prof. Thank you so much
Solve using Gauss-Jordan Elimination: As the school psychologist, you are consulting with the staff nutritionist about one of your student's low energy and propensity for minor illness. the nutritionist has suggested a daily routine of 350 units of vitamin C, 4200 units of Vitamin A, and 400 units of Vitamin D. She also recommends the following sources of these vitamins: Megadose Supra contains 50 units of C, 1000 units of A, and 100 units of D per capsule. Crazy Caps contains 100 units of C, 200 units of A, and 100 units of D. Formula I contains 50 units of C, 500 units of A and no Vitamin D per capsule. How many of each capsule should the student take to get the recommended dosages?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve using Gauss-Jordan Elimination: As the school psychologist, you are consulting with the staff nutritionist about one of your student's low energy and propensity for minor illness. the nutritionist has suggested a daily routine of 350 units of vitamin C, 4200 units of Vitamin A, and 400 units of Vitamin D.
She also recommends the following sources of these vitamins:
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Megadose Supra contains 50 units of C, 1000 units of A, and 100 units of D per capsule.
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Crazy Caps contains 100 units of C, 200 units of A, and 100 units of D.
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Formula I contains 50 units of C, 500 units of A and no Vitamin D per capsule.
How many of each capsule should the student take to get the recommended dosages?
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Equations:
Vitamin C equation: 50M + 100C + 50F = 350
Vitamin A equation: 1000M + 200C + 500F = 4200
Vitamin D equation: 100M + 100C + 0F = 400
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Solve the system of equation using Gauss-Jordan
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I get:
M = 3
C = 1
F = 2
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Cheers,
Stan H.
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Answer by solver91311(24713)  (Show Source):
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