In: Advanced Math
Formulate the situation as a system of linear equations. Be sure
to state clearly the meaning of each variable. Solve using the
Gauss-Jordan method. State your final answer in terms of the
original question. (If the system is inconsistent, answer
INCONSISTENT. If the system is dependent, parametrize the solutions
in terms of the parameters u and v.)
A large commercial farm needs 38,000 pounds of potash, 73,000
pounds of nitrogen, and 27,000 pounds of phosphoric acid. Three
brands of fertilizer, GrowRite, MiracleMix, and GreatGreen, are
available and contain the amounts of potash, nitrogen, and
phosphoric acid per truckload listed in the table. How many
truckloads of each brand should be used to provide the required
potash, nitrogen, and phosphoric acid?
x1 | =___________ | truckloads of GrowRite |
x2 | = ___________ | truckloads of MiracleMix |
x3 | = ___________ | truckloads of GreatGreen |
(Pounds per truckload) |
GrowRite | MiracleMix | GreatGreen |
Potash | 400 | 600 | 700 |
Nitrogen | 500 | 1000 | 1600 |
Phosphoric acid | 300 | 400 | 500 |
Hello
PFA
Answers: 20,15,30.
Please let me know if you need more explanation.
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