Question

In: Advanced Math

Formulate the situation as a system of linear equations. Be sure to state clearly the meaning...

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

Solutions

Expert Solution

Hello

PFA

Answers: 20,15,30.

Please let me know if you need more explanation.

Regards


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