Formulate the the situation as a system of linear equations. Solve using the Gauss-Jordan method.
A large commercial farm needs 43,500 pounds of potash, 83,500 pounds of nitrogen, and 31,000 pounds of phosphoric acid. Three brands of fertilizer, Growrite, MiricalMix and GreatGreen, are available and contain the amounts of potash, nitrogen and phosphoric acid per truck load 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
GrowRIte MiracleMix GreatGreen
Potash 400 600 700
Nitrogen 500 1000 1600
Phosphoric Acid 300 400 500