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

Question

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 ques 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 29,500 pounds of potash, 57,500 pounds of nitrogen, and 21,000 pounds of phosphoric acid. Three brands of fertilizer, GrowRite, MiracleMix, and GreatGreen, are availabl 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 phosphor truckloads of GrowRite truckloads of MiracleMix truckloads of GreatGreen (Pounds per GrowRite MiracleMix GreatGreen truckload) Potash Nitrogen Phosphoric acid 400 500 300 600 1000 400 700 1600 500

Explanation / Answer

Using the table

we get equations as

400x1 + 600x2 + 700x3 =29500

500x1 + 1000x2 + 1600x3 =57500

300x1 + 400x2 + 500x3 =21000

Use technology to solve them

we get

x1=15

x2=10

x3=25

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