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 40,000 pounds of potash, 75,500 pounds of nitrogen, and 28,500 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
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 40,000 pounds of potash, 75,500 pounds of nitrogen, and 28,500 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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 40,000 pounds of potash, 75,500 pounds of nitrogen, and 28,500 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 |
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