Q1: Lawnco produces three grades of commercial fertilizers. A 100-lb bag of grade-A fertilizer contains 18 lb of nitrogen, 4 lb of phosphate, and 5 lb of potassium. A 100-lb bag of grade-B fertilizer contains 20 Ib of nitrogen and 4 lb each of phosphate and potassium. A 100-b bag of grade-C fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium. How many 100-lb bags of each of the three grades of fertilizers should Lawnco produce if 26,400 Ib of nitrogen, 4900 lb of phosphate, and 6200 lb of potassium are available and all the nutrients are used? Note: Develop the linear system of equations from the above theory and solve the system by Gauss Elimination Method

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter7: Rational Expressions And Functions
Section7.5: Solve Applications With Rational Equations
Problem 7.88TI: For every 1 kilogram (kg) of a child’s weight, pediatricians prescribe 15 milligrams (mg) of a fever...
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Q1: Lawnco produces three grades of commercial fertilizers. A 100-lb bag of grade-A fertilizer
contains 18 lb of nitrogen, 4 lb of phosphate, and 5 lb of potassium. A 100-lb bag of grade-B
fertilizer contains 20 Ib of nitrogen and 4 lb each of phosphate and potassium. A 100-b bag
of grade-C fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium. How
many 100-lb bags of cach of the three grades of fertilizers should Lawnco produce if 26,400
Ib of nitrogen, 4900 lb of phosphate, and 6200 lb of potassium are available and all the
nutrients are used?
Note: Develop the linear system of equations from the above theory and solve the system by
Gauss Elimination Method
Transcribed Image Text:Q1: Lawnco produces three grades of commercial fertilizers. A 100-lb bag of grade-A fertilizer contains 18 lb of nitrogen, 4 lb of phosphate, and 5 lb of potassium. A 100-lb bag of grade-B fertilizer contains 20 Ib of nitrogen and 4 lb each of phosphate and potassium. A 100-b bag of grade-C fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium. How many 100-lb bags of cach of the three grades of fertilizers should Lawnco produce if 26,400 Ib of nitrogen, 4900 lb of phosphate, and 6200 lb of potassium are available and all the nutrients are used? Note: Develop the linear system of equations from the above theory and solve the system by Gauss Elimination Method
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