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 lb of nitrogen and 4 lb each of phosphate and potassium. A 100-lb 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 lb 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
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 lb of nitrogen and 4 lb each of phosphate and potassium. A 100-lb 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 lb 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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