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 the following is true? (a) 44,400 lb of nitrogen, 8,300 lb of phosphate, and 10,600 lb of potassium are available and all the nutrients are used. grade A fertilizer bags grade B fertilizer bags grade C fertilizer bags (b) 29,800 lb of nitrogen, 5,800 lb of phosphate, and 6,900 lb of potassium are available and all the nutrients are used. grade A fertilizer bags grade B fertilizer bags grade C fertilizer bags

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 the following is true?

(a) 44,400 lb of nitrogen, 8,300 lb of phosphate, and 10,600 lb of potassium are available and all the nutrients are used.
grade A fertilizer      bags
grade B fertilizer      bags
grade C fertilizer      bags

(b) 29,800 lb of nitrogen, 5,800 lb of phosphate, and 6,900 lb of potassium are available and all the nutrients are used.
grade A fertilizer      bags
grade B fertilizer      bags
grade C fertilizer      bags
 
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