Question

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) 40,000 lb of nitrogen, 7,600 lb of phosphate, and 9,600 lb of potassium are available and all the nutrients are used.

grade A fertilizer	bags
grade B fertilizer	bags
grade C fertilizer	bags

(b) 24,600 lb of nitrogen, 4,500 lb of phosphate, and 5,700 lb of potassium are available and all the nutrients are used.

grade A fertilizer	bags
grade B fertilizer	bags
grade C fertilizer	bags

Answer 1