A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-lb bag of Fertilizer Acosts $70 and a 50-lb bag of Fertilizer B costs $60, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. Fertilizer A bags Fertilizer B bags What is the minimum cost? $
A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-lb bag of Fertilizer Acosts $70 and a 50-lb bag of Fertilizer B costs $60, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. Fertilizer A bags Fertilizer B bags What is the minimum cost? $
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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A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-lb bag of Fertilizer Acosts $70 and a 50-lb bag of Fertilizer B costs $60, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements.
| Fertilizer A | bags |
| Fertilizer B | bags |
What is the minimum cost?
$
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