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 A costs $40 and a 50-lb bag of Fertilizer B costs $30, 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 A costs $40 and a 50-lb bag of Fertilizer B costs $30, 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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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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 A costs $40 and a 50-lb bag of Fertilizer B costs $30, 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 Ib of nitrogen, 2 Ib of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 Ib each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 Ib of nitrogen, 260 lb of phosphorus, and 360 lb of potassium.
If a 50-lb bag of Fertilizer A costs $40 and a 50-lb bag of Fertilizer B costs $30, 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?
$](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe338a2c4-a45d-47a9-98c4-e6b3ade95fa3%2Fa9390df2-23c2-49f4-a031-25bf3de382ad%2Fu19ewc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 Ib of nitrogen, 2 Ib of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 Ib each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 Ib of nitrogen, 260 lb of phosphorus, and 360 lb of potassium.
If a 50-lb bag of Fertilizer A costs $40 and a 50-lb bag of Fertilizer B costs $30, 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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