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 ____? bagsFertilizer B ____? bagsWhat 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 $30, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements.Fertilizer AbagsFertilizer BbagsWhat is the minimum cost?$

Name: A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A co
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Description: 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

Given: x=50lb bag of A y=50lb bag of B

Answered: A farmer uses two types of fertilizers.…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 37CR

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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?
$

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