A store has two types of animal feed available. Type A contains  5  pounds of oats and  1  pound of corn per bag. Type B contains  2  pounds of oats and  3  pounds of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least  35  pounds of oats and at least  20  pounds of corn. The store only has  14  bags of type A feed and  15  bags of type B feed in stock. Type A costs  $1  per bag, and type B costs  $4  per bag. How many bags of each type should the farmer buy to minimize her cost?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 5CT: A custom-blend bird seed is made by mixing two types of bird seeds costing $0.75 per pound and $1.25...
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A store has two types of animal feed available. Type A contains 

5

 pounds of oats and 

1

 pound of corn per bag. Type B contains 

2

 pounds of oats and 

3

 pounds of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 

35

 pounds of oats and at least 

20

 pounds of corn. The store only has 

14

 bags of type A feed and 

15

 bags of type B feed in stock. Type A costs 

$1

 per bag, and type B costs 

$4

 per bag. How many bags of each type should the farmer buy to minimize her cost?

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