A store has two types of animal feed available. Type A contains 9 kilograms of oats and 1 kilogram of corn per bag. Type B contains 2 kilograms of oats and 5 kilograms of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 62 kilograms of oats and at least 26 kilograms of corn. The store only has 16 bags of type A feed and 13 bags of type B feed in stock. Type A costs $10 per bag, and type B costs $2 per bag. How many bags of each type should the farmer buy to minimize his cost? Note that the ALEKS graphing calculator can be used to make computations easier. Type A feed: | bag(s) Type B feed: I bag(s)

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 store has two types of animal feed available. Type A contains 9 kilograms of oats and 1 kilogram of corn per bag. Type B contains 2 kilograms of oats and 5
kilograms of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 62 kilograms of oats and at least 26 kilograms of
corn. The store only has 16 bags of type A feed and 13 bags of type B feed in stock. Type A costs $10 per bag, and type B costs $2 per bag. How many bags of
each type should the farmer buy to minimize his cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
Type A feed: | bag(s)
Type B feed: bag(s)
Transcribed Image Text:A store has two types of animal feed available. Type A contains 9 kilograms of oats and 1 kilogram of corn per bag. Type B contains 2 kilograms of oats and 5 kilograms of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 62 kilograms of oats and at least 26 kilograms of corn. The store only has 16 bags of type A feed and 13 bags of type B feed in stock. Type A costs $10 per bag, and type B costs $2 per bag. How many bags of each type should the farmer buy to minimize his cost? Note that the ALEKS graphing calculator can be used to make computations easier. Type A feed: | bag(s) Type B feed: bag(s)
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