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?
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?
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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Question
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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