ercent of nitrogen in the three chem st $1.06, $0.83, and $0.61 per kilog e cost of producing at least 700 kg cost plant food is made with kg

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 plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the
amounts of chemicals II and III must be in the ratio of 4 to 3. The amount of nitrogen must be at least
60 kg. The percent of nitrogen in the three chemicals is 10%, 6%, and 2%, respectively. If the three
chemicals cost $1.06, $0.83, and $0.61 per kilogram, respectively, how much of each should be used
to minimize the cost of producing at least 700 kg of the plant food?
The minimum cost plant food is made with kg of chemical I, kg of chemical II, and
kg of
chemical III.
(Type integers or decimals. Round to one decimal place as needed.)
Transcribed Image Text:A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 4 to 3. The amount of nitrogen must be at least 60 kg. The percent of nitrogen in the three chemicals is 10%, 6%, and 2%, respectively. If the three chemicals cost $1.06, $0.83, and $0.61 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 700 kg of the plant food? The minimum cost plant food is made with kg of chemical I, kg of chemical II, and kg of chemical III. (Type integers or decimals. Round to one decimal place as needed.)
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