A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals || and III must be in the ratio of 5 to 2. The amount of nitrogen must be at least 36 kg. The percent of nitrogen in the three chemicals is 7%, 4%, and 3%, respectively. If the three chemicals cost $1.01, $0.86, and $0.65 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 850 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.)

A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals || and III must be in the ratio of 5 to 2. The amount of nitrogen must be at least 36 kg. The percent of nitrogen in the three chemicals is 7%, 4%, and 3%, respectively. If the three chemicals cost $1.01, $0.86, and $0.65 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 850 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.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals Il and II must be in the ratio of 5 to 2. The amount of nitrogen must be at
least 36 kg. The percent of nitrogen in the three chemicals is 7%, 4%, and 3%, respectively. If the three chemicals cost $1.01, $0.86, and $0.65 per kilogram, respectively, how much of each
should be used to minimize the cost of producing at least 850 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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