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The minimum cost plant food is made with kg of chemical I, kg of chemical II, and (Type integers or decimals. Round to one decimal place as needed.) kg of chemical III.

The minimum cost plant food is made with kg of chemical I, kg of chemical II, and (Type integers or decimals. Round to one decimal place as needed.) kg of chemical III.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 64P
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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 26 kg. The percent of nitrogen in the three chemicals is 8%, 2%, and 4%, respectively. If the three chemicals cost $1.07, $0.81, and $0.63 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 (Type integers or decimals. Round to one decimal place as needed.) kg of chemical III.
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 26 kg. The percent of nitrogen in the three chemicals is 8%, 2%, and 4%, respectively. If the three chemicals cost $1.07, $0.81, and $0.63 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 (Type integers or decimals. Round to one decimal place as needed.) kg of chemical III.
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