Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species consumes 1.2 units each of food I and II, and 2.5 units of food III each day. A bacterium of the second species consumes 1.1 units of food I, 2.3 units of food II, and 3.6 units of food III each day. A bacterium of the third species consumes 8.4 units of 1, 2.7 units of II, and 5.3 units of III each day. If 16,500 units of food I, 27,000 units of food II, and 45,000 units of food III are supplied each day, how many of each species can be maintained in this environment?
Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species consumes 1.2 units each of food I and II, and 2.5 units of food III each day. A bacterium of the second species consumes 1.1 units of food I, 2.3 units of food II, and 3.6 units of food III each day. A bacterium of the third species consumes 8.4 units of 1, 2.7 units of II, and 5.3 units of III each day. If 16,500 units of food I, 27,000 units of food II, and 45,000 units of food III are supplied each day, how many of each species can be maintained in this environment?
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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![**Problem Statement:**
Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species consumes 1.2 units each of food I and II, and 2.5 units of food III each day. A bacterium of the second species consumes 1.1 units of food I, 2.3 units of food II, and 3.6 units of food III each day. A bacterium of the third species consumes 8.4 units of I, 2.7 units of II, and 5.3 units of III each day. If 16,500 units of food I, 27,000 units of food II, and 45,000 units of food III are supplied each day, how many of each species can be maintained in this environment?
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**Solution Format:**
There should be about [BOX] bacteria of the first species, about [BOX] bacteria of the second species, and about [BOX] bacteria of the third species. (Round to the nearest integer as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a4dff8-7f9e-4127-9d1e-ef0349b76ae2%2F8870f8dc-d796-46d0-bae3-e05dfaf7d635%2Fkrpss0q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species consumes 1.2 units each of food I and II, and 2.5 units of food III each day. A bacterium of the second species consumes 1.1 units of food I, 2.3 units of food II, and 3.6 units of food III each day. A bacterium of the third species consumes 8.4 units of I, 2.7 units of II, and 5.3 units of III each day. If 16,500 units of food I, 27,000 units of food II, and 45,000 units of food III are supplied each day, how many of each species can be maintained in this environment?
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**Solution Format:**
There should be about [BOX] bacteria of the first species, about [BOX] bacteria of the second species, and about [BOX] bacteria of the third species. (Round to the nearest integer as needed.)
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