A biologist has placed three strains of bacteria (denoted I, II and III) in a test tube, where they will feed on three different food sources (A, B and C). Each day 700 units of A, 400 units of B and 500 units of C are placed in the test tube. Each bacteria consumes a certain number of units of each food per day, as shown in the table below (a) (b) Food A Food B Food C Bacteria Strain I 0 5 Bacteria Strain II 1 1 Bacteria Strain II 2 0 Form a system of linear equations based on the above problem. Hence, determine the number of bacteria of each strain that can coexist in the test tube and consume all of the food by using Gauss-Seidel iteration method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A biologist has placed three strains of bacteria (denoted I, II and III) in a test tube, where they will feed
on three different food sources (A, B and C). Each day 700 units of A, 400 units of B and 500 units of C
are placed in the test tube. Each bacteria consumes a certain number of units of each food per day, as
shown in the table below
(a)
(b)
Bacteria
Strain I
0
5
Bacteria
Strain II
1
1
Bacteria
Strain II
2
0
Food A
Food B
Food C
Form a system of linear equations based on the above problem.
Hence, determine the number of bacteria of each strain that can coexist in the test tube and
consume all of the food by using Gauss-Seidel iteration method.
Transcribed Image Text:A biologist has placed three strains of bacteria (denoted I, II and III) in a test tube, where they will feed on three different food sources (A, B and C). Each day 700 units of A, 400 units of B and 500 units of C are placed in the test tube. Each bacteria consumes a certain number of units of each food per day, as shown in the table below (a) (b) Bacteria Strain I 0 5 Bacteria Strain II 1 1 Bacteria Strain II 2 0 Food A Food B Food C Form a system of linear equations based on the above problem. Hence, determine the number of bacteria of each strain that can coexist in the test tube and consume all of the food by using Gauss-Seidel iteration method.
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