A biologist has 400 kg of nutrient A, 600 kg of nutrient B, and 300 kg of nutrient C. These nutrients will be used to make 4 types of food, whose contents (in percent per kilogram of food) and whose 'growth values' are shown on the right. Set up the initial simplex tableau that would be used to determine how many kilograms of each food should be produced in order to maximize total growth. S 062.5 87.5 0 20 12.5 12.5 100 80 25 Growth Value 120 100 90 80 What is the objective tunction? z= 120 x, + 100 x2 + 90 x3 + 80 x4 Set up the initial simplex tableau for the problem. X1 X2 X3 X4 S S2 S3 400 1 0.2 0.125 0.125 1 0.8 0.25 120 100 - 90 - 80 (Type an integer or decimal for each matrix element.) Clear All inter your answer in the edit fields and then click Check Answer. ABC

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 400 kg of nutrient A, 600 kg of nutrient B,
and 300 kg of nutrient C. These nutrients will be used to
make 4 types of food, whose contents (in percent per
kilogram of food) and whose 'growth values' are shown on
the right. Set up the initial simplex tableau that would be
used to determine how many kilograms of each food
should be produced in order to maximize total growth.
P Q
R S
062.5 87.5
0 20 12.5 12.5
25 0
0
C.
100 80
Growth
120 100 90
80
Value
What is the objective tunction?
+80x4
N= 120 x, + 100 x, + 90 X, + 80 x4
+100x2
+90 x3
Set up the initial simplex tableau for the problem
X2
X3
X4 S S2 S3
1 0 0 400
es
0.
0
0
1
0.
0.2 0.125 0.125
0.25
0 0 0
1
0.8
-90
-80
120
-100
(Type an integer or decimal for each matrix element)
Clear All
ry
Enter your answer in the edit fields and then click Check Answer.
incd
Transcribed Image Text:A biologist has 400 kg of nutrient A, 600 kg of nutrient B, and 300 kg of nutrient C. These nutrients will be used to make 4 types of food, whose contents (in percent per kilogram of food) and whose 'growth values' are shown on the right. Set up the initial simplex tableau that would be used to determine how many kilograms of each food should be produced in order to maximize total growth. P Q R S 062.5 87.5 0 20 12.5 12.5 25 0 0 C. 100 80 Growth 120 100 90 80 Value What is the objective tunction? +80x4 N= 120 x, + 100 x, + 90 X, + 80 x4 +100x2 +90 x3 Set up the initial simplex tableau for the problem X2 X3 X4 S S2 S3 1 0 0 400 es 0. 0 0 1 0. 0.2 0.125 0.125 0.25 0 0 0 1 0.8 -90 -80 120 -100 (Type an integer or decimal for each matrix element) Clear All ry Enter your answer in the edit fields and then click Check Answer. incd
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