A biologist has 600 kg of nutrient A, 800 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. Q R S 0 37.5 87.5 50 25 12.5 100 50 37.5 Growth 120 110 90 70 Value ABC

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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.5.3-
P|Q|R
0 37.5 87.5
A biologist has 600 kg of nutrient A, 800 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.
0.
50
25
12.5
100 50 37.5
Growth
120 110 90
70
Value
Let x, be the number of kilograms of food type P. Let x, be the number of kilograms of Q. Let x3 be the number of kilograms of R, and let x4 be the nul
What is the objective function?
z = 120 x, + 110 x2 + 90 x3 + 70 x4
Set up the initial simplex tableau for the problem.
X1
X2
X3
X4 S1 S2 S3
.375
.875
0 600
0.5
0.25 0.125
1
0 400
1
0.5 0.375
0 0 0
1 200
- 120-110
- 90
-70
-
(Type an integer or decimal for each matrix element.)
Enter your answer in the edit fields and then click Check Answer.
Clear All
All parts showing
ABC
Transcribed Image Text:.5.3- P|Q|R 0 37.5 87.5 A biologist has 600 kg of nutrient A, 800 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. 0. 50 25 12.5 100 50 37.5 Growth 120 110 90 70 Value Let x, be the number of kilograms of food type P. Let x, be the number of kilograms of Q. Let x3 be the number of kilograms of R, and let x4 be the nul What is the objective function? z = 120 x, + 110 x2 + 90 x3 + 70 x4 Set up the initial simplex tableau for the problem. X1 X2 X3 X4 S1 S2 S3 .375 .875 0 600 0.5 0.25 0.125 1 0 400 1 0.5 0.375 0 0 0 1 200 - 120-110 - 90 -70 - (Type an integer or decimal for each matrix element.) Enter your answer in the edit fields and then click Check Answer. Clear All All parts showing ABC
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