Consider the following LP model: max 10x1 + 12x2 + 12x3 s.t. + 2x2 + X2 2x1 + 2x2 x1 2x1 + 2x3 + 2x3 X3 X ≤20 ≤20 <20 ≥ 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following LP model:
max 10x1 + 12x2 +
s.t.
x1
2x1
2x1
+
+
+ X2
+
2x2
+ 2x3
+ 2x3
2x2 + X3
X
12x3
≤20
< 20
< 20
> 0
Use the simplex method and find the optimal solution for this problem. (You need to determine
the objective value, the basic and non-basic variables and their values.)
Transcribed Image Text:Consider the following LP model: max 10x1 + 12x2 + s.t. x1 2x1 2x1 + + + X2 + 2x2 + 2x3 + 2x3 2x2 + X3 X 12x3 ≤20 < 20 < 20 > 0 Use the simplex method and find the optimal solution for this problem. (You need to determine the objective value, the basic and non-basic variables and their values.)
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