[3.28] Consider the following problem: + 2x2 Maximize -3x₁ subject to 2x1 3x2 + 2x2 + -X1 -X1 X1, - x2 x2, x3 - x3 + 2x3 4x3 x3, + + - + X4 ≤ 0 ≤1 X4 8 X4 ≥ 0. X4 3x4 Use the simplex method to verify that the optimal objective value is unbounded. Make use of the final simplex tableau to construct a feasible solution having an objective of at least 3500. Make use of the final tableau to construct a direction d such that cd > 0.
[3.28] Consider the following problem: + 2x2 Maximize -3x₁ subject to 2x1 3x2 + 2x2 + -X1 -X1 X1, - x2 x2, x3 - x3 + 2x3 4x3 x3, + + - + X4 ≤ 0 ≤1 X4 8 X4 ≥ 0. X4 3x4 Use the simplex method to verify that the optimal objective value is unbounded. Make use of the final simplex tableau to construct a feasible solution having an objective of at least 3500. Make use of the final tableau to construct a direction d such that cd > 0.
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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![[3.28] Consider the following problem:
Maximize -3x₁
subject to
2x1
-X1
-X1
X1,
+ 2x2
3x2
+ 2x2
+
x2
x2,
-
x3
x3
+ 2x3
4x3
x3,
-
+1 ++
X4
X4
≤ 0
3x4≤ 1
X4 ≤ 8
X4 2 0.
Use the simplex method to verify that the optimal objective value is unbounded.
Make use of the final simplex tableau to construct a feasible solution having an
objective of at least 3500. Make use of the final tableau to construct a direction
d such that cd > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2b3287a-9e09-4f7a-9855-c4b0263ec0ab%2F4055c9a5-1067-4071-9ec8-2be84221fcd3%2Fz240f7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[3.28] Consider the following problem:
Maximize -3x₁
subject to
2x1
-X1
-X1
X1,
+ 2x2
3x2
+ 2x2
+
x2
x2,
-
x3
x3
+ 2x3
4x3
x3,
-
+1 ++
X4
X4
≤ 0
3x4≤ 1
X4 ≤ 8
X4 2 0.
Use the simplex method to verify that the optimal objective value is unbounded.
Make use of the final simplex tableau to construct a feasible solution having an
objective of at least 3500. Make use of the final tableau to construct a direction
d such that cd > 0.
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