Q3 Linear programming problem Minimize z = x² + 2x2 z=x, Subject to OC, +302 711, 2x1 + x2 79, X170 3.1). Write the dual problem of the above Primal problem 3.2). Use the Big-mM method to Save the primal problem Q4 4.1). Use the revised simplex meamed to Maximize z = 18x₁ +12x2 + 24×3 Subject to 2x+x+4x3 ≤ 20 3X, +3xz +3×3 ≤25 X; 7,0 Question] 1.1.). Use the graphic method to maximize 4X+ -x+2y ≤4 Subject to 2x x +34 ≤12 4x-4y = 1 12 2,470 1.2). Show by calculations if the famewing thear programming problem is a cycle, if not then pind the Souution, maximize = box, +40x2 Subject to 5x+4x2 ≤6. lox, + 4x2 ≤8, Xi ≥0 Question 2 2.1). Use the simplex algorithm to maximise p = 3x, +2x2, Subject to 2001 +2 ≤8, 1 faxz ≤6, -X + X2 1, 0252 X;70 2.2 Suppose Trepresents changes in the Second constrain in variation. OF T x+2x2 ≤6. Determine the range will maintain the feasibility of the Cument which Solution
Q3 Linear programming problem Minimize z = x² + 2x2 z=x, Subject to OC, +302 711, 2x1 + x2 79, X170 3.1). Write the dual problem of the above Primal problem 3.2). Use the Big-mM method to Save the primal problem Q4 4.1). Use the revised simplex meamed to Maximize z = 18x₁ +12x2 + 24×3 Subject to 2x+x+4x3 ≤ 20 3X, +3xz +3×3 ≤25 X; 7,0 Question] 1.1.). Use the graphic method to maximize 4X+ -x+2y ≤4 Subject to 2x x +34 ≤12 4x-4y = 1 12 2,470 1.2). Show by calculations if the famewing thear programming problem is a cycle, if not then pind the Souution, maximize = box, +40x2 Subject to 5x+4x2 ≤6. lox, + 4x2 ≤8, Xi ≥0 Question 2 2.1). Use the simplex algorithm to maximise p = 3x, +2x2, Subject to 2001 +2 ≤8, 1 faxz ≤6, -X + X2 1, 0252 X;70 2.2 Suppose Trepresents changes in the Second constrain in variation. OF T x+2x2 ≤6. Determine the range will maintain the feasibility of the Cument which Solution
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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Transcribed Image Text:Q3
Linear programming problem
Minimize z = x² + 2x2
z=x,
Subject to
OC, +302 711,
2x1 + x2 79,
X170
3.1). Write the dual problem of the above Primal problem
3.2). Use the Big-mM method to Save the primal problem
Q4
4.1). Use the revised simplex meamed to
Maximize z = 18x₁ +12x2 + 24×3
Subject to
2x+x+4x3 ≤ 20
3X, +3xz +3×3 ≤25
X; 7,0
![Question]
1.1.). Use the graphic method to maximize 4X+
-x+2y ≤4
Subject
to
2x
x +34 ≤12
4x-4y = 1
12
2,470
1.2). Show by calculations if the famewing
thear
programming
problem is a cycle, if not then pind the Souution,
maximize = box, +40x2
Subject to
5x+4x2 ≤6.
lox, + 4x2 ≤8,
Xi ≥0
Question 2
2.1). Use the simplex algorithm to maximise p = 3x, +2x2,
Subject to
2001 +2 ≤8,
1 faxz ≤6,
-X + X2 1,
0252
X;70
2.2 Suppose Trepresents changes in the Second constrain
in variation.
OF T
x+2x2 ≤6. Determine the range
will maintain the feasibility of the Cument
which
Solution](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b9324de-c8d8-48e1-a8b0-b3eb11860634%2Fd0f0c56d-4062-4099-8453-bc5d7941dd0d%2Fdhvim3k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question]
1.1.). Use the graphic method to maximize 4X+
-x+2y ≤4
Subject
to
2x
x +34 ≤12
4x-4y = 1
12
2,470
1.2). Show by calculations if the famewing
thear
programming
problem is a cycle, if not then pind the Souution,
maximize = box, +40x2
Subject to
5x+4x2 ≤6.
lox, + 4x2 ≤8,
Xi ≥0
Question 2
2.1). Use the simplex algorithm to maximise p = 3x, +2x2,
Subject to
2001 +2 ≤8,
1 faxz ≤6,
-X + X2 1,
0252
X;70
2.2 Suppose Trepresents changes in the Second constrain
in variation.
OF T
x+2x2 ≤6. Determine the range
will maintain the feasibility of the Cument
which
Solution
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