Write the dual problem of the following minimum problem. Minimize C = 3x1 + 4x2 subject to the constraints 7x1 + 9x2 25 26 X₂20 11x₁ + 12x₂ X120, O a. O b. O C. O d. Oe. Maximize: P=3y1+4y2 subject to the constraints 7y1+11y2 s5 9y₁+12y2 ≤6 Y₁ ≥ 0, y₂ 20 Maximize: P=5y₁ + 6y2 subject to the constraints 7y1+9y2 ≤3 11y1+12y2 s4 ₁20, ₂20 Maximize: P=3y1+4y2 subject to the constraints 7y₁+12y2 ≤5 9y₁ + 11y2 ≤6 ₁20, V₂20 Maximize: P = 5y₁ + 6y2 subject to the constraints 7y1+11y2 ≤3 9y1+12y2 ≤4 Y120, Y₂20 Maximize: P = 5y₁ + 6y2 subject to the constraints 7y₁+12y2 ≤ 3 9y1+11y2 ≤4 Y120, Y₂20
Write the dual problem of the following minimum problem. Minimize C = 3x1 + 4x2 subject to the constraints 7x1 + 9x2 25 26 X₂20 11x₁ + 12x₂ X120, O a. O b. O C. O d. Oe. Maximize: P=3y1+4y2 subject to the constraints 7y1+11y2 s5 9y₁+12y2 ≤6 Y₁ ≥ 0, y₂ 20 Maximize: P=5y₁ + 6y2 subject to the constraints 7y1+9y2 ≤3 11y1+12y2 s4 ₁20, ₂20 Maximize: P=3y1+4y2 subject to the constraints 7y₁+12y2 ≤5 9y₁ + 11y2 ≤6 ₁20, V₂20 Maximize: P = 5y₁ + 6y2 subject to the constraints 7y1+11y2 ≤3 9y1+12y2 ≤4 Y120, Y₂20 Maximize: P = 5y₁ + 6y2 subject to the constraints 7y₁+12y2 ≤ 3 9y1+11y2 ≤4 Y120, Y₂20
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:Write the dual problem of the following minimum problem.
Minimize C = 3x1 + 4x2 subject to the constraints
7x1 + 9x2 25
26
X₂20
11x₁ + 12x₂
X120,
O a.
O b.
O C.
O d.
Oe.
Maximize:
P=3y1+4y2
subject to the constraints
7y1+11y2 s5
9y₁+12y2 ≤6
Y1 ≥ 0, Y₂20
Maximize:
P=5y₁ + 6y2
subject to the constraints
7y1+9y2 ≤3
11y1+12y2 ≤4
Y₁20, Y₂20
Maximize:
P=3y1+4y2
subject to the constraints
7y₁+12y2 ≤5
9y₁ + 11y2 <6
Y₁20, V₂20
Maximize:
P = 5y₁ + 6y2
subject to the constraints
7y₁+11y2 ≤3
9y1+12y2 ≤4
Y120, Y₂20
Maximize:
P = 5y₁ + 6y2
subject to the constraints
7y₁+12y2 ≤ 3
9y1+11y2 ≤4
Y120, Y₂20
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