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subject to 4x₁ + 3x₂ ≥9 3x₁ + 9x2 25 X₁, X₂ 20 subject to 4 y₁+3y2 ≤7 3 y₁ +9y2 ≤ 5 Y₁, Y220 b. Using the slack variables of x₁ and x2, write the initial system for the dual problem. 4 y₁ + 3 y2 + x₁ = 7 3 y₁ + 9 y2 + x2 = 5 -9 y₁ + -5 y2 + P = 0 c. Fill in the initial simplex tableau for the dual problem. У1 У2 X1 X2 X2 P P

subject to 4x₁ + 3x₂ ≥9 3x₁ + 9x2 25 X₁, X₂ 20 subject to 4 y₁+3y2 ≤7 3 y₁ +9y2 ≤ 5 Y₁, Y220 b. Using the slack variables of x₁ and x2, write the initial system for the dual problem. 4 y₁ + 3 y2 + x₁ = 7 3 y₁ + 9 y2 + x2 = 5 -9 y₁ + -5 y2 + P = 0 c. Fill in the initial simplex tableau for the dual problem. У1 У2 X1 X2 X2 P P

Advanced Engineering Mathematics
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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Minimize C= 7x₁ +5x2 subject to 4x₁ + 3x2 ≥9 3x₁ + 9x2 ≥5 X₁, X₂ 20 a. Form the dual problem. Maximize subject to 4 y₁ + 3 y2 ≤7 3 y₁ +9y2 ≤ 5 y₁, y2 ≥0 b. Using the slack variables of x₁ and x2, write the initial system for the dual problem. P = 9 y₁ + 5 Y2 4 Y₁+ + 3 y₂ + x₁ = 7 3 y₁ + 9 y2 + x2 = 5 -9 y₁ + -5 y2 + P = 0 c. Fill in the initial simplex tableau for the dual problem. XA Y₁ Y2 X1 X2 P 17 Cloar all Check answer
Transcribed Image Text:Minimize C= 7x₁ +5x2 subject to 4x₁ + 3x2 ≥9 3x₁ + 9x2 ≥5 X₁, X₂ 20 a. Form the dual problem. Maximize subject to 4 y₁ + 3 y2 ≤7 3 y₁ +9y2 ≤ 5 y₁, y2 ≥0 b. Using the slack variables of x₁ and x2, write the initial system for the dual problem. P = 9 y₁ + 5 Y2 4 Y₁+ + 3 y₂ + x₁ = 7 3 y₁ + 9 y2 + x2 = 5 -9 y₁ + -5 y2 + P = 0 c. Fill in the initial simplex tableau for the dual problem. XA Y₁ Y2 X1 X2 P 17 Cloar all Check answer
subject to 4x₁ + 3x₂ ≥9 3x1 +9x2 25 X1, X₂ 20 subject to 4 y₁+3y₂ ≤7 3 y₁ +9y2 ≤ 5 Y₁, Y220 b. Using the slack variables of x₁ and x2, write the initial system for the dual problem. 4 Y₁ + 3y2 + x₁ = 7 3 y₁ +9y2 + x2 = 5 -9 y₁ +-5 y2 + P = 0 c. Fill in the initial simplex tableau for the dual problem. Y2 X1 X2 P X₁ X2 P Y₁
Transcribed Image Text:subject to 4x₁ + 3x₂ ≥9 3x1 +9x2 25 X1, X₂ 20 subject to 4 y₁+3y₂ ≤7 3 y₁ +9y2 ≤ 5 Y₁, Y220 b. Using the slack variables of x₁ and x2, write the initial system for the dual problem. 4 Y₁ + 3y2 + x₁ = 7 3 y₁ +9y2 + x2 = 5 -9 y₁ +-5 y2 + P = 0 c. Fill in the initial simplex tableau for the dual problem. Y2 X1 X2 P X₁ X2 P Y₁
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