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Consider the following linear programming problem. Maximize P = 5x + 7y + 9z subject to the constraints 2x + 3y + z ≤ 900 3x + y + z ≤ 350 4x + 2y + z ≤ 400 x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. Maximize subject to P = x Σ Ο y 20 Ζ ΣΟ ≤900 S ≤350 ≤ 400 (b) Write the initial simplex tableau. W U V P Constant 900 350 400 0

Consider the following linear programming problem. Maximize P = 5x + 7y + 9z subject to the constraints 2x + 3y + z ≤ 900 3x + y + z ≤ 350 4x + 2y + z ≤ 400 x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. Maximize subject to P = x Σ Ο y 20 Ζ ΣΟ ≤900 S ≤350 ≤ 400 (b) Write the initial simplex tableau. W U V P Constant 900 350 400 0

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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Consider the following linear programming problem. Maximize P = 5x + 7y + 9z subject to the constraints 2x + 3y + z ≤ 900 3x + y + z ≤ 350 4x + 2y + z ≤ 400 x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. Maximize subject to P = Χ ΣΟ ΥΣΟ ΖΣΟ X P ≤900 (b) Write the initial simplex tableau. y ≤350 ≤ 400 Z W U P Constant 900 350 400 0
Transcribed Image Text:Consider the following linear programming problem. Maximize P = 5x + 7y + 9z subject to the constraints 2x + 3y + z ≤ 900 3x + y + z ≤ 350 4x + 2y + z ≤ 400 x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. Maximize subject to P = Χ ΣΟ ΥΣΟ ΖΣΟ X P ≤900 (b) Write the initial simplex tableau. y ≤350 ≤ 400 Z W U P Constant 900 350 400 0
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