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x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. P= 4x + 5y +7z Maximize subject to 2x+3y +z ≤ 900 3x+y+z ≤ 350 4x + 2y +z ≤ 400 x ≥ 0 y≥0 Z≥O (b) Write the initial simplex tableau.

x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. P= 4x + 5y +7z Maximize subject to 2x+3y +z ≤ 900 3x+y+z ≤ 350 4x + 2y +z ≤ 400 x ≥ 0 y≥0 Z≥O (b) Write the initial simplex tableau.

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