Using the Simplex Method, answer the questions about the following linear program. Do not solve the problem. Maximize p = 5x + 2y + 4z Subject to: 2x + 2y + 3z ≤ 8 4y + 2z ≤ 6 3x + 2y + 2z ≤ 10 x ≥ 0, y ≥ 0, z ≥ 0 a) What is the initial tableau? Use the table to fill in the tableau. b) What is your first pivot point? Circle your answer in the tableau. c) State the row operations you would perform to clear the first pivot column.
Using the Simplex Method, answer the questions about the following linear program. Do not solve the problem. Maximize p = 5x + 2y + 4z Subject to: 2x + 2y + 3z ≤ 8 4y + 2z ≤ 6 3x + 2y + 2z ≤ 10 x ≥ 0, y ≥ 0, z ≥ 0 a) What is the initial tableau? Use the table to fill in the tableau. b) What is your first pivot point? Circle your answer in the tableau. c) State the row operations you would perform to clear the first pivot column.
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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Using the Simplex Method, answer the questions about the following linear program. Do not
solve the problem.
Maximize p = 5x + 2y + 4z
Subject to: 2x + 2y + 3z ≤ 8
4y + 2z ≤ 6
3x + 2y + 2z ≤ 10
x ≥ 0, y ≥ 0, z ≥ 0
a) What is the initial tableau? Use the table to fill in the tableau.
b) What is your first pivot point? Circle your answer in the tableau.
c) State the row operations you would perform to clear the first pivot column.
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