Find the simplex dictionary using mechanical steps through gaussian elimination, not table form. Consider the following linear optimization model:(P)min_2x₁ +4x2 + 10x3 + 15x4s.t. −x1 + x2 + x3 + 3x4 ≥ 1x1x2 + 2x3 + x4 ≥ 1X1, X2, X3, X4 ≥ 0. Write the simplex dictionary of (P) associated with the optimal basis you identified in Part 2.Starting from the simplex dictionary in Part 3, find an optimal solution to (P) using simplex. Usethe same pivoting rules and present your work in the same format as in Part 2.

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Answered: Consider the following linear…

Consider the following linear optimization model: (P) min 2x₁ +4x2+ 10x3 + 15x4 −x₁ + x2 + x3 + 3x4 ≥ 1 s.t. x1 - x2 + 2x3 + x4 ≥ 1 X1, X2, X3, X4 ≥ 0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section: Chapter Questions

Problem 4PT

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Question

Find the simplex dictionary using mechanical steps through gaussian elimination, not table form.

Consider the following linear optimization model:
(P)
min_2x₁ +4x2 + 10x3 + 15x4
s.t. −x1 + x2 + x3 + 3x4 ≥ 1
x1x2 + 2x3 + x4 ≥ 1
X1, X2, X3, X4 ≥ 0.

Write the simplex dictionary of (P) associated with the optimal basis you identified in Part 2.
Starting from the simplex dictionary in Part 3, find an optimal solution to (P) using simplex. Use
the same pivoting rules and present your work in the same format as in Part 2.

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