Question: Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint: Construct the dual model, find its optimal solution

Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint: Construct the dual model, find its optimal solution without using Simplex Algorithm and utilize the Complementary Slackness Theorem). (LP): max z= 4x1 + 3x2 + 6x3

Subject to

4x1 + x2 + 3x3 30

2x1 + 2x2 + 3x3 40

x1, x2, x3 0

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