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Consider the following problem: Maximize Z = 2x1 + 4x2 - x3,subject to 3x2 - x3 ≤ 30 (resource 1)2x1 - x2 + x3 ≤ 10 (resource 2)4x1 +2x2 - 2x3 ≤ 40 (resource 3)and x1 ≥ 0,x2 ≥ 0,x3 ≥ 0.(a)Work through the simplex method step by step to solve the problem.(b)Identify the shadow prices for the three resources and describe their significance.
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