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In Exercises 1-4, write the simplex tableau for the given linear pro- gramming problem. You do not need to solve the problem. (In each case the objective function is to be maximized.) 3. Objective function: z = 2x₁ + 3x₂ + 4x3 Constraints: x₁ + 2x₂ X₁ ≤12 + x3 = 8 0 X₁, X2, Xz ≥ 4. Objective function: z = 6x₁ - 9x₂ Constraints: 2x₁ - 3x₂ = 6 x₁ + x₂ = 20 X₁, X₂ ≥ 0

In Exercises 1-4, write the simplex tableau for the given linear pro- gramming problem. You do not need to solve the problem. (In each case the objective function is to be maximized.) 3. Objective function: z = 2x₁ + 3x₂ + 4x3 Constraints: x₁ + 2x₂ X₁ ≤12 + x3 = 8 0 X₁, X2, Xz ≥ 4. Objective function: z = 6x₁ - 9x₂ Constraints: 2x₁ - 3x₂ = 6 x₁ + x₂ = 20 X₁, X₂ ≥ 0

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 39E
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In Exercises 1-4, write the simplex tableau for the given linear pro- gramming problem. You do not need to solve the problem. (In each case the objective function is to be maximized.) 3. Objective function: z = 2x₁ + 3x₂ + 4x3 Constraints: x₁ + 2x₂ X1 ≤12 + x3 = 8 X₁, X₂, X3 = 0 4. Objective function: z = 6x₁ - 9x₂ Constraints: 2x₁ - 3x₂ ≤ 6 + x₂ = 20 x₁, x₂ = 0 X₁
Transcribed Image Text:In Exercises 1-4, write the simplex tableau for the given linear pro- gramming problem. You do not need to solve the problem. (In each case the objective function is to be maximized.) 3. Objective function: z = 2x₁ + 3x₂ + 4x3 Constraints: x₁ + 2x₂ X1 ≤12 + x3 = 8 X₁, X₂, X3 = 0 4. Objective function: z = 6x₁ - 9x₂ Constraints: 2x₁ - 3x₂ ≤ 6 + x₂ = 20 x₁, x₂ = 0 X₁
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