Question 1418 – Engineering-Mathematics

Use Dual Simplex Method to solve the following problem :

Maximize z = -2x₁ – 3x₂
subject to:
x₁ + x₂ ≥ 2
2x₁ + x₂ ≤ 10
x₁ + x₂ ≤ 8
x₁, x₂ ≥ 0

Correct Answer: C

Question 696 Explanation:

→ One simple method is substitute the option values in the maximize equation Z to know the maximum value of the problem and remaining equations to satisfies the conditions which are given in the problem statement.
→ Option 3 satisfies all conditions and maximize property in the given problem

x₁ = 6, x₂ = 2 and z = -18

x₁ = 2, x₂ = 6 and z = -22

x₁ = 2, x₂ = 0 and z = -4

x₁ = 0, x₂ = 2 and z = -6

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