You Have Formulated a Problem with Three Constraints: (1) 2X₁ $\le$

Multiple Choice

You have formulated a problem with three constraints: (1) 2X₁ + 3X₂ + 4X₃ $\le$ 300; (2) X₁ + X₂ $\ge$ 40; (3) X₁ + X₂ + X₃ = 100.Which of the following states that at least 2 of these 3 constraints must hold? (M = a large value)

A) 2X₁ + 3X₂ + 4X₃ - MY₁ $\le$ 300
X₁ + X₂ - MY₂ $\ge$ 40
X₁ + X₂ + X₃ - MY₃ = 100
Y₁ + Y₂ + Y₃ $\ge$ 2
B) 2X₁ + 3X₂ + 4X₃ - MY₁ $\le$ 300
X₁ + X₂ - MY₂ $\ge$ 40
X₁ + X₂ + X₃ + MY₃ $\ge$ 100
Y₁ + Y₂ + Y₃ $\ge$ 2
C) 2X₁ + 3X₂ + 4X₃ - MY₁ $\le$ 300
X₁ + X₂ + MY₂ $\ge$ 40
X₁ + X₂ + X₃ - MY₃ $\le$ 100
X₁ + X₂ + X₃ + MY₃ $\ge$ 100
Y₁ + Y₂ + Y₃ $\le$ 1
D) 2X₁ + 3X₂ + 4X₃ - MY₁ $\le$ 300
X₁ + X₂ – MY₂ $\ge$ 40
X₁ + X₂ + X₃ – MY₃ $\le$ 100
Y₁ + Y₂ + Y₃ $\le$ 1