Capital Co

question 8

Multiple Choice

Capital Co. is considering 5 different projects. Define X_i as a binary variable that equals 1 if project i is undertaken and 0 otherwise, for i = 1, 2, 3, 4, 5. Which of the following represents the constraint(s) stating that projects 2, 3, and 4 cannot all three be undertaken simultaneously?

• A) X₂ + X₃ + X₄ ≤ 3
• B) X₁ + X₂ + X₃ + X₄ + X₅ ≤ 3
• C) X₂ + X₃ + X₄ ≤ 1
• D) X₂ + X₃ + X₄ ≤ 2
• E) X₂ + X₃ ≤ 1 and X₃ + X₄ ≤ 1

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