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Riker Co Is Considering Which of 4 Different Projects to Undertake

question 84

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Riker Co. is considering which of 4 different projects to undertake in order to maximize its net present value (NPV) . Define Xi as a binary variable that equals 1 if project i is undertaken and 0 otherwise, for i = 1, 2, 3, 4. The NPV and required capital (in millions) for each project are listed below. Riker Co. is considering which of 4 different projects to undertake in order to maximize its net present value (NPV) . Define X<sub>i</sub> as a binary variable that equals 1 if project i is undertaken and 0 otherwise, for i = 1, 2, 3, 4. The NPV and required capital (in millions)  for each project are listed below.   Which of the following represents the constraint(s)  stating that project 1 must be undertaken and at least one of the other projects must be undertaken? A)  X<sub>1</sub> + X<sub>2</sub> ≤ 1, and X<sub>1</sub> + X<sub>3</sub> ≤ 1, and X<sub>1</sub> + X<sub>4</sub> ≤ 1 B)  X<sub>1</sub> ≥1, and X<sub>2</sub> + X<sub>3</sub> + X<sub>4</sub> ≥ 1 C)  X<sub>1</sub> + X<sub>2</sub> ≥ 1, and X<sub>1</sub> + X<sub>3</sub> ≥ 1, and X<sub>1</sub> + X<sub>4</sub> ≥ 1 D)  X<sub>1</sub> ≥ 1, and X<sub>2</sub> + X<sub>3</sub> + X<sub>4</sub> ≤ 3 E)  X<sub>1</sub> + X<sub>2</sub> + X<sub>3</sub> + X<sub>4 </sub>≥= 2 Which of the following represents the constraint(s) stating that project 1 must be undertaken and at least one of the other projects must be undertaken?

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