Riker Co Is Considering Which of Four Different Projects to Undertake

question 11

Multiple Choice

Riker Co. is considering which of four different projects to undertake in order to maximize its net present value (NPV) . Define X_i as a binary (0-1) 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.
Project Net Present Value Capital Required
1 60 7
2 50 10
3 40 6
4 20 3
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) X₁ + X₂ ≤ 1, and X₁ + X₃ ≤ 1, and X₁ + X₄ ≤ 1
• B) X₁ ≥ 1, and X₂ + X₃ + X₄ ≥ 1
• C) X₁ + X₂ ≥ 1, and X₁ + X₃ ≥ 1, and X₁ + X₄ ≥ 1
• D) X₁ ≥ 1, and X₂ + X₃ + X₄ ≤ 3
• E) X₁ + X₂ + X₃ + X₄ ≥ 2

Recognize the global scarcity of water resources and its effects on different continents.

Identify systemic barriers to recycling and efforts to combat climate change.

Grasp the historical levels of greenhouse gas emissions and their connection to global warming.

Comprehend the global impact of air pollution and its health implications.

---

Definitions:

CAD

Computer-Aided Design, technology used by engineers, architects, and designers to create precision drawings or technical illustrations.

CAM

Computer-Aided Manufacturing, a technology that uses computer software and machinery to automate the manufacturing process, improving efficiency and precision.