A company wants to build a new factory in either Atlanta or Columbia. It is also considering building a warehouse in whichever city is selected for the new factory. The following table shows the net present value (NPV) and cost of each facility. The company wants to maximize the net present value of its facilities, but it only has $15 million to invest.
Formulate the ILP for this problem. 
Definitions:
Relative Advantage
The degree to which a new product, service, or idea is perceived as better than the existing standard by potential adopters.
Trialability
The extent to which an innovation or product can be experimented with on a limited basis before it is fully adopted.
Observability
The degree to which the results of an innovation or change can be seen and understood by others, impacting its acceptance and diffusion.
Intrinsic Motivation
The drive to engage in activities for their own sake and personal rewards, rather than for some external compensation or pressure.
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