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 $16 million to invest. 
Based on this ILP formulation of the problem what is the optimal solution to the problem? 
Definitions:
Detail Salesperson
A sales professional specialized in providing extensive and meticulous information about a product or service.
Order-Taker
A salesperson whose primary role is to take orders from customers, rather than actively sell or promote products.
Sales Engineer
A professional who leverages technical and engineering expertise to sell complex technological products or services, often requiring customization or significant explanation.
Account Representative
An employee responsible for managing and maintaining the relationship between a business and its clients or customers.
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