The Lotus Point Condo Project will contain both homes and apartments. The site can accommodate up to 10,000 dwelling units. The project must contain a recreation project: either a swimming-tennis complex or a sailboat marina, but not both. If a marina is built, then the number of homes in the project must be at least triple the number of apartments in the project. A marina will cost $1.2 million, and a swimming-tennis complex will cost $2.8 million. The developers believe that each apartment will yield revenues with a net present value of $48,000, and each home will yield revenues with a net present value of $46,000. Each home (or apartment) costs $40,000 to build. Formulate an integer program to help Lotus Point maximize profits.
The Lotus Point Condo Project will contain both homes and apartments. The site can accommodate up to 10,000 dwelling units. The project must contain a recreation project: either a swimming-tennis complex or a sailboat marina, but not both. If a marina is built, then the number of homes in the project must be at least triple the number of apartments in the project. A marina will cost $1.2 million, and a swimming-tennis complex will cost $2.8 million. The developers believe that each apartment will yield revenues with a
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