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 an NPV of $48,000, and each home will yield revenues with an NPV of $46,000. Each home (or apartment) costs $40,000 to build. Formulate an IP to help Lotus Point maximize profits.

Practical Management Science
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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 an NPV of $48,000, and each home will yield revenues
with an NPV of $46,000. Each home (or apartment) costs
$40,000 to build. Formulate an IP to help Lotus Point
maximize profits.

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