The lotus point condo project will contain both homes and apartments. the site can accommodateup to 10,000 dwelling units. the project must contain a recreation project: either a swimming-tenniscomplex or a sailboat marina, but not both. if a marina is built, then the number of homes in theproject 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 willyield revenues with a net present value of $48,000, and each home will yield revenues with a net presentvalue of $46,000. each home (or apartment) costs $40,000 to build. formulate an integer program lotus point maximize profits.