Operations Research: Integer Programming - Modeling

General Ford is considering constructing new plants in Detroit, Wentzville, and Arlington. Due to political concerns, it can build plants in at most two of three locations. Production and cost information about the prospective plants is listed in the below table. Corvairs and Gremlins both sell for $1,500 per car. Formulate an IP that yields a profit maximizing production plan and choice of plants to build