Problem #2 (20 Points): 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. Plant Building Cost Max Cars Produced Detroit Wentzville Arlington $10,000,000 $5,000,000 $7,000,000 30,000 15,000 25,000 Production Cost/Car by Model Corvair Gremlin $300 $200 $600 $700 $450 $400 Corvairs and Gremlins both sell for $1,000 per car. Formulate an IP that yields a profit maximizing production plan and choice of plants to build