Priceler produces sedans and wagons. Numbers of vehicles which can be sold each of next 3 months are given in the next table. Every sedan sells for $8,000, and every wagon sells for $9,000. It costs $6,000 to produce the sedan and $7,500 to produce the wagon. To hold the vehicle in inventory for 1 month costs $150 per sedan and $200 per wagon. During every month, at most 1,500 vehicles can be made. Production line restrictions dictate that during month one at least two-thirds of every cars made should be sedans. At the starting of month 1, 200 sedans and 100 wagons are available. Formulate the LP which can be utilized to maximize Priceler's profit during next 3 months.

Month   Sedans    Wagons
1           1,100         600
2          1,500          700
3          1,200           50