There are three factories located at Arkansas (AR), Indianapolis (IN), and Texas (TX) respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $18. The weekly demand of the warehouse A and B are respectively 45 and 60 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 24, 28, and 33 units. The cost of transportation per unit is given as below.

Cost	Warehouse A	Warehouse B
AR	5	3
IN	6	6
TX	2	4

To maintain a good relationship with all the factories, warehouse A requires that it receives at least 30% of its product from factory in AR. Realize that it is making good profit in warehouse B, TX requires that at least 35% of its product shipped to warehouse B.

Formulate (without solving) a linear programming problem to maximize the profit.