In a plant location study, there are two points to be chosen: location A and B. These locations are linked by a road and are 150 km from each other. The raw material for the industry exists only at location A. The freight of the raw material from A to B costs $ 1.00 per quintal per kilometer traveled. The market for the finished products exists only in B. Due to the volume and fragility, the freight of the finished products between A and B costs $1.20 per quintal.

In the process, 10 quintals of raw material produce 5 quintals of finished product. Where should the plant be located?