Not concise:
Our company has been achieving acceptable growth rates, but the business environment in which we’re immersed may represent some obstacles. Customers are becoming increasingly demanding when it comes to service.
Concise:
Our company has been achieving acceptable growth rates, but customers are increasingly demanding when it comes to service.
Comment:
In this context, the phrase “the business environment in which we’re immersed may represent some obstacles” is just a more general and therefore less memorable way of saying what comes next: “Customers are becoming increasingly demanding when it comes to service.” Remove generalities and get to the point.
Notice that I also changed “are becoming increasingly demanding” to “are increasingly demanding.” The latter expresses the same meaning using fewer words.