The idiom is "costs of", not "costs to".

Rise is intransitive, meaning it does not take an object. e.g. "I was always taught to rise when answering a questions in class."

Raise is transitive, meaning it takes an object. e.g. "I had to strain to raise the stone lid on the sarcophagus."


"Impel" means to force.

"Impale" means to pierce with a sharp instrument.


"Farther" implies physical distance, "further" means "to a greater extent".

Your sentence should read:

The rising cost of raw materials may impel us to raise prices further.