有利って聞くとadvantageがすぐに思い浮かびます
副詞ならadvantageouslyかなー

profitably
【adverb】
有利に、もうけ[ため]になるように.
in such a way as to be affording gain, benefit, or profit
:It was several months before the company started to trade profitably (= making money).(C)
:Use your time profitably (= use it to get advantages or benefits).(C)
:to run a business profitably(O)
:He spent the weekend profitably.(O)
:You could have profitably stayed another year.(研)

●Japan Times:Apr 11, 2012
Taiwan, Japan share atomic power dilemma
All have operated safely and profitably for many years while providing nearly 20 percent of the island’s electricity.


●BBC:14 February 2013
American Airlines and US Airways confirm $11bn merger
"The combined airline will have the scale, breadth and capabilities to compete more effectively and profitably in the global marketplace,'' he said in a statement.
"


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