This one does not translate directly from Indonesian. In fact the meaning changes dramatically!
In English if you say something needs high cost then you are saying:
This is like a king who is building a palace that is bigger and better than all of the other palaces owned by all of the other kings.
If you are desperate to use high cost then use it as part of a longer noun phrase:
The preposition phrase of blah blah is probably the most common and gives the strongest collocation:
For example, if you are writing about the high cost of studying abroad then you might say: