Crossword Genius

With all meals provided, the directors obviously don't go hungry! (4,5)

Ross

I believe the answer is:

full board

I'm a little stuck... Click here to teach me more about this clue!

'the directors obviously don't go hungry' is the definition.
I can't tell whether this defines the answer.

'with all meals' is the wordplay.
'with all' becomes 'full' (I can't justify this - if you can you should give a lot more credence to this answer).
'meals' becomes 'board' (I've seen this in another clue).
'full'+'board'='FULL BOARD'

'provided' acts as a link.

Can you help me to learn more?

(Other definitions for full board that I've seen before include "that leaves no room for more notices?" , "Provision of bed, plus all meals" , "Hotel arrangement" , "Provision of bed and all meals at hotel" , "a deal in a hotel?" .)

I've seen this clue in The Irish Independent.
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