OK, so are you saying there are no more than 14,000 cells containing honey, pollen, or bee bread in the deep to feed 18,000 larva, with 42,000 cells taken up with brood. That is less than one cell of food per larva.
A queen can lay 2,000 or more eggs a day, so there can be 42,000 cells with brood or more at any given time.
There are 56,000 cells in 8 deep frames. "approx."