Width Snapped To A Tick Grid

A model says the economically required half-spread is 0.037, but quotes must sit on a tick grid with tick size 0.01 and the maker may only quote half-spreads that are integer multiples of one tick. To avoid quoting below the required edge, the maker rounds up to the nearest admissible half-spread. What half-spread does it quote, and what is the resulting overcharge (excess above the required 0.037)?