The supplier against whom a jeopardy determination is made may petition for the redetermination thereof pursuant to Article 6 (commencing with Section 7710). He or she shall, however, file the petition for redetermination with the board within 10 days after the service upon him or her of notice of the determination. At the time of filing the petition for redetermination, the supplier shall deposit with the board such security as it may deem necessary to ensure compliance with this part.