(2) If the mediator is unable to effect settlement of the controversy within ten days after his or her appointment, either party, by written notification to the other, may request that their differences be submitted to fact-finding with recommendations, except that the time for mediation may be extended by mutual agreement between the parties. Within five days after receipt of the aforesaid written request for fact-finding, the parties shall select a person to serve as fact finder and obtain a commitment from that person to serve. If they are unable to agree upon a fact finder or to obtain such a commitment within that time, either party may request the commission to designate a fact finder. The commission, within five days after receipt of such request, shall designate a fact finder in accordance with rules and regulations for such designation prescribed by the commission. The fact finder so designated shall not be the same person who was appointed mediator pursuant to subsection (1) of this section without the consent of both parties. The fact finder, within five days after his or her appointment, shall meet with the parties or their representatives, or both, either jointly or separately, and make inquiries and investigations, hold hearings, and take such other steps as he or she may deem appropriate. For the purpose of such hearings, investigations and inquiries, the fact finder shall have the power to issue subpoenas requiring the attendance and testimony of witnesses and the production of evidence. If the dispute is not settled within ten days after his or her appointment, the fact finder shall make findings of fact and recommend terms of settlement within thirty days after his or her appointment, which recommendations shall be advisory only.