The resolution adopted as provided in section 32:12-2 of this title shall authorize the commission to prepare the plans and specifications and procure estimates of the cost and maintenance of the bridge or tunnel. The cost to each of the counties of preparing the plans and specifications and procuring such estimates shall be fixed in the resolution, not exceeding however, a cost to each of the counties of the sum of ten thousand dollars, which sum such counties shall agree to become responsible for and pay.

In no event shall a county be bound by any action of its board of freeholders until the board of freeholders, respectively, of two other counties shall have each also adopted the resolution calling for the appointment of the bridge and tunnel commission. If any board of freeholders shall adopt such resolution, the same shall become void unless re-enacted, after a period of six months from its original adoption, in the event that similar resolutions shall not in the meantime have been adopted by two other counties.