Such contracts or agreements shall state the number and rank of the troopers and officers which are to be assigned to police such toll or turnpike facilities but the Kansas turnpike authority shall have the right to prescribe the number and rank of such troopers and officers required. All personnel assigned to police toll or turnpike facilities shall be subject to the control and supervision of the Kansas turnpike authority. The troopers and officers assigned to toll or turnpike facilities may cooperate with the state highway patrol in policing the various highways of the state and the members of the state highway patrol who are not assigned to toll or turnpike facilities may cooperate with the Kansas turnpike authority in policing any toll or turnpike facility.