The board may enter into agreement with any city or political subdivision of this state to furnish any of its services and facilities, other than factfinding or conciliation services, and the agreement must provide for reimbursement to the state of the cost of the services and facilities furnished. All cities and political subdivisions of this state may enter into the agreements. The board and division shall provide coverage to other agencies or political subdivisions as may by federal laws or regulations be required to be subject to a personnel system in order to obtain federal grants-in-aid. The board and division shall provide coverage to political subdivisions upon the request of the subdivisions. Other agencies, departments, or divisions or positions may be placed under the complete or limited board and division personnel plan in the manner and to the extent the legislative assembly shall by law direct.