The Director of Finance shall, with the approval of the Governor, establish and promulgate rules and regulations with respect to the manner of performance of all functions and duties of the Department of Finance, the execution of the business of the department and its relations to and business with the other departments, boards, bureaus, commissions, agencies, offices and institutions of the state, the officers and employees thereof, the counties, municipal corporations, political subdivisions and local public bodies in the state, the officers and employees thereof, and the public, which rules and regulations shall be reasonably calculated to effect the expeditious and efficient performance of such functions and duties and shall not be in conflict with applicable statutes. When approved by the Governor, such rules and regulations shall have the effect of law and shall govern all departments, boards, bureaus, commissions, agencies, offices and institutions of the state and the officers and employees thereof, the counties, municipal corporations, political subdivisions and local public bodies in the state, the officers and employees thereof, and the public, in their respective relations to and business with the Department of Finance. Compliance with any such rules or regulations may be compelled by mandamus. Such rules and regulations may be amended from time to time, with the approval of the Governor. Anything herein to the contrary notwithstanding, the Department of Finance shall have no power to adopt any rule which shall impose any mandatory duties upon counties, municipal corporations, political subdivisions and local public bodies, including county and city boards of education and district boards of education of independent school districts, other than such mandatory duties as may be imposed upon them by law.