The agency, board, or governmental unit of the state of Idaho designated as the responsible agency for the administration of medical assistance programs which involve the participation of the federal government under the provisions of title XIX of the Social Security Act of 1965, as amended, is authorized to enter into contracts or agreements with life insurance companies qualified in this state, hospital or medical service corporations qualified in this state, or other appropriate independent organizations or corporations for the administration of such medical assistance programs, subject however, to the rules and regulations of the designated responsible governmental agency. Any such contract shall, among other provisions, set forth the term, consideration to be paid for such service, the general duties and procedures of the contract, accounting procedures, and such other matters as may be required to insure the proper administration of the benefits provided by the statutes of Idaho and the rules and regulations authorized therein with reference to the programs established by title XIX of the Social Security Act of 1965, as amended. Such contract shall be signed by the governor of the state of Idaho on behalf of the state.