In every instance of such delegation of power the governing body of the city or county shall require:
(a)
That all members of the public shall be admitted to the gallery or museum at reasonable times, which times shall be specifically approved by the governing body of the city or county.
(b)
That no charges for admission to the gallery or museum shall be made other than such charges as may be determined by the governing body of the city and county to be necessary to defray the cost of operation and maintenance of the gallery or museum; and that all accounts and financial records of the donor or the board of directors or managers nominated by him relating to the operation, management, or maintenance of the gallery or museum shall be subject to such inspection and audit as may be directed by the governing body of the city or county; and
(c)
That all questions involving the determination of policy or the exercise of discretion in the management, operation, maintenance, or regulation of the gallery or museum shall be referred to the governing body of the city or county, together with the recommendations of the donor or the board of directors or managers thereon, for determination by the governing body of the city or county.