A county, city-county or multicounty health department shall provide without delay and to the extent that funds designated by such health department for the purchase of vaccines are available the tests and inoculations required by this act to such pupils as are not provided therewith by their parents or guardians and who have not been exempted on religious or medical grounds. Such tests and inoculations may be provided on a sliding fee scale for administrative charges with the exception that no child may be denied inoculations for inability to pay an administrative fee. The local health officer shall counsel and advise school boards concerning the administration of this act.