The amount of reimbursement for hospital services is the amount calculated pursuant to § 28-13-32.9. It may not exceed the actual cost of hospitalization as defined in subdivision 28-13-27(1) or an amount established by the secretary of the Department of Social Services, whichever is less. The amount established by the secretary shall be based on medicaid payment methodology. A hospital may not maintain a claim against a county for any amount which exceeds the usual ordinary and reasonable charge for any hospital service, even if the charge is less than the hospital's actual cost of hospitalization. If the hospital furnishes hospital services to medically indigent persons residing in the county in which the hospital is located at rates less than the rates provided for in this section, the hospital shall furnish such hospital services to all medically indigent persons at the same rates.