The Board of Appeals and Adjustments is charged with the following duties:
(A) To hear and make recommendations with respect to appeals from any order, requirement, decision, or determination made by the administrative officer of the city in the enforcement of the zoning code.
(B) To hear requests for variances from the literal provisions of the zoning code in instances where their strict enforcement would cause undue hardship because of circumstances unique to the individual property under consideration and to recommend such variances only when it is demonstrated that such actions will be in keeping with the spirit and intent of the zoning code. Provided, however, that neither the Board nor the Council may permit as a variance any use which is prohibited under the zoning ordinance for property in the zones where the affected persons' land is located. The Board or Council, as the case may be, may impose conditions in the granting of variances to insure compliance and to protect adjacent properties.
('72 Code, § 205:10)