EXHIBIT 24B
 
                   SUPERMARKETS GENERAL HOLDINGS CORPORATION
                               POWER OF ATTORNEY
 
    The undersigned, a director of Supermarkets General Holdings Corporation
(the "Company,") a Delaware corporation, which intends to file with the United
States Securities and Exchange Commission, under the provisions of the
Securities Exchange Act of 1934 (the "34 Act"), as amended, each year an Annual
Report on Form 10-K, or such other form appropriate for the purpose, pursuant to
Section 13 or 15(d) of the '34 Act, together with possible amendments thereto,
constitutes and appoints JOSEPH W. ADELHARDT and MARC A. STRASSLER, and each of
them, severally, as true and lawful attorney or attorneys, with full power of
substitution and resubstitution, for him and in his name, place and stead, to
sign in any and all capacities and file or cause to be filed said Annual Report
on Form 10-K, and any and all amendments thereto, and all instruments necessary
or incidental in connection therewith, and hereby grants to the said attorneys,
and each of them, severally, full power and authority to do and perform in the
name and on behalf of the undersigned, and in any and all capacities, any and
all acts and things whatsoever necessary or appropriate to be done in the
premises, as fully and to all intents and purposes as the undersigned might or
could do in person, hereby ratifying and confirming the acts of said attorneys
and each of them.
 
   
    IN WITNESS WHEREOF, the undersigned has hereunto set his hand and seal this
12th day of April, 1996.
    
 
                                                 /s/ ANTHONY J. CUTI
                                          ......................................
 
                                                     Anthony J. Cuti