The company said it had received a $55-a-share takeover proposal from the Haft family.
A day earlier, the Haft family offered $55 a share, or $4.3 billion.
The voting stock, class B was owned by members of the Haft family.
Just the day before the Haft family of Washington had proposed buying the company for $55 a share, or $4.3 billion.
The Haft family of Maryland previously offered $55 a share.
If the past is prologue, there were few public signs that the Haft family was falling apart.
The Haft family settled its bitter dispute, which has enthralled Washington.
The Haft family offered to buy Supermarkets General for $1.6 billion in cash, or $41.75 a share.
Dart is the investment arm of the wealthy Haft family.
That followed a $55-a-share offer from the Haft family of Maryland.