Dell Inc. said it got proposals from Blackstone Group LP and Carl Icahn that may be superior to Michael Dell’s $24.4 billion buyout plan, putting more pressure on the founder to sweeten his bid for the computer maker.

Blackstone’s plan values Dell at more than $14.25 a share, while Icahn would pay $15 a share in cash for as much as 58.1 percent of the stock, Dell said today in a statement that included their offers. Under both plans, some shares may continue to be publicly traded. Michael Dell, who proposed $13.65 a share, is willing to work with third parties on the alternative plans, the company said.

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