JBS SA, the world’s largest meat producer, made an unsolicited $5.6 billion offer for Hillshire Brands Co. to put Jimmy Dean sausages and Ball Park hot dogs alongside its Pilgrim’s Price chicken products.

JBS’s Pilgrim’s Pride Corp. unit offered $45 a share, Pilgrim’s said today in a statement. That’s a 25 percent premium to the volume-weighted average price of Hillshire shares over the preceding 10 trading days. Pilgrim’s said its proposed deal would close in the third quarter and be financed with a combination of new debt and existing cash.

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