NEW YORK (CNN/Money) - Song, the discount airline unit of Delta Air Lines, is giving away Gibson electric guitars and mini-iPod music players as part of a promotion, according to a published report.

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The New York Times reported Tuesday that the low-fare unit of the troubled Atlanta-based carrier will be giving out a Les Paul Junior electric guitar to people who book two round-trip tickets together on the airline between Aug. 1 and Aug. 12, for travel between Sept. 7 and Oct. 6.

Those who book three or more round-trip tickets together will get the mini-iPod from Apple Computer. Those who book only a single ticket will get a 100-song download from Apple's iTunes music service.

The newspaper said the promotion is to be introduced Tuesday.

Song has found it difficult to compete with independent low-fare carriers such as JetBlue, which has a hub at New York's Kennedy International Airport and more flights than Song.

Delta is facing a difficult financial future, with the highest costs in the industry and threats from management that it may file for bankruptcy protections without deep wage concessions from its pilots union.