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The Battle for Value, 2004: Fedex Corp. Vs. United Parcel Service, Inc. The Battle for value, 2004: FedEx Corp. VS. United Parcel Service, Inc. One-page Summary: In the case FedEx and UPS both are high strongest package-delivery companies in the U.S and Worldwide. Also FedEx Corporation and United parcel service, Inc., the only U.S all-cargo.