FedEx and UPS are rival delivery services companies. A joke has it that both companies are merging, with the new company to be called “FedUp.”
   
The joke has been cited in print since at least 1993.
   
     
Wikipedia: FedEx 
FedEx Corporation is an American multinational delivery services company headquartered in Memphis, Tennessee. The name “FedEx” is a syllabic abbreviation of the name of the company’s original air division, Federal Express (now FedEx Express), which was used from 1973 until 2000. The company is known for its overnight shipping service and pioneering a system that could track packages and provide real-time updates on package location,
 
Wikipedia: United Parcel Service
United Parcel Service (UPS; stylized as ups) is an American multinational package delivery and supply chain management company.   
         
Google Groups: talk.rumors
UPS FEDEX TO MERGE
Frank Kroger
12/18/93
Hi I’m new to this group so you may have heard this news already.
But…my girl friend was at work when the UPS driver came into the office and announced that UPS was in the final stages of merger talks with Federal Express. It makes sense, they could do all the deliveries and pickups with the bigger UPS trucks and save a lot of overhead. I called the local UPS depot and finally got through to the manager. He confirmed the report and told me the new company will be called FEDUP.
   
Google Groups: rec.humor
Corporate merger announced
Frank Reid
12/20/93
NEWS FLASH—
Federal Express (FedEx) is going to merge with United Parcel Service (UPS).
The new organization will be called FED-UP.
 
Google Groups: rec.humor
Fed-Up
Dick
12/1/96
I heard that Federal Express and UPS are going to merger.
It’s going to be called FED-UP.
 
Google Groups:rec.humor
UPS and Fedex are merging
Carey M. Webster
8/9/97
Did you know that UPS and FEDEX are going to merge together?  This will bring UPS workers back to their job.  They have decided to call them selves
“FED-UP”. 
 
Google Books
Comic Belief
By Charles S. Lowery
Irving, TX: 6Acts Press
2004
Pg. 40:
That reminds me of another merger between Fed Ex and UPS. They would be called Fed Up.
 
Twitter
Doriano Carta
@Paisano
Breaking News: Fedex and UPS merging! Their new name will be Fed-UP!
11:58 AM · Jan 14, 2008·Twitter Web Client
   
Google Books
All Kinds of Humor:
Jokes, Quips, and Fun Stuff for Many Occasions ..., Book 1
By Frank Verano
Xlibris Corporation (Xlibris.com)
2012
Pg. 111:
FedEx and UPS will become FedUp..
   
Reddit—Dadjokes
Posted by u/thenacho1 May 11, 2015
“So, did you hear that FedEx and UPS are going to merge?”
“They’re Fed-UP.”
   
Reddit—FedEx
Posted by u/XvX_Joe_XvX June 22, 2018
If FedEx and UPS were to merge what would the company be called?
A joke I’m tired of hearing
 
Twitter
Aaron Taylor
@AaronTaylorCFB
How perfect would it be if FedEx and UPS merged and called themselves Fed-Up?
12:41 PM · Jan 4, 2019·Twitter for iPhone
 
Twitter
TheHFWarriorBilled cap ( A.K.A Manny )
@TheHFWarrior
Because of the huge increase in deliveries, FedEx and UPS have joined forces and are not Fed-Up.
Hit the Red heart if that made you smile.
10:15 PM · Mar 31, 2020·Twitter for Android