I am pretty much a Ford fan, but i remember reading an article that stated Chrysler had the first "production" EFI system.
here is text from Wikipedia
"The first commercial electronic fuel injection (EFI) system was Electrojector, developed by the Bendix Corporation and was offered by American Motors Corporation (AMC) in 1957.[8][9] The Rambler Rebel, showcased AMC's new 327 cu in (5.4 L) engine. The Electrojector was an option and rated at 288 bhp (214.8 kW).[10] The EFI produced peak torque 500 rpm lower than the equivalent carburetored engine[6] The Rebel Owners Manual described the design and operation of the new system.[11] (due to cooler, therefore denser, intake air[citation needed]). The cost of the EFI option was US$395 and it was available on June 15, 1957.[12] Electrojector's teething problems meant only pre-production cars were so equipped: thus, very few cars so equipped were ever sold[13] and none were made available to the public.[14] The EFI system in the Rambler ran fine in warm weather, but suffered hard starting in cooler temperatures.[12]
Chrysler offered Electrojector on the 1958 Chrysler 300D, DeSoto Adventurer, Dodge D-500 and Plymouth Fury, arguably the first series-production cars equipped with an EFI system. It was jointly engineered by Chrysler and Bendix. The early electronic components were not equal to the rigors of underhood service, however, and were too slow to keep up with the demands of "on the fly" engine control. Most of the 35 vehicles originally so equipped were field-retrofitted with 4-barrel carburetors. The Electrojector patents were subsequently sold to Bosch."
Also found this at
http://www.allpar.com/cars/desoto/electrojector.html Electronically controlled and electrically actuated, the "Electrojector" had a transistor-equipped brain or modulator, about 5 inches in size. The brain took a timed electrical signal from the ignition distributor. It sensed, through tiny electronic transmitting devices located at key points on the engine, the engine's temperature, throttle position, manifold pressure and even the altitude (or density) of the air being sucked into the cylinders. The modulator integrated all of the information received and instantly translated this data into a control signal that actuated the injectors," according to an article in Bendixline, a company newsletter, dated Sept. 28, 1956.
In a 1956 Bendix newsletter, company President Malcolm P. Ferguson announced that fuel injection "will replace the carburetor and improve performance." Nearly 50 years ago, he was truly a visionary, but a trouble-free system would be years away.
Ferguson also said in that issue, "Compared to the latest four-barrel carburetor designed for high performance engines, the 'Electrojector' system provides between 10 and 20 more horsepower — achieved at lower engine rpm-throughout the whole range of speeds, boosts fuel economy, achieves quicker starts and warmups, eliminates the 'smog' problem created by unburned fuel exhausted from the engine and is a system with a minimum of moving parts."
yea i kno... I'm a geek
it also went on to say there is only 1 known restored car having this system originally installed.