Question: During which period the the M88 engines were produced for M1 car?

Context paragraphs:
Aero-engined car: An aero-engined car is an automobile powered by an engine designed for aircraft use.  Most such cars have been built for racing, and many have attempted to set world land speed records.  While the practice of fitting cars with aircraft engines predates World War I by a few years, it was most popular in the interwar period between the world wars when military-surplus aircraft engines were readily available and used to power numerous high-performance racing cars.  Initially powered by piston aircraft engines, a number of post-World War II aero-engined cars have been powered by aviation turbine and jet engines instead.  Piston-engined, turbine-engined, and jet-engined cars have all set world land speed records.  There have also been some non-racing automotive applications for aircraft engines, including production vehicles such as the Tucker 48 and prototypes such as the Chrysler Turbine Car, Fiat Turbina, and General Motors Firebirds.  In the late 20th century and into the 21st century, there has also been a revival of interest in piston-powered aero-engined racing cars.

Norfolk and Western Railway class M: The Norfolk and Western Railway's M, M1 and M2 classes (also known as the "Mastodon-class") were a series of 4-8-0 steam locomotives owned and operated by the Norfolk and Western Railway.  These were the last significant deliveries of 4-8-0s in the United States.  The N&W needed to get coal shipments over a mountain range, and powerful locomotives were needed.  4-8-0s were chosen over 2-8-2s because the 4-8-0 had better adhesive weight.  Thus, in 1906, the first of the most numerous American class of 4-8-0 was contracted and built by Baldwin.  The M1 class only differed from the M in valve gear.  Because the M1's valve gear was poorly designed, there was excessive wear, making it impossible to keep them in alignment and valves properly set.  The M1's were the first to be retired which led to the M2 class engines with a better designed valve gear with less excessive wear.

Nota: Nota Sports and Racing Cars is an automobile manufacturer in Australia.  The company was founded by Guy Buckingham in 1952.  He was an aircraft engineer and used his expertise to build triangulated spaceframed sportscars.  Possibly Australia's first space-framed cars.  In 1958 the company built a series of all-enveloping aluminium streamlined sports cars.  First called "Streamliners", and later called "Mazengarbs".  Up to 1960 eleven of those were made.  In the late 1950s the company produced Formula Junior cars in both front and midengined formats.  Nota also made a series of specialist monoposto racing cars for the track and hill climbing events.  In 1963 the company made a series of Mini powered sports cars.  In 1964 they started production of the Nota Sapphire an alloy bodied sports and coupe designs with Ford Fiat and Coventry Climax engines.  In 1965 Nota started producing Formula Vee cars for Warrick Farm race track making 34 in the first year.  In the 1960s the company formulised their "Sportsman", a Lotus 7 look alike, which they still build today and are now building in a midengined version for the modern day transverse engines which the major car manufacturers produce.  In 1968 came the Nota Fang Chris Buckinghams first real design, a midengined sports car using a Cooper S engine power plant behind the driver but in front of the rear wheels, their most successful model with over 100 being made.  Later the Fang was equipped with Lancia engines, then Toyota engines, finally being fitted with Toyota's V6 Quad cam supercharged engines with over 400BHP.  In 1973 Nota started with their Marauder range of cars using the same mechanicals as the Nota Fang.  At the same time they were making the Nota Levanti front engine twin cam coupe.  In 1975 the supply of Leyland 1275 GT engines started to run out so Nota contacted FIAT and both Marauders and Fangs were made with the 2-litre twin cam FIAT/Lancia engine.

Lotec 681: The Lotec 681 was a sports prototype racing car, built by Lotec in 1981.  Fitted with a BMW M88 straight-six engine, the car had a reasonably successful, albeit very brief, career before it was replaced by the Lotec M1C in 1982.  One car was built.

M1 Combat Car: The M1 Combat Car, officially Light Tank, M1, was a light tank used by the U.S. Cavalry in the late 1930s and developed at the same time as the infantry's very similar M2 light tank.  After the Spanish Civil War, most armies, including the U.S. Army, realized that they needed tanks armed with cannons, not merely vehicles armed with machine guns, and so the M1 became obsolete.

BMW M1: The BMW M1 (E26) was a sports car produced by German automaker BMW from 1978 to 1981.

BMW Nazca C2: The BMW Nazca C2 (also known as Italdesign Nazca C2) was a 1992 concept sports car.  The car was designed by famed automotive engineering company Italdesign, home of Giorgetto Giugiaro, and features a similar frontal design of a BMW.  It was an evolution of the previous concept the Nazca M12 from 1991.  The engine used was a modified version of the 5.0 liter V12 used in the BMW 8 Series tuned by Alpina.  It originally had 380 HP.  The car had a top speed of 193 mi/h .  Three cars in total were produced.  The car's aesthetic features included Semi gull-wing doors, full glass top and all carbon-fiber-reinforced polymer construction.  The car was intended as an official replacement for the BMW M1 super car from the '70s - '80s, but BMW was hesitant at producing another mid-engined super car after the M1 flopped, so they pulled the plug.  BMW allowed ItalDesign to use their name and grill solely on the 3 concept cars built.

BMW S38: The BMW S38 is a straight-6 DOHC petrol engine which replaced the M88 and was produced from 1986-1995.  The S38 was originally produced for North America as an equivalent to the M88 with slightly lower power output.  In 1989, power output of the S38 was increased and it became the worldwide replacement for the M88.

Advanced Engine Research: Advanced Engine Research, Ltd. (commonly known by the abbreviation AER) is an auto racing engine manufacturer based in Basildon, Essex, England.  Established in 1997, AER has developed winning engines for a number of high-profile international race series in sports car, prototype racing, rallying, touring car, and open wheel racing.  They have designed engines derived from road car platforms, but their emphasis is on clean sheet designed engines with a focus on electronics and turbochargers.  Their engines have raced in the 24 Hours of Le Mans, the World Endurance Championship (WEC), the European Le Mans Series (ELMS), the United SportsCar Championship (TUSC), GP3, British Touring Car Championship (BTCC), Nissan/Renault World Series, Grand-Am, Paris Dakar and FIA Sportscar Championship.  They have worked with a number of manufacturers including Mazda, Ford, Hyundai, MG/Rover, Nissan, and Toyota.  In 2012, AER developed and built Formula One turbo test engines to current rules and in July 2012, AER was chosen as engine partner and supplier to the new GP3 racing series.

Paul Rosche: Paul Rosche (1 April 1934 – 15 November 2016) was a German engineer known for his work at BMW.  He is notable for designing the engines of a number of BMW's high-performance models, including the M31 found in the BMW 2002 Turbo, the S14 for the E30 M3, the M12 for the 320i Turbo and the Brabham BT52, the M88 in the M1 and the S70/2 found in the V12 LMR and the McLaren F1.

Supporting paragraphs: Paul Rosche BMW M1
Answer: 1978 to 1981