Here is a reference to the production of 200,000 autos by year end. It was a fed govt authorization.
http://web.bryant.edu/~ehu/h364proj/fall_97/sandoval/index.htm
With the collapse of Germany in 1945, the federal government authorized the production of 200,000 passenger cars. At the same time production limits were lifted, and the city of Detroit started to shift cars as quickly as possible in order to keep up with demand. Automobile manufacturers also ran into many problems. Technical problems specifically the retooling process led to delays in production and also labor problems were present. Despite all these problems assembly lines were moving at full speed. In 1947 the first post-war design was the Studebaker, this car made its dayview in many showrooms around the country.
and here is the 47 Studebaker
https://www.hagerty.com/price-guide/1947-Studebaker-Champion
Regarding auto production, my Dad often told this story. He was a new car salesman at a Ford dealership in 1950 when the father of a friend walked in and offered several hundred dollars below list price for a new Ford. My Dad protested, but the gent insisted he take the offer to the general manager who, to my Dad’s astonishment, accepted it immediately as soon as he learned who had offered it. What had happened is that the man had paid a premium for a car several years earlier during wartime shortages, on condition that the premium would be rebated on a later sale.