SHANGHAI—Electric-car maker Tesla Inc. says it has hit its early production target of 1,000 vehicles a week at its China plant—less than a year after breaking ground at a 210-acre field in Shanghai.

Song Gang, who oversees the production at the factory, said Monday that Tesla can now produce 28 vehicles or more an hour and that it has a 10-hour workday at the Shanghai plant. Mr. Song spoke at an event where Tesla delivered 15 of its first made-in-China Model 3 sedans to customers, all Tesla employees. The company is set to…

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