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The Osborne 1 is generally considered to be the first true portable computer. It was released in April of 1981 at a price of US$1795. It weighed 23 lbs so it was hardly something you'd want to lug around most places. Its data capabilities were extremely limited and its screen was only 5 inches big. Produced by the Osborne Computer Corporation, this little computer did support basic word processing, spreadsheets, and it had the capability to read several of the early programming languages. To get a feel of its capabilities, these are the specs (from the manual, as posted on the Wiki).
The Osborne 1 was a success at first, selling 10,000 units a month at its high point. However, due to other companies entering the market and some poor timing on announcing their upcoming machines, the Osborne Computer Corporation went bankrupt in 1983.