Question:

On Cybertron, we manufacture Autobots, produce energon, and mine metals.

To produce one unit of Autobots, we require $0\mathrm{.}9$ units of energon, and $0\mathrm{.}8$ units of metals.

To produce one unit of energon, we need $0\mathrm{.}01$ units of Autobots, $0\mathrm{.}02$ units of energon, and $0\mathrm{.}03$ units of metals.

To produce one unit of metal, we require $0\mathrm{.}02$ units of Autobots, $0\mathrm{.}2$ units of energon, and $0\mathrm{.}02$ units of metals.

In a production cycle, we can export $9450$ units of Autobots $($sent to the Great War$)$ but we must import $7970$ units of energon and $5670$ units of metals $($both obtained from other planets$).$ Determine the production level of each sector. Submit here only the production level of Autobots.

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