5.   On Cybertron, we manufacture Autobots, produce energy and extract metals. • To manufacture a unit of Autobots, we need 0.9 units of energy and 0.8 units of metals. • To produce a unit of energy, we need 0.01 units of Autobots, 0.02 units of energy and 0.03 units of metals. • To manufacture a unit of metal, we need 0.02 units of Autobots, 0.2 units of energy and 0.02 units of metals. In a production cycle, we export 6,450 units of Autobots (sent to the Great War) but have to import 5270 units of energy and 3270 units of metals (both obtained from other planets). Determine the level of production of each sector. Submit here only the level of production of the Autobots.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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On Cybertron, we manufacture Autobots, produce energy and extract metals.

• To manufacture a unit of Autobots, we need 0.9 units of energy and 0.8 units of metals.

• To produce a unit of energy, we need 0.01 units of Autobots, 0.02 units of energy and 0.03 units of metals.

• To manufacture a unit of metal, we need 0.02 units of Autobots, 0.2 units of energy and 0.02 units of metals.

In a production cycle, we export 6,450 units of Autobots (sent to the Great War) but have to import 5270 units of energy and 3270 units of metals (both obtained from other planets). Determine the level of production of each sector. Submit here only the level of production of the Autobots.

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