6.   please help help!! Answer with step by step well explained:   On Cybertron, we manufacture Autobots, produce energy and extract metals. • To produce a unit of Autobots, we need 0.6 units of energy and 0.8 units of metals. • To produce a unit of energy, we need 0.1 unit of Autobots, and 0.1 unit of energy. • To produce a unit of metal, we need 0.1 unit of Autobots, 0.2 unit of energy, and 0.1 unit of metals. In a production cycle, we export 6,500 units of Autobots (sent to the Great War) but have to import 4,100 units of energy and 2,000 units of metals (both obtained from other planets). • a) Identify the variables. • b) Give the system of linear equations that connects these variables with the Leontief model. • c) Give the augmented matrix for this problem that will be used to calculate the production levels of the three sectors. • d) Calculate the level of production of the third sector only (here metal).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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please help help!! Answer with step by step well explained:

 

On Cybertron, we manufacture Autobots, produce energy and extract metals.

• To produce a unit of Autobots, we need 0.6 units of energy and 0.8 units of metals.

• To produce a unit of energy, we need 0.1 unit of Autobots, and 0.1 unit of energy.

• To produce a unit of metal, we need 0.1 unit of Autobots, 0.2 unit of energy, and 0.1 unit of metals.

In a production cycle, we export 6,500 units of Autobots (sent to the Great War) but have to import 4,100 units of energy and 2,000 units of metals (both obtained from other planets).

• a) Identify the variables.

• b) Give the system of linear equations that connects these variables with the Leontief model.

• c) Give the augmented matrix for this problem that will be used to calculate the production levels of the three sectors.

• d) Calculate the level of production of the third sector only (here metal).

 

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