Suppose that in a certain local economy we have automobiles and aircraft industries. To produce one dollar in output, each industry needs the following input:   The automobiles industry requires $0.4$ from itself and $⁢0.3 from aircraft. The aircraft industry requires $0.2 from automobiles and $⁢0.5 from itself. Suppose further that total production capacity of automobiles is $⁢400 and of aircraft is $⁢500. Find the external demand which can be met. Write the exact answer. Do not round.   $_____ from automobiles $_____ from aircraft

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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Suppose that in a certain local economy we have automobiles and aircraft industries. To produce one dollar in output, each industry needs the following input:
 

  • The automobiles industry requires $0.4$ from itself and $⁢0.3 from aircraft.
  • The aircraft industry requires $0.2 from automobiles and $⁢0.5 from itself.


Suppose further that total production capacity of automobiles is $⁢400 and of aircraft is $⁢500. Find the external demand which can be met. Write the exact answer. Do not round.

 

$_____ from automobiles

$_____ from aircraft

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