Suppose a primitive economy consists of two industries, farm products and farm machinery. Suppose also that its technology matrix is represented by the matrix shown below.     P     M   A =    0.6   0.2 0.2   0.4     Products Machinery If surpluses of 80 units of farm products and 5 units of farm machinery are desired, find the gross production of each industry.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.9P
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Suppose a primitive economy consists of two industries, farm products and farm machinery. Suppose also that its technology matrix is represented by the matrix shown below.

   
P     M
 
A = 
 
0.6   0.2
0.2   0.4
 
  
Products
Machinery

If surpluses of 80 units of farm products and 5 units of farm machinery are desired, find the gross production of each industry.

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