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 85 units of farm products and 7 units of farm machinery are desired, find the gross production of each industry. products      units machinery      units

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 65E
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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 85 units of farm products and 7 units of farm machinery are desired, find the gross production of each industry.

products      units
machinery      units
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