Example 8: Elasticity of transformation
 
Here we revise the data from previous model so that goods X and Y are each produced by sectors A and B.
 
 
                  Production Sectors          Consumers
   Markets   |    A       B        W    |       CONS
   ------------------------------------------------------
        PX   |   80      20     -100    |
        PY   |   20      80     -100    |
        PW   |                   200    |       -200
        PL   |  -40     -60             |        100
        PK   |  -60     -40             |        100
   ------------------------------------------------------

 

 

On the first line of the production declaration, the "t:" field specifies the transformation elasticity between outputs:  
 

A = f * [ aX(1+j)/j + (1-a)ญญญญY (1+j)j j/(1+j) = F * [ dK(s-1)/ s + (1-d)ญญญญL(s-1)/ s s/(s-1)

 

 

A - production in sector A

X - production of X by sector A

Y - production of Y by sector A

j - elasticity of transformation between Y and X

s - elasticity of substitution between K and L

a and d - share parameters

f and F - shift parameters (technology improvement)