SEMAINE D'ÉTUDE SUR LE ROLE DE L’ANALYSE ECONOMETRIQUE ETC. 5: 
x;;, (=I, ..., n) be the volume of output of good 7 (by in- 
dustry 7) in period ¢, and x, (i=1, ..., n; j=0, I, ..., n) the 
volume of current input of good j into industry ¢ in period £, 
where the o-th good stands for the sole primary factor of 
production, ‘labour’. Finally, let s;, (i, j=1, ..., n) be the 
volume of capital input of good j into industry ? in period ?. 
It is assumed that the production function of each industry 
is of the CoBB-DouGLaS type, i.e. 
1) 
MT a n t 
A … 
x, =F, I, HI Set + 
; 
i—=1, .., 7) 
where F;, a;, and b;; are all constant and non-negative. It is 
also assumed that the constant returns to scale prevail, so that 
2) 
ri 
3) 
In each industry, unit cost is to be minimized; furthermore, 
it equals the price of output when competitive equilibrium pre- 
vails. It is well-known that the marginal conditions may be 
put in the form: 
-…., M 
y| Morishima - pag. 3