SEMAINE D'ÉTUDE SUR LE ROLE DE L’ANALYSE ECONOMETRIOUE ETC. 
003 
From this relation it is possible to demonstrate that real consum- 
ad national income is maximised when the rate of interest : is 
equal to the rate of growth ¢ of primary income (Table III). 
4) It is possible to illustrate the theory by a very general model 
(Table IV). I assume only that the production function is logarithm- 
icallv linear and that the elasticities 
3 
can be considered over very large rang 
independent of # but dependent on 6). 
Thus we derive the expression for real consumed national 
come as 
in 
LR (f) = La?) + 
. A 
a 
la # 
and we can calculate the different macroeconomic quantities 
function of the Laplace transform d(u) of the elasticity B(A) 
particular we finally reach the expressior 
11. 
n 
where y is the capital output ratio C/R, : the rate of interest, p the 
rate of growth of primary income R, (the Services cf Labor and 
national resources), k the coefficient of homogeneity the produc- 
tion function and ®, a constant equal to the vil. “ for i—o 
Roy is the maximum value of R, attained ° 
xy 
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Allais - pag. 297