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PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
TABLE IIT — Main relations 
/ R= RU LE _ R,+:C 
¥ dt 
Ry=R, + R, 
C,=C+C, 
R,= Ce 
(110-1) (110-2) 
(110-3) (110-4) 
(110-5) 
(116-13) 
Production function 
By hypothesis, real consumed income is a functional of the 
primary inputs 
Ro(t)=a(t)F[R, (1) @ (4,017 
k = coefficient of homogeneity of the production func- 
tion (§ 117) 
Case of a quasi-stationary process with p=p (t) 
wo (i-p)e 
Rel)R (0) ofan 
I AR op 1 AC ç(t) (122-3) (123-2) 
R, dt C dat 
R-R Ÿ for : (123-4) (123-12 
Clt)o 2c to ce Or 120 3-4 
) 1-7 a (HP) 
[° Gi-eis 
5R, nv dp(6)e _ 
R,  f“,. (io 
© / wlole "de 
R, maximum for i(t)-p(¢)=0 
— 4 
Re oN —- p lize) 29 _[ig=0] 
Kom 2 d(i-p) 
R.,= maximum value of R 
y 
All these relations except (117-1) are accounting identities 
[relations (110), (112), (123)] or simple consequences of a 
Paretian optimality (relations 12%).