764 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
and since R and C grow at the rate p while 4 is constant, it 
follows that 
(132-2) 
Ir dR 
R A 
-C 
The relationships derived in part IB naturally remain 
anchanged (§ 120 to 120). 
Growth of Real Consumed National Income 
133. From (117-2) and (131-3) we deduce 
133-1) R(t)=a(tR, (t)] [“e"g(0)a0]'G [5 (6) 
In this relation, a(f) represents the impact of technological 
progress on productivity and we have 
(133-2) 
a(t). + dælt) 
walt) dt 
where 7 (Z) is the rate of growth of technological progress. 
As the functions © (8) and ® (8) are invariant over time, 
we have 
1 dR. dot I dR, (¢ 
(133-3) — —e =—-.— dat) +k (t) 
R. dt alt) di R(t) dt 
11] Allais - pag. 68