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