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34<br />
would not be fulfi lLed. We can tarm this as another<br />
consistency condition.<br />
The simplest formula that fuL fiLs the above-mentioned<br />
requirements is<br />
uf t<br />
ui [t) = u 0) ..... (4.12)<br />
u[O]<br />
which increases such u (0) in the same proportion. In the<br />
u {1o)<br />
averaging process, the ratio -----<br />
u(0)<br />
achieved.<br />
becomes one, and consistency is<br />
But it should be noted that the values obtained in this<br />
way ore not to be considered as unique,<br />
because formula [4.12) is<br />
on Ly one of the ony possible formulas that can be thought of, as<br />
we shall see Later.<br />
The , (t) values obtained by formula [4. 12] can be xpected<br />
to be consistent with the TFR target because uft] was derived<br />
from TFR. Dut wE, hove .to check what the corresponding CBR is.<br />
For this purpose, w e use the following formulas:-<br />
N i t= HWA 1 (t [1-s i t).u 1 (t).e (tJ]C (t]<br />
i ai<br />
.[ )t N. (t).ASNFR i t)<br />
1 *1 i<br />
1000<br />
CBR(t) = -- T B(t]<br />
P~t] <br />
Let us assume,<br />
for purposes of avoiding unwarranted optimism, that<br />
the C BR obtained in this way is found to be different from what<br />
has been specified as a target. In that case, either the CBRtarget<br />
or the TFR target needs to ba revised, or, if that raises<br />
other di fficultijs, a way should be found to re-adjust formula<br />
(4.12].<br />
Th or.oticaLly, what we nod is a formula which contains a<br />
n<br />
trend regulator whose values can be adjusted so as to be<br />
consistent not onLy with a TFR target but also with a CBR target.