on some Doctrines of Political Economy. 227 



7-" = 1 +J'"' J^ = 1 +^'.= 7 = 1+^, 7 = 1 + -, we have 



1 ^_ (i +p)(i +.yn) 



The increase of quantity in this case is 



ar' + a„r'„-ar = ar {z +u{l +Zn)\. 

 And hence by Axiom 4, we shall have 



w = e{z + u + uz„) ; 



.-. {l-e(s+M+M-;„)} (l+z„) =(l+p)(l+^„). 



Also the same suppositions being made as before, in Art. 22, 

 with respect to the limiting soil, p = m{fx- \)u. Hence, omitting 

 quantities of the order y", we have 



^_ z„-y„- ez 

 e + m (m — 1 ) ■ 



If the increase of capital and produce be the same on the 

 limiting soils as on the average, 



(e - 1) z + w 



This is negative. In general, therefore, with such improve- 

 ments, bad land would be thrown out of cultivation, in con- 

 sequence of the increased produce from good land. But in the 

 course of time, the demand would probably receive a permanent 

 augmentation, which would counteract this effect. 



Here m) = e (3 + m) nearly, = e — — '- '' ~^ . 



Now the rent increases from apr — acq to 

 ap'r + p'anr'„ -aqc - qa„c'„ 

 = apr{l — w) (1 +z)+apru (l—w) (l+Zn)-aqc{l +y) — aqcv{l +y„). - 



F F2 



