of some Doctrines of Political Economy. 223 



The whole tax T = ac in — I) s = a rn — — . - ■ 



•^ ' q V 



and thus the portions of it which fall on rent, capital vvitli 

 profits and price, have been obtained. 



The fraction - is known if the diminution of the capital 



employed, and of the produce obtained, be known with reference 

 to the whole. 



Or thus. Let the average capital employed on an acre, be 

 / times the capital employed on the worst soil. 



Hence, c = Ic,^. Also miia = a,„ 



.•. muac =5= la^Cn = Ivac, whence - = — . 



V m 



Let e = 3, m- 4, M = 7 as before, and let I = 2. Then the 

 portions of the tax which fall on rent, capital and jirice, will be 

 respectively as 21, 2, 4. 



In this case also much the largest jiortion falls on rent. 



If profits be 10 per cent., 9 = r^, ^-— = tt • And if the tax 



be 20 per cent, of the profits, s = - . Theiefore we shall have 



o 



I 1 



II "5 1 1 



u = = , zo = 3u = . 



27 1485 ' 495 



Mr. Thompson in his Theory of Rent, p. 33, supposes a 

 case of such piofits and tax, with a diminution of produce of 



-TT- nearly, and of capital employed of -—- nearly. Hence, 



1 OO 1 1 (J 



taking- these numbers 



111 , , M no 2 



""=165 = 55 e + m{,-iy ■■■e + m{f^-^) = 3; and -=^--^- , 



