of some Doctrines of Political Economy. 211: 



T C 



And without this last supposition, \f i+p = -^— — = the ratio 



of the rate of the produce to the capital on the two last soils, 

 we shall still have 



(1 + w)(i - A-„-,)(i + p) = i, 



•••^' = ^(»+«') = (r=x5(rT7)' 



and if A-„_, = k, (1 + w) (I - A-) (1 + p) = 1 {b). 



By Axiom 4, we shall in general assume m to be a multiple 

 of u, so that w = eu; and ;/ = (i + eu) p. The reasons have been 

 given for supposing e to be about 3. 



If we suppose the price to be inversely as the supply, ac- 

 cording to the hypothesis mentioned in Art. 9, we have 

 p' I 1 



- = :, , .-. 1 +10 = T (C). 



19. For the sake of abbreviation let R represent the whole 

 rent, Q the whole of the return to capital with profit, P the 

 whole price, T the whole tax: and let tR, tQ, tP represent 

 the quantities by which, in consequence of the tax, R, Q, P are 

 increased; which quantities therefore will be negative if those 

 totals are diminished, then, as in Art. 15, 



— tR = arp - ar (1 — u) (1 — k)p' — acqv 



-"^^ ^^^9^ V {A). 



tP = ar {1 ~ u) J)' — arp 



T = kar{\ - u) p' 



Putting here for p' its value (i+a?) p we have 



- TR = arp {\ - [\ —u) {V -^w){\-k)]—ucqv 



-■^^= acqv\^ ^g^ 



tP = arp {{l~u){l +w)-l} 



T = arpk{\ -u) (l+w) 

 dd2 



