226 Professor Whewell on tlie Mathematical Exposition 



(Ulf I , 1 



= arp}^-w- {w -y„) ti] , 



'^ \v e + m(M— 1) ' j 



the last term is of the order y". 



If we suppose the diminution of the capital requisite, to 



be the same on the lowest soil as on the average, yn=y, and, 



neglecting y", 



increase of rent = aiary \ ; -. -A . 



'^ "^ iv e + miii. — 1)) 



For - , we may put — as in the last article. 



V "" '■ m 



We have similarly, 



increase of profits = acqv = apru = apri/ — —; 



C -r 711 \fx ^ L J 



diminution of price = apr — apr (l + u) (l - w) 



e-1 

 = apry ; r, oraittina: avr.ew. 



^ "^ e + 7M (|U — 1 ) ' ° ' 



The cases in which the improvement would go principally 

 to increase rents, will be the same as those in which a tax on 

 l)rofits goes principally to diminish rents, as in the last Article. 



-36. Let the improvement be "one which requires an in- 

 creased outlay upon the land, but returns an increased quantity 

 of produce, as, for instance, drill husbandry." 



Let c, c„, r, r„ become c', c'„, r', r'„: and let a„ come into 

 cultivation under the improved system. Then, as before, by 

 the conditions of price 



/"•"-, =?c„-i, P'r'n = qc\, 

 p ^ c'„r„.i 



And if for the sake of simplification, we suppose, as in 

 the last Article, 



— = 1 - a>. " "~' = 1 + p, and make 



