184 Professor Whewell on the 



2. Let it be supposed that prices in any particular employ- 

 ment, as manufactures, are not effected by the tax; therefore 

 t = 0. Therefore 



(1 + m) (1+7') + y'm = 1 + y + 7m; hence 



, 7 ( w + 1)-k ,_ (1+v)(m + 1) 



7 ~ n + l+u '' 1+7 ~" n + \+U 



Hence, substituting, x = (/1 + 1 + w) (1 +y + ym y 



And the equation /(l+*) + (l-/) U + ?) + <( 1 +«) s=1 +*» ? ives ' in 

 this case, fx + t + tu = u, whence 

 t=u — tu— fx 



whence m may be determined by a quadratic, and hence y. 



1 1 \e 1 



Letm = -, ^ = 2, 7 = io>./ = 2> 



f 33 1 



3. Let the proportion of fixed to circulating- capital be, on 

 the average, m, so that ri=m, l = x. 



Then /(l + x) + (l-f)(r+x)+t(l + u) = l +« 

 or tf + tfw + a; = M 



w(l+ 7 ')-(» + l)(7-7') _., 

 I+7+7OT 



If we suppose, moreover, that prices remain the same after 



the tax, 



t 

 x = 0, t + tu=u, u- Y~f- 



