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Show The projected change in the output of the j1" sector, dXj, ( 1963 to 1975) is a function of the independently projected change in the final demand vector, dD. As mentioned in section IV of this paper, final demand projections were made in several categories; i. e., ( 1) ( 2) ( k) ( r) dD = dD + dD+, . . ., + dD where dD r = 1, 2, . . ., k, is the independently projected change in the final demand for the rtn commodity. From ( 19) it follows that: ( 25) dX =( l- AWr) r and n ( 26) dXj( r)=^ AijdDi( r). hi Also, it follows that: n ( 27) dx( r>=^> dXj( r) and k ( 28) dxj= J^ dxj( r). The change in water intake as a function of the output of the jtn sector is: ( 29) dWj = VXjdXj and ( 30) dW( r)=* 5jVjdXj< r>. JH Finally, we see that: n ( 31) dW= 5| VijdXj. > 1 18 |