568 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
algebraical re-arrangement, corresponding to a process of solv- 
ing a system of linear equations: the production coefficients of 
one model turn out to be a linear combination of the produc- 
tion coefficients of the other. 
This can be shown immediately, if goods are expressed in 
physical terms. (A further similar algebraical re-arrangement 
would then be needed for the investment goods if they are to 
be expressed in terms of physical capacities). Thus if we take 
an input-output system, we must state consumption goods 
industries and investment goods industries separately. We can 
then isolate the inter-industry transactions by opening the 
system with respect to the final sector. This means that we 
take as given the final demands, common to both LEONTIEF’S 
and the present model, and drop from the system the last row, 
representing the inputs of the original factor (labour) into each 
industry. 
We obtain: 
(VII) 
Tg 
Corey 
“Cay 
tu 
U; 
U,—1 
where the c;;’s stand for the inter-industry technical coefficients, 
the Z;s for the productions of intermediate commodities, and 
the U;s for the final demands (i,i=1, 2, ..., R- 1). Bv solv- 
ing (VI.I), we arrive at 
(V1.2, 
I Comin 
-T 
TJ. 
U 
U,—1 | 
10] Pasinetti - pag. 08