Korelsky, V. F. Fish, fishermen and fish industry in Russia / V. F. Korelsky. - Bremen : Krebs, [1993?]-.

Table 2. Dynamics of Production, Labor Productivity and the Number of Personnel in “Sevrybkholodflot,” in percent to 1985 Indexes 1985 1986 1987 1988 1989 1990 Production 100.0 100.0 95.22 93.69 112.20 93.90 Output* 100.0 104.82 100.16 94.32 101.47 92.51 Woikers 100.0 95.40 95.07 99.33 110.58 101.50 *The rounding off is made by the output index (in the second decimal digit). We shall begin with the most simple: How much production would we have in 1986, if the number of walkers decreased but their labor productivity remained the same as in the subsequent year of the preceding five-year period? Since in Table 2 the initial data of Table 1 were reduced to a single dimensionality (percent), the multiplication of the previous level of productivity by the present number of personnel yields the actual volume of production, i.e., 100 x 95.4 = 95.4%. However, the productivity of one worker increased up to 104.82 and, hence, the actual volume of production in 1986 was 104.82 x 95.4 = 100.0%. In the starting 1986, the increase in labor productivity was enough for maintaining the volume of commercial production and reducing the number of personnel. However, such a “reasonable" way of calculation is simple when the changes of labor productivity and of the number of personnel occur in different directions, but is more difficult when both these values decrease, as it was, for instance, in 1987, and becomes very labor-consuming when both the labor productivity and the number of personnel increase simultaneously, as it was in 1989, for instance (see Table 2). Therefore, in order to save time, we use formalized approaches, which make it possible to find the solutions in general form. Let us pay attention to the following fact: Table 2, just as many other tables on the labor economy, is a matrix consisting of three rows and six columns. Every time we shall use the numbers of the columns in this matrix 3 x 6 in size which, in turn, are submatrixes (smaller matrixes) consisting of three rows and only two columns, i.e., 3 x 2 in size. For the period of 1985-1986 or, say, 1988-1989 (adjacent years in the table), we can isolate them as follows: 100.0 100.0 95.22 93.69 112.20 93.90 100.0 104.82 100.16 94.32 101.47 92.51 100.0 95.40 95.07 99.33 110.58 101.50 1985-1986 1988-1989 8 6