3.Applying view plan theory to China's economy

This section uses an integrated Chinese input-output table that is divided into six sectors for each year.The sectoral classification of fixed capital goods, current goods, and consumption goods is presented in Tables 1 and 2.

3.1 Kantorovich's output quantity path

First, it is assumed that no technical change occurred from 1995 to 1996 and from 1997 to 1999.

From K, A, and F of only brand-new goods, the technical coefficient matrix（i.e., the rectangular input matrix M and the rectangular output matrix B）that contains the aged.fixed capital goods used for the calculation is counted backwards, as follows:

M96=M95, M98=M97, M99=M97, B96=B95, B98=B97, B99=B97

The five-year plan from 1996 to 2000 is considered by making 1995 the initial year. Namely,

Let d（0）注1 be

注1is a row vector of zero.The price of the unit of d（0）is 1012 yuan.

The initial conditions established herein show that the aged fixed capital at the initial time did not exist.

The product ratio of a request of the last term is carried out as follows:

The abovementioned linear programming problem is solved by using a five-term planning）period.By using the quantity-of-output ratio q（t）=Bx（t）, according to age by the optimal solution, the results presented in Table 4 are obtained.

The value of Q∗in Table 4 shows that the ratio of the brand-new fixed capital goods, current goods, and consumption goods of the last term（2000）are produced by the desired ratio a.

3.2 The additional condition in the optimal program:restraint of fixed capital

Fixed capital has the following character:the fixed capital of a zero-year-old at t turns into a fixed capital of a one-year-old at t+1.In other words, the process that equips the fixed capital of i years old at t turns into a production process that equips the fixed capital of i+1 years old at t+1.The following relations will thus be realized if there is no movement in fixed capital between sectors and if each activity level is taken into consideration. Thus, in relation to the fixed capital of a zero-year-old,

is held.Similarly, in the fixed capital of i years old,

must be materialized.This is also the same for the production process of current and consumption goods.These constraints are termed the fixed capital restraints.

The coetficient matrix S of the fixed capital restraint expressed until the last term of a plan can be expressed as,

Therefore, the linear programming problem including the fixed capital restraint is as follows:

The dual problem of（12）is as follows:

Based on the above fixed capital restraints, the calculation result of the quantity of output classified by type is presented in Table 4.

We see that there is no large error in terms of the output ratio compared with the calculation result that does not add the fixed capital restraint from Table 4.For the quantity of output itself, however, it turns out that some reductions are brought about.

3.3 The long-run plan containing a labor resource constraint

This subsection examines the case in which the time shift of the amount of labor resources becomes a constraint.

The amount N（t）of labor supply at the t term is thus given.Since the labor necessary for the t term is Lx（t）,

restricts the labor resources.The labor coefficient in each year is assumed to be as follows:

L96=L95, L98=L97L99=L97

The abovementioned conditions are expressed until the last term of a plan in order to obtain.

Here, a coefficient portion is set to

and this becomes the linear programming problem that is then added to the labor resource con-straint.That is,

The Kantorovich-type quantity-of-output time series, which are classified by type in terms of the labor resource constraint conditions, are shown by in Table 4.

The optimal path in a view plan and the given amount of labor supplies under labor resource constraint conditions are presented in Table 3.

The optimal solution（only brand-new goods）in terms of actual value and the long-run plan by year are presented in Table 4 and Figs.1-3.