The
Investment and shares has been established according to modeling with economic
equations that has a certain role in stock market. So Cobb-Douglas function is
used to complete the modelling. The detail establishment and modelling is as
related literature.
The
Cobb-Douglas function is
(1)
Here Production
quantity Q; ? is technique coefficient; ? is producing labour; ? is capital
elasticity. K is capital; L is labour; AFC is average fixed cost; AVC is
average variable cost; AR is the average revenue; TR is total revenue. The
calculated constant is ?=106086; ?=1.25; ?=-0.26 respectively. The parameter Pl
is labor price and Pk is capital price. They are from 1000 to 3000 and from
3000 to 8000 Yuan respectively. Turnover is in terms of 5Yuan per share and Q
is piece of shares. Table 1 shows the parameter of constant value with labor
and capital & quantity. It is chosen that 10groups value to acquire average
ones. The detail narration is expressed as below (Table 1) (Figure 1).

(a) K=37.4;
Pl&Pk=3000&8000.

(b) L=3;
Pl&Pk=3000&8000.

(c) K=60;
Pl&Pk=3000&5000

(d?L=7.5;
Pl&Pk=3000&5000.

e) K=100;
Pl&Pk=1000&3000.

(f) L=7; Pl&Pk=1000&3000
Figure 1:
The relationship between cost and number of shares according to different
conditions.

(a) L

(b) K
Figure
2: The relationship between maximum
&marginal production and number of capital and labor.

Figure 3: The minimum cost with labor quantity and
100,000 pieces under different Pk.
Table
1: The conditions of original parameters and
coefficient.
|
Parameters
No.
|
l
|
K
|
Q
|
?
|
?
|
?
|
|
1
|
0.1
|
0.1
|
10?000
|
-
|
-
|
-
|
|
2
|
0.2
|
0.2
|
20?000
|
-
|
-
|
-
|
|
3
|
0.3
|
0.3
|
30?000
|
1.69
|
-0.41
|
141391
|
|
4
|
0.4
|
0.4
|
40?000
|
1.41
|
-0.29
|
111396
|
|
5
|
0.5
|
0.5
|
50?000
|
1.29
|
-0.22
|
104575
|
|
6
|
0.6
|
0.6
|
60?000
|
1.22
|
-0.18
|
102107
|
|
7
|
0.7
|
0.7
|
70?000
|
1.18
|
-0.15
|
101010
|
|
8
|
0.8
|
0.8
|
80?000
|
1.15
|
-0.13
|
100461
|
|
9
|
0.9
|
0.9
|
90?000
|
1.13
|
-0.12
|
100166
|
|
10
|
1
|
1
|
100?000
|
1.12
|
-0.11
|
100000
|
|
11
|
1.1
|
1.1
|
110,000
|
1.11
|
-0.10
|
99904
|
|
12
|
1.2
|
1.2
|
120,000
|
1.10
|
-0.09
|
99849
|
|
Average
|
-
|
-
|
-
|
1.24
|
-0.18
|
106086
|