### Mathematical Modeling Association

```Mathematical Modeling Association
A Simple Quiz
24 hours
8 bottles
How many ?
A Simple Quiz
1
2
3
4
5
6
7
8
000
001
010
0 11
100
101
11 0
111
ABC
ABC
ABC
ABC
ABC
ABC
ABC
ABC
√
√
√
√
√
√
√
A
√
B
C
√
√
√
√
A Simple Example

350
300
250
200
150
100
50
0
A Simple Example
How to predict?
A Simple Example

500
y = 5.1604e0.1967x
450
400
350
300
250
200
150
100
50
0
1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010
A Simple Example
P ( t )  P0 e
rt
A Simple Example

300
250
200
150
100
50
0
1750
1800
1850
1900
1950
2000
2050
A Simple Example

dP
dt

 r(P)
1
a  be  t

r ( P )  b  kP
A Simple Example
Some Tools
Some Tools
How It Helps
How It Helps
How It Helps
How It Helps
How It Helps
40
60
75
25

40/条·季度

How It Helps
m in
  400  R P ( i )  450  O P ( i )  20  IN V ( i ) 
i  1, 2 ,3 , 4
S .T . R P ( i )  40, i  1, 2, 3, 4
IN V ( i )  IN V ( i  1)  R P ( i )  O P ( i )  D E M ( i ),
i  1, 2, 3, 4
IN V (0)  10
How It Helps
How It Helps
P: (5,1)
1
a 1.25
b 1.25
d 3
Q: (2,7)
2
8.75
0.75
5
3
4.75
4.75
4
4
5
5
7
5
6.5
6.5
6
6
7.75
7.75
11
How It Helps
2
m in f 
6

c ij
( x j  a i )  ( y j  bi )
2
j 1 i 1
2
S .T .
c
ij
 d i , i  1,
ij
 e j , j  1, 2
j 1
6
c
i 1
,6
2
How It Helps
A Real Report From Contest
2012年吉林省

2012 Stat Modeling Contest
2012 Stat Modeling Contest

http://ccumma.sinaapp.com/?p=120

Mathematical Modeling Association
Website: http://ccumma.sinaapp.com
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```