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Jumat, 16 Desember 2011

Ekonomi Produksi


EKONOMETRIKA PERTEMUAN 2
Out Put (Q) produksi total fisik (Tota Physical Product) TPP = Q





Produk Fisik rata-rata (Average Physical Product) APP






Produk fisik Marginal (Marginal Physical Product) MPP





















Produk Fisik
Produk Fisik Marginal
Elastistas

Input (X)
Output (Q)
Rata-rata
(MPP)
Produksi



APP
MUTLAK
RATA-RATA
( MPP / APP )

0
0.0
0.0
0.0
0.0
0.0

1
4.9
4.9
6.7
4.9
2.36

2
13.2
6.6
8.9
4.2
1.98

3
24.3
8.1
12.3
3.7
1.97

4
37.6
9.4
14.2
3.2
1.85

5
52.5
10.5
15.5
3.0
1.76

6
68.4
11.4
16.2
2.7
1.65

7
84.7
12.1
16.3
2.3
1.53

8
100.8
12.6
15.8
2.0
1.41

9
116.1
12.9
14.7
1.7
1.27

10
130.0
13.0
13.0
1.4
1.10

11
141.9
12.9
10.7
1.1
0.91

12
151.2
12.6
7.8



13
157.3
12.1
4.3
  


14
159.6
11.4
0.2
  


15
157.5
10.5
-4.5
  


16
150.4
0.4
-9.8

























Rumus Mencari Q










Q = 3 X + 2 X2 - 0.1 X3

















Jika X = 1 Maka

Jika X = 3 Maka

Jika X = 5 Maka


Q = 3 (1) + 2 (1)2 - 0.1 (1)3
Q = 3 (3) + 2 (3)2 - 0.1 (3)3
Q = 3 (5) + 2 (5)2 - 0.1 (5)3

Q = 3 + 2 - 0.1

Q = 9 + 18 - 0.1 (27)
Q= 15 + 50 -0.1 (125)

Q = 4.9


Q = 27 - 2.7
Q = 65 - 12.5





Q = 24.3
Q= 52.5

Jika X = 2 Maka










Q = 3 (2) + 2 (2)2 - 0.1 (2)3
Jika X = 4 Maka

Jika X = 6 Maka

Q = 6 + 8 - 0.1 (8)

Q = 3 (4) + 2 (4)2 - 0.1 (4)3
Q = 3 (6) + 2 (6)2 - 0.1 (6)3

Q = 14 - 0.8

Q = 12 + 32 - 0.1 (64)
Q = 18 + 72 - 0.1 (216)

Q = 13.2


Q = 44 - 6.4
Q = 90 + 21.6





Q = 37.6
Q = 68.4





Rumus Mencari APP


APP = Q/X = 3X + 2X2 - 0.1X3


X
Jika X = 1 Maka


APP = 3 (1) + 2 (1)2 - 0.1 (1)3

1


APP = 3 + 2 - 0.1 (1)

1


APP = 4.9





Jika X = 2 Maka


APP = 3 (2) + 2 (2)2 - 0.1 (2)3


2

APP = 6 + 8 - 0.1 (8)

2


APP = 14 - 0.8

2


APP = 13.2

2


APP = 6.6





Rumus Mencari MPP





MPP Mutlak = dQ/dX = 3 + 4X - 0.3X2


MPP Rata-rata = Q = 2 - Q = 1





Input


MPP mutlak

MPP Rata-rata


Jika X = 1 Maka

Jika X = 1 Maka

MPPmutlak = 3 + 4 (1) - 0.3 (1)2
MPPrata-rata = 4.9 - 0.0

MPPmutlak = 3 + 4 - 0.3

1

MPPmutlak = 6.7

MPPrata-rata = 4.9






1

Jika X = 2 Maka

MPPrata-rata = 4.9

MPPmutlak = 3 + 4 (2) - 0.3 (2)2




MPPmutlak = 3 + 8 - 0.3 (4)
Jika X = 2 Maka

MPPmutlak = 11 - 1.2
MPPrata-rata = 13.2 - 4.9

MPPmutlak = 9.8


2





MPPrata-rata = 8.3

Jika X = 3 Maka


2

MPPmutlak = 3 + 4 (3) - 0.3 (3)2
MPPrata-rata = 4.15 <=> (4.2)

MPPmutlak = 3 + 12 - 0.3 (9)




MPPmutlak = 15 - 2.7

Jika X = 3 Maka

MPPmutlak = 12.3

MPPrata-rata = 24.3 - 13.2






3





MPPrata-rata = 11.1






3





MPPrata-rata = 3.7


 

Rumus Mencari Elastisitas Produk (MPP/APP)
Rumus =       MPPmutlak + MPPrata-rata

                 Produk Fisik Rata-rata (APP)






Jika X = 1 Maka


ŷ= 6.7 + 4.9


4.9



ŷ=  11.6



4.9



ŷ= 2.36







Jika X = 2 Maka


 ŷ= 8.9 + 4.2


6.6



ŷ= 13.1



6.6



ŷ= 1.98



EKONOMI PRODUKSI PERTEMUAN 3
x
Q
APP
MPP
0
0.0
0.0
0.0
1
4.9
4.9
6.7
2
13.2
6.6
9.8
3
24.3
8.1
12.3
4
37.6
9.4
14.2
5
52.5
10.5
15.5
6
68.4
11.4
16.2
7
84.7
12.1
16.3
8
100.8
12.6
15.8
9
116.1
12.9
14.7
10
130
13
13
11
141.9
12.9
10.7
12
151.2
12.6
7.8
13
157.3
12.1
4.3
14
159.6
11.4
0.2
15
157.5
10.5
-4.5
16
150.4
9.4
-9.8


Bentuk Dalam Kurva antara Q, APP, dan MPP


EKONOMI PRODUKSI PERTEMUAN 4

x
Q
APP
MPP
0
0.0
0.0
0.0
1
5.8
4.8
7.8
2
16.4
8.2
14.6
3
25.2
8.4
21.4
4
33.6
13.8
23.4
5
80.0
16.0
26.0
6
106.8
17.8
27.4
7
134.4
19.2
27.6
8
161.6
20.2
26.6
9
187.2
20.8
24.4
10
210.0
21.0
21.0
11
228.8
20.8
16.4
12
242.4
20.2
10.6
13
249.6
19.2
3.6
14
249.2
17.8
-4.6
15


16





RUMUS :
Q     = X + 4X2 - 0.2X3

APP = Q/X = 1 + 4 X - 0.2 X2

MPP = dQ/dX = 1 + 8 X - 0.6 X2


SAMPEL mencari Q




jika X = 1 maka
jika X = 2 maka

Q = 1 + 4 ( 1 )2 - 0.2 ( 1 )3
Q = 2 + 4 (2)2 - 0.2 (2)3

Q = 1 + 5 - 0.2
Q = 2 + 16 - 0.2 (8)

Q = 5.8

Q = 16.4








jika X = 3 maka
jika X = 4 maka

Q = 3 + 4 (3)2 - 0.2 (3)3
Q = 4 + 4 (4)2 - 0.2 (4)3

Q = 3 + 24 - 0.2 (9)
Q = 4 + 32 - 0.2 (12)

Q = 27 - 1.8
Q = 36 - 2.4

Q = 25.2
Q = 33.6








jika X = 5 maka
Jika X = 6 Maka

Q = 5 + 4 (5)2 - 0.2 (5)3
Q = 6 + 4 (6)2 - 0.2 (6)3

Q = 5 + 100 - 0.2 (125)
Q = 6 + 144 - 43.2

Q = 105 - 25
Q = 106.8

Q = 80.0




Jika X = 7 Maka

Q = 7 + 4 (7)2 - 0.2 (7)3

Q = 7 + 196 - 68.6

Q = 134.4







SAMPEL mencari APP
JIKA X = 1 maka


APP = 5.8/1 = 1 + 4 (1) - 0.2 (1)2

APP = 4.8





jika X = 2 maka


APP = 16.4/2 = 2 + 4 (2) - 0.2 (2)2

APP = 8.2





jika X = 3 maka


APP = 25.2/3 = 3 + 4 (3) - 0.2 (3)2

APP = 8.4





Jika X = 4 Maka


APP = 33.6/4 = 4 + 4 (4) - 0.2 (4)2

APP = 20 - 3.2

APP = 16.8






Sampel Mencari MPP



Jika X = 1 Maka

Jika X = 5 Maka


MPP = 1 + 8 (1) - 0.6 (1) 2
MPP = 1 + 8 (5) - 0.6 (5)2

MPP = 1 + 8 - 1.2

MPP = 1 + 40 - 0.6 (25)

MPP = 7.8


MPP = 26.0








Jika X = 2 Maka

Jika X = 6 Maka


MPP = 1 + 8 (2) - 0.6 (2)2
MPP = 1 + 8(6) - 0.6(6)2

MPP = 1 + 16 - 2.4

MPP = 1 + 48 - 0.6(36)

MPP = 14.6

MPP = 49 - 21.6





MPP = 27.4
Jika X = 3 maka






MPP = 1 + 8 (3) - 0.6 (3)2
Jika X = 7 Maka


MPP = 1 + 24 - 3.6

MPP = 1 + 8 (7) - 0.6 (7)2

MPP = 21.4

MPP = 1 + 56 -29.4





MPP = 27.6
Jika X = 4 Maka






MPP = 1 + 8 (4) - 0.6 (4)2
Jika X = 8 Maka


MPP = 1 + 32 - 9.6

MPP = 1 + 8 (8) - 0.6 (8)2

MPP = 23.4
MPP = 1 + 64 - 38.4





MPP = 26.6








Jika X = 10 Maka

Jika X = 9 Maka


MPP = 1 + 8 (10) - 0.6 (10)2
MPP = 1 + 8 (9) - 0.6 (9)2

MPP = 1 + 80 - 60

MPP = 1 + 72 - 48.6

MPP = 21.0

MPP = 24.4








Jika X = 11 Maka

Jika X = 12 Maka


MPP = 1 + 8 (11) - 0.6 (11)2
MPP = 1 + 8 (12) - 0.6 (12)2

MPP = 1 + 88 - 72.6

MPP = 1 + 96 - 86.4

MPP = 16.4

MPP = 10.6








Jika X = 13 Maka

Jika X = 14 Maka


MPP = 1 + 8 (13) - 0.6 (13)2
MPP =1 + 8 (14) - 0.6 (14)2

MPP = 1 + 104 - 101.4
MPP = 1 + 112 - 117.6

MPP = 3.6


MPP = 1 + 112 - 117.6





MPP = -4.6

























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