Teori Ekonomi Mikro II

5/21/2018 Teori Ekonomi Mikro II

1/40

TEORI EKONOMI MIKRO II

FUNGSI PRODUKSI

L TP AP MP

11

-11

TP, AP, MP

I II

III

TP

AP

MP

1!br0ken!! Satu variabel

Hanya untuk satu variable MP = 0 TP max

2!br0ken!! Dua Variabel !a"ital variabel#

Mar$inal %ate Te!&ni!al Substitusi'n#M%TS = P(

PL1)0 *uant = ('mbinasi + akt'r "r'uksi in"ut yan$

men$&asilkan tin$kat "r'uksi yan$sama

M. i"'t'n$ 'le& A. "aa saat M. "aa titik terena&

L TP AP MP

1

+

10

/0

10

+0

AL

ATPMP=AL

ATPMP=

L

TPAP=

L

TPAP=

L

Disaat TP Max TP "asti 0

A* ALA* = ALA* AL

T'tal "r'uksi TP#

TP = AP2*

L

AC.QAP=Q

TCAC =

AQ

ATCMC=


2/40

3

/)

))

40+)

15,3

14))

10

301)

1)

-/)

COST CURVES

6.V. T. = 6. 7 V.T.

6.

M. AV. 0

M. AV. 0Maximum

T. = 6. 7 V.AT. = A6. 7 AV.

= 8 AV. = vQ

uVC

dq

dAVC

=2

11

u

u.v-v.u

=O

Q

1.TC-MC.Q2

=

= M.2*-T.= 9

MC =

FCdqdvc

dQdTc +=

MC = dq

dvc

dQ

dTc=

=

MC = AVC AVC = Minimum

MC > AVC >0 Naik

MC > AVC >0 Turun (negai!e"

AVC > MC = Naik

A6. = 6. *AV. = V. *AT.:A. = T.

*

A6.2AV.2AT.;M.

*

6.

V.

T.

dQ

dAVC

dQ

dAVC

#

AFC

AVC

A.

M.dQ

dAVC

dQ

dAVC

dQ

dAVC

dQ

dAVC

dQ

dAVC


3/40

= M.2* = 9

= ATCQ

TC

MCdQ

dATC

===

= M. AT.O

dQ

dATC>

M. AT.9

-*

-AT.

(etika * = 9 = -6.

* 9 = P2* V. 6. - 6.

= P2* V. 9

= P2* V.

= P *

V.

= P AV.

II!br0ken!! Penekatan yan$ i"akai M. an M%

= T% T.

9*

T.

*

T%9

*

T.===

k&usus untuk "asar "ersain$an sem"urna

?ika P semakin banyak maka @uantity yan$ itaarkan semakin banyak

su""ly# "r'usen

('nisi I P = AV. = S&ut D'n

?ika nilainya maximum makaturunan keuanya &arus )0. 0

M% = M.

Dimana = Pr'it maximum

TC

TR

#

#

TRTC

#

Pr'it yan$ "alin$ maximumPr'it yan$ "alin$ minimum

M.:* 9

*3*+*1

= P-M. =9

dMC > O

dQ

= P2* - T.P1P+P3

P = M.

*

0MRPa)a #

+=MR>MC

M%

*+ *3*


5/40

('nisi II P = AT. = B'rmal

('nisi III P AT. = Cntun$ luar biasa

('nisi IV P AT. = %u$i

Dibaa& AT. teta"i iatas AV. = AV.PAT.

* P T% 6. V. T. M. AT. AV.

0 131 0 100 0 100 100 0

1 131 131 100 E0 1E0 E0 1E0 E0

+ 131 +F+ 100 140 +40 50 13) 5)

3 131 3E3 100 +/0 3/0 40 113,33 50

/ 131 )+/ 100 3+0 /00 F0 100 4)) 131 F)) 100 340 /40 40 E/ 4/

F 131 45F 100 /)0 ))0 50 E1,FF 4)

4 131 E14 100 )/0 F/0 E0 E1,/+ 44,1/

5 131 10/5 100 F)0 4)0 110 E3,4) 51,+)

E 131 114E 100 450 550 130 E4,45 5F,F4

10 131 1310 100 E30 1030 1)0 103 E3

P mem't'n$ M. atau P=M. "aa saar itu keuntun$an "alin$ maximum2

?arak "alin$ maximum = T%-T. = 114E 550 = +EE

M% = M.

Paa "enekatan M%=M. maka ru$inya ru$i minimum an untun$nya

keuntun$an maximum2 (etika "r'it = P AT.

*2P 6.7V. T.1-T.0 T.:* V.:*

*

AT.

M%AV.

*1 *3*+

P1

P+

P3

P2.

(urva su""ly untuk "ere!t !'m"'titi'n


6/40

* P T% 6. V. T. M. AV. AV. T%-T.

0 51 0 100 0 100 100 0 -100

1 51 51 100 E0 1E0 E0 1E0 E0 -10E+ 51 1F+ 100 140 +40 50 13) 5) -105

3 51 +/3 100 +/0 3/0 40 113,33 50 -E4

/ 51 3+/ 100 3+0 /00 F0 100 4) -4F

) 51 /0) 100 340 /40 40 E/ 4/ -F)

F 51 /5F 100 /)0 ))0 50 E1,FF 4) -F/

4 51 )F4 100 )/0 F/0 E0 E1,/+ 44,1/ -43

5 51 F/5 100 F)0 4)0 110 E3,4) 51,+) -105

E 51 4+E 100 450 550 130 E4,45 5F,F4 -1)1

10 51 510 100 E30 1030 1)0 103 E3 -++0

%u$i = AT. P#2* P Minimal P = AV.

E12F4-51#2F=F/20+ P Minimum "aa saat AV. "alin$

minimum

(etika = * = ) M.= P=40 AV. = 4/

E/ 51#2) = -F) Har$a "alin$ minimal amban$

* = 4 "erusa&aan mau &iu" "aa

E1,/+-51#24=4+,E/ P=M.=M%=4-

Paa "asar "ersain$an sem"urna P=M%=D

tiak aa &ambatan untuk masuk "asar#

PASAR PERSAINGAN SEMPURNA

.iri !iri ari "asar "ersain$an sem"urna aala& G

1!br0ken!! aran$ yan$ &'m'$en

2!br0ken!! Tiak bisa sebebasnya meneta"kan &ar$a

3!br0ken!! ebas keluar an masuk "asar

C,n,- .,a/

1!br0ken!! Diket G T. = 100 7 *+

?ika P=F0 maka G

Dit G a2 era"a * su"aya maks an be"ara T.


7/40

b2 A"a yan$ ter


8/40

Sin$el 6irm2 Har$a teta" en$an men$uran$i 'ut"ut maka akan

men$&asilkan maximum2 Dalam "r'ses "ersain$an sem"urna,

kenaikan tax sama en$an kenaikan "ri!e &ar$a#

MisalnyaG t P

+ P +

2!br0ken!! T. = 100 7 *+

P = F0 ikenakan "a


9/40

N+221

0 0[ =

= 1

.'nt'&G

M. = 3 7 +* AV. = 37*

P = E 6. = 3

Dit G * = 222222222 PS= 222222

?aabG V. = AV.2*

V. = 37*#2*

V. = 3* 7 *+

T. = 6. 7 V.

T. = 3 7 3* 7 *+

T.1= M. = 3 7 +* = P

3 7 +* = E

+* = F * = 3

T% = P x * T. = 3 7 3* 7 *+

T% = E x 3 = +4 T. = 3 7 3 3#7 3+#

T. = 3 7 E 7 E

T. = +1

= T% T.

= +4 +1= F

PS = T% V.

= +4 3* 7 *+#

= +4 323 7 3+#

= +4 E 7 E#

= +4 15 = E atau PS = 7 6. = F 7 3 = E

M. = 3 7 +**=0 M. = 3*=1 M. = )*=+ M. = 4*=3 M. = E

AT. = T. : *= *+ 7 3* 7 3

*= * 7 3 7 3:*

*=1 1 7 3 7 3:1 = 4*=0 AT. = *=+ AT. = + 7 3 7 3:+ = F,)

AV.= *

V.


10/40

ANA$ISA PASAR PERSAINGAN SEMPURNA

Su""ly

1!br0ken!! P = *-/ T

2!br0ken!! P = *-/ 7 t P=*-/71 P=*-3 AT

a!br0ken!! PS = P sebelum "a


11/40

A!t t At .&an$e

.P

O2410-3#=+/,)+/,)0

O2F,)10-3,)#=+1,1+)+1,1+)F,)

-3234)-3234)

F,)

T'tal /E /5,4) -0,+)

PASAR MONOPO$I

Har$a aa satu "en


12/40

P = A% A%=T%:* = P2*-)07*+#

P = /0* *+ = 30210 )07100# * = 300 1)0#

P = /0 * = 1)0

P = /0 10 AT. = *

T.

P = 30 AT. = *

*++50

AT. =15

10

150

10

10050

==

+

Atau

PASA% M9B9P9L

1!br0ken!! = T% T.

2!br0ken!! M. = M%

P

+

d1

1

= M.

=P

P

*

*

P

*Q

PR

**

==

. =

Sl'"e

1

*

P.

=Sl'"e

1

11P

+

?ika *=+0 maka M% = 0

.DAT.

M.

A

=C-=C1-71-C

1

0

20

30

40

40

35

30

2520

15

10

P

*

*

P.=


13/40

P = aa + variabel

12 M. = Mar$inal .'st

+2 U = lastisitas Deman

Aturan "eneta"an &ar$a

PM. = M%

+

=

d

11

MCP

Diket G P = /0 *

TC MC MR TR # P 5

)0 0 /0 0 0 /0 -)0

4) 10 30 14) ) 3) -4 100

1)0 +0 +0 300 10 30 -3 1)0

+4) 30 10 34) 1) +) -12F4 100

/)0 /0 0 /00 +0 +0 -1 -)0

F4) )0 -10 34) +) 1) -02F -300

E)0 F0 -+0 300 30 10 -0233 -F)0

1+4) 40 -30 14) 3) ) -/21/ -11001F)0 50 -/0 0 /0 0 0 -1F)0

= Sl!"1

.Q

P

1=

.0

40=

11

+=

.5

3571

1

=

3=

.10

303

1

1=

/=

.15

2567,1

1

1=

Mark u" Sebera"a sese'ran$ men$ambil keuntun$an ari M.

P =

+ d

MC

11


14/40

M% = P

+

d1

1

= P 7d!

= M.

.'ns'G

Diketa&ui G = -/

M. = E

P = /1

/-1

1 -1

E

1

E

1

M.=

+=

+

=

1241

==== 3

3F

3

/E2

EE

/3

//

Mark C"G

P

M.-P

=

1

+)Q0,+)x100Q1+

3

1+

E1+

===

=

1

?ika = -+

Diketa&ui G = -+

M. = E

P = +-1

1 1

E

1

M.

+=

+

=

1#

2

1===

1

+E2

EE

+

1

+

+

= d1

P

MC-P

P

MC-P

d

1=


15/40

Mark C"G

PM.-P

=1

)0Q0,)x100Q15

E15

==

=

1

?ika G

Diket G Tax = 3 P=3 Pa


16/40

Dalam M'n'"'ly

P = A% M% M.

M% = M.

9LI9P9L

Pr'usen : Seller

.iri-!iriG

; 6ree entry bebas masuk "asar#

; arrier little# "aten

; Pr'uknya tereensiasi2 Se"erti m'bil nia$a#, T'y'ta, Mitsubis&i,

; Peranan Avertisin$ Iklan# san$at "entin$2

Dalam 9li$'"'ly aa reaksi ter&aa" "esain$G

*= P2P#

a!br0ken!! 6+ 0Q t'tal 100Q

b!br0ken!! ?ika *uantity "erusa&aan + 6+# = +)Q

&

DaD6

*1

M%aM%

M.

)034,) *1

P1


17/40

9ut"ut maximum O 2 100 = )0

.'nt'& s'alG

12P = 30-* M.1= M.+= M.3=1+

P = 30-*17 *+7 *3#

M.1 = M.+= 0 *1an + *+ an +

P = 30 *

T%1 = P-*1

= J30-*17*+#K*1

= 30*1-*1+-*12*+ M%=30-+*1-*+

M% = M.1

30-+*1-*+=0

*+=1)-+*

+

1

*+=1)-1*

+

1

T%1 = 30*1-*1+-*11)- +

1*1#

= 30*1-*1+-1)*17

2*+

1

T%1 = 1)*1- +

1

*1+

M%1=M.1 *+=1)-4,) *T't= *17*+

1)-*1 = 0 *+=4,) *T't= 1)74,)

*1=1) *T't= ++,)

Cntuk ase "ersain$an sem"urna

P =30-* P = 30-* Men$u


18/40

* = 15 P!= Pere!t .'m"'titi'n

* = n#2*P! n71# = 3215 /

= 13,)

+2 P= F0-*

T.1=*1

T.+= 1)*+7*1+

T%1= P2*1 M%1=M.1

= JF0-*17*+#*+ F0-+*1-*+ =+*1

= F0*+-*1+7*+2*+

+ F0-*+ = /*1

*1 =F0:/ *+:/ = 1)-1:/*+

M%1= F0-*1-+*+

M.+= 1)7+*+

Substitusi G *1ke *+

M%+= M.+ *+ = 11,+):1:/*1

F0-*1-+*+ = 1)7+*+ *+ = 11,+) -1:/ 1)21:/*+#

-+*+ +*+ = 1)-F07*1 = 11,+) - 1):/71:1F*+

-/*+ = -/)7*1:-/ = 11,+) 3,4) 7 1:1F*+

*+ = -/):-/ 7 *1:-/ *+-1:1F*+ = 11,+)-3,4)

*+ = 11,+) - -1:/*1 ):1F *+ = 4,)

*+= 4,)21F

1)*+= 1+0

1)

*+= 5

Sub2 *+ke *

*1= 1) - *+

*1= 1)-1:/25

*1 = 1) - +

* = 13 20 24 74

20

22+4

*1= 1) *

+

*1= 11,+) *1


19/40

A"abila T%+nya irevisi

*1 =1) - *+ imasukan ke alam

T%+ = F0*+- *12 *+- *++

= F0*+- 1)*+7 *++ *+

+

= /)2*+ W *++

.'nt'& G

Asumsi + Perusa&aan i "asar men$&asilkan 'ut"ut

P = 30 *

M. = 0 M.1; M.+= 0#

Ditanya G bera"a *1an *+se&in$$a 1an +max

?aabG

= T% - T.

T% = P2*1 *1= 1)- O *+

T%1 = 30-*# *1 imana

T%1 = J30-*17*+#K*1 *1 = 1) O *+

T%1 = 30*1-*1+-*12*+ *1 = 1) O 1) O *1#

M%*+*-30*

T%1

1

= 2d

d

*1 = 1) -1*

/

1

+

1) +

W *1= +

1)

M% = M.

30 +*1 *+= 0 *1= F

F0

3

/2

+

1)=

30 *+ = +*1

*1 = 1) -*+

+

1

*1= 10 *+= 10

*T = *17 *+

*T't = 10 7 10 = +0

*1

*0

20 24 *0

20

24

*1= 1) O *

+


20/40

P = 30 - *T't= 30 - +0

= 10

Pasar Persain$an Sem"urna2 M'n'"'ly M% = M.P = M. M. = M% 3 = - +* = 030-* = 0 T% = P* 30 = +** = 30 T% = 30-*#2* *T = 1)P = 0 T% = 30* *+ *1= 4,) *+= 4,)

M% = 30 +* P = 30 - *TP = 30 - 1)P = 1)

.'ns' G

+2 Diketa&ui G P = 30 * M.1= M.+= 1+

Ditanya G *12 *+ su"aya 1, +max

; = T% T.

T%1 = P2 *1 *+= E O *1

T%1 = 30 * # *1 imana

T%1 = 30 *1 7 *+## *1 *1 = E O *+

T%1 = 30*1 *1+*12 *+ *1 = E 1:+ E O *1##

M% = 30 - +*1 *+ *1 = E E:+ 7 *1

Pere!t .'m"etiti'n

P=30 - *

M'n'"'ly

*0

20 +0 *0

20

24

9li$'"'ly u' "'ly#

*1= 1) O *

+

K,/u.i

*0

+4

+0

24

20844

+4 4 84 20 24 *0


21/40

M% = M. W *1 = 2

'1#

30 - +*1 *+ = 1+ W *1 = E:+

30 1+ - *+ = +*1 *1 = E:+ 2 /:3 = 3F:F

15 *+ = +*1 *1 = F

*1= E 1:+*1

*+ = E 1:+*1

*1 = E O 2 F

*1 = E 3

*1 = F

M%+ /) *+ - +23:/ *+

/) F:/ *+

/) 3:+ *+

M%+= M.3

/) 23

*3 = 1) 7 + *+ *1= 1) *+

/) - 1) = +*+7 23

*+ *1 = 1) 2 52F

30 =

+*+

4

= 1) +,)

*T't = *1 7 *+

*T't = F 7 F = 1+

P = 30 - *T't

P = 30 1+

P = 15*1= E O *+

*0

+4

+0

24

20

3

3 9 24 *0

4

302+


22/40

= *+ = 1+,5)

*+ = 5,F

C,m:,.i.i in Pri;e

(heterogenous Goods)

.'llusive

*** +1T +=

P = /

1= P1*1-T!1

P1= P+

1= 1+ P1-+P1+7P1P+-+0

1= 1+ P+-+P++7P1P

+-+0

17+= +/ P-/P+ 7+P+ -/0

T't = 17 +

= +/P +P+= 0

+/ = /P P=F

04P-240

P

==d

d

24 = /P

P = F

*T = *17*+ M% = M.1se&in$$a 1max2 *1

M% = M.+se&in$$a +max

T't max

C,//u.i!e

Mu/


23/40

Fir. )egree

P= !'st minimal &ar$a su"aya tiak ru$i

M% D=A%

M.

A.

A

M.

PaP6

P;

P;

C

Se;,n) )egree

*+*m*1*00

l'k III

l'k II

M% A%

A.

l'k I

M.PaP2Pm

P+

T-ir) )egree

P+

P2 MC

MR

MR+

AR+= D

+

30

40

70

*0

+0 AR2= D

+


24/40

.'nt'& s'al G

D P = 100 *

S P = +0 3*

Ditanya G a2 P an * Pere!t ('m"etisi

M(!)(* P+" = "

"v

M(!l* P+" = "

M."

A=S

ME = MV

ME

M'n'"s'ny

P

P

#

AR2= D

+

AR=D

MR

MCP

MC

#


25/40

b2 P an * M'n'"s'ny

?aab G

a2 100 * = P P = 100 *

+0 7 3* = P - = 100 - +0

50 /* = 0 P = 50

50 = /*

* = +0

b2 MV = M

S P = +0 3* = A

Cntuk m'n'"s'ny "aa T yan$ i"akai P nya aala& Su""lay

T = P2* MV =M PS = +0 7 3*

= +0 7 3*# 2 * 100 * = +0 7 F* = +0 7 311,/3#

= +0* 7 3*+ #0 = 7Q = 20 34,2'

M = 20 6Q Q = 11,43 P = 54,26

CONTOH SOAL TEORI EKONOMI MIKRO II

1!br0ken!! /" P = 300 3Q

TC = Q3 21 Q2 333Q 1#0

T(* . Q, P, T d(

. P1= 225 Q, P, T, TC, 2

8+

A!br0ken!! M = MC 9(!l

T = P.Q

= %300 3Q$ Q

= 300Q 3Q2

M =

Qdq

dtr6300 =

TC = Q 1#033321 213 ++ QQ


26/40

MC = 3Q2 42Q 333

M = MC

300 - 6Q = 3Q2 42Q 333

300 6Q = 3Q2 42Q 333

- 67 36Q 3Q2: 33Q 6Q 3Q2 42Q

3Q2 36Q 267 33 36Q 3Q2: 3Q2 36 33

= a

cabb

.2

.42

= 3.236:1673.412'636

633.1212'6

= 6

12412'636

6

117236 =

= 6

23,3436

6

'0036=

= 6

3063

= 11

Q1 = 6

23,3436+

= 11,70

Q2 = 6

23,3436+

= 0,2'5

P = 300 3 %Q1 Q2$ P = 300 3 %Q1 Q2$

= 300 3. 11,70 = 300 3 %11,''5$

= 300 35,1 = 300 35,'#5

= 264,' = 264,015

T = P.Q

= P. %Q1 Q2$

= 264,015 . 11,''5

= 3166,#5

; = T TC

= 3166,#5 %11,''5$3 21 %11,''5$2 33 %11,''5$2

= 3166,#5 %1725,#4$ 21 %143,##$ 3'5,#3

= 3166,#5 1725,#4 -3021,4# 575,#3

= 3166,#5 1725,#4 2445,65


27/40

= 3166,#5 4171,4'

= -1004,64

B!br0ken!! P225 Q,P,T,TC d(

225 = 300 3Q

3Q = 300 225

Q = 75:3 = 25

P = 300 3 %'5$

= 300 75 = 225

; = T TC

= P.Q Q3 21Q2 333Q 1#0

= 225.25 - 253 - 21 %25$2 333 %25$ 1#0

= 5625 15625 13125 #325 1#0

= 5625 11005

= -5.380

S""lu9(*

T = P.Q

= 225.25 = 5625

TC = 253 21 %25$2 333 %25$ 1#0

= 15625 13125 #325 1#0

= 11005

2!br0ken!! /" Q = 144:P2

AVC = Q1:2

FC = 5

T(* . Q P M;

. P 4 Q, P 2

8+

a!br0ken!! Q = 144: P2 T = P.Q

P2 = Q

144

=

QQ

.12

2:1


28/40

P =Q

144

=2:1

12

Q =

2:1.122:1

12 = QQQ

Q

= 12Q

2:1.........1

TC = VC FC M = MC

AC = AVC.Q FC 6Q -1:2= 3:2 Q1:2

= Q1:3. Q 52:1

6

Q = 3:2 Q1:2

= Q 3:2 5 ...........2

MC = TC1 12 = 3Q

= 3:2 .Q1:2...........3 Q = 4.............5

M = T

= 12 Q1:2 = T - TC

= 6Q-1:2.................4 = %P$ . %Q$ %Q3:2 5$

P =Q

12

= 24 %# 5$

= 4

12

= 6.............6 = 11..............7

b!br0ken!! P = 4

P =2:1

12

Q = T - TC

4 =2:1

12

Q = %4$. %'$ %Q3:2 5$

Q1:2 = 4

12

= 36 27 5

Q1:2 = 3 = 36 -32

Q = 3 = 4

Q = '

3!br0ken!! /" C = 100 5Q Q2


29/40

P = 55 2Q

T(* . Q 2P 9; , C5 2 /


30/40

= 50

ATC = QTC

= 100150

= 15 MC = P

M = 55 4Q

Q = 0 M = 0

M = 55 Q = 13,75

B!br0ken!! P = 27 P = 55 2Q

27 = 55 -2Q = 55 2 %14$

2Q = 55 27 = 55 2#

2Q = 2# = 27

Q = 14

TC = 100 - 5Q Q2

= 100 5 %14$ %14$ 2

= 100 70 1'6

= 226

= T - TC

= P.Q 226

= 37# 226

= 152

CS = ..

= .14. 55 27

= 7. 2#

= 1'6

P


31/40

4!br0ken!! /" MC1= 20 2Q1 P = 20 3 %Q1 Q2$

MC2 = 10 5Q2

T(* . Pdu)

. P 9;

8+

T = P.Q

= %20 3Q$.Q

= 20Q 3Q2

M = 30 3Q

M = MC2

20 3Q = 10 5 Q2

20 3 %Q1Q2$ = 10 5Q2

20 3Q1 3Q2 = 10 5Q2

20 10 3Q1 = 5Q2 3Q2

10 3Q1 = #Q2

10 = #Q2 3Q1

10 = 3Q1 #2

M = MC1

20 3Q = 20 2Q1

20 3 %Q1Q2$ = 20 2Q1

20 - 3Q1 - 3Q2 = 20 2Q1

20- 3Q2 = 20 2Q1 3Q1

20 20 3Q2 = 2Q1 3Q1

0 - 3Q2 = 5Q1

0 = 5Q1 3Q2

0 = 5Q1 3Q2 >3 0 = 15Q1 'Q2

10 = 3Q1 #Q2 >5 50 = 15Q1 40Q2

50 = -3Q2


32/40

Q2 = 31

50

= 1,612

10 = 3Q1 #Q2 Q = Q1 Q2

10 = 3.Q1 # %1.612$ = -1.035 1.612

= 3.Q1 12.#'6 = 0,577

3Q1= 12.#'6 16 P = 20 3Q

Q1 = -3: 2.#'6 = 20 3 %Q1 Q2

= -1,035 = 20 3 %0,577$

= 20 1,731

= 78,269

5!br0ken!! /" QT = Q1 Q2 Q3

TC1 = 20 Q12 TC3 = 15 Q3

2

TC2 = 10 Q22 QT = 60 P

T(* . Q. Pd Cu( q

.

8+

A!br0ken!! Q = 60 P P = 60 Q

T1 = P.Q1

= 60 %Q1 Q2 Q3$ . Q1

= 60 Q1 Q2

1 - Q1. Q2 - Q1. Q3

M1 = 1

1

dQ

dTR

= 60 - 2 Q1 Q2 Q3

M;)* M1= MC1= 0

60 - 2 Q1 Q2 Q3 = 2 Q1

60 - 2 Q1 Q2 Q3 - 2 Q1 = 0

60 - 4 Q1 Q2 Q3 = 0

60 = 4Q1 Q2 Q3


33/40

4Q1 = 60 - Q2- Q3

Q1 = 15 ? Q2 - ? Q3@ !")

T2 = P.Q2

= 60 %Q1 Q2 Q3$ . Q2

= 60 Q2 - Q22- Q1 Q2 Q2. Q3

M2 = 2

2

dQ

dT

= 60 - 2 Q2 Q1 Q3

9; )* M2= MC2= 0

60 - 2 Q2 Q1 Q3 = 2 Q2 = 0

60 - 2 Q2 Q1 Q3 -2 Q2

60 - 4 Q2 Q1 Q3 = 0

60 = 4 Q2 Q1 Q3

4 Q2 = 60 - Q1 Q3

4 Q2 = 15 ? Q1 ? Q3 @ !")

T3 = P.Q3

= 60 %Q1 Q2 Q3$ . Q3

M3 = 60 Q3 - Q32 Q1. Q3 Q2 . Q3

= 3

3

dQ

dT

= 60 - 2 Q3 Q1 Q2

M; )* M3= MC3= 0

60 - 2 Q3 Q1 Q2 = 2 Q3

60 - 2 Q3 Q1 Q3 -2 Q3 = 0

60 - 4 Q3 Q1 Q2 = 0

60 = 4 Q3 Q1 Q2

4 Q2 = 60 - Q1 Q2

4 Q2 = 15 ? Q1 ? Q2 @ !") 3

Su)u)

P") " 2 " !") 1

= 15 ? %15 ? Q1 ? Q3$ - ? Q3

= 15 15:4 1:16 Q1 1:16 Q3 -? Q3

= 45:4 1:16Q1 3:16? Q3


34/40

1:16Q1 = 45:4 3:16Q3

Q1 =3Q

15

16;

16

3

15

16;

4

45

Q1 = 240

4#

60

720

Su)u) !") 2 " !") 3

= 15 ? Q1 ? %15 ? Q1 ? Q3$

= 15 ? Q1 15:4 1:16 Q11:16 Q3

= 15 - 3:16Q1 15:4 1:16 Q3

Q3 = 45:4 3:16 Q1 1:16 Q3 @ !") 4

Q3 = 45:4 3:16 Q1 1:16 Q3

15:16 Q3 = 45:4 3:16 Q1

Q3 = 45:4 ; 16:16 3:10 ; 16:15 Q1

Q3 =1Q

240

4#

60

72'

Q3 = 12 - 5

1

Q1 @ !") 5

Su) !") 5 " !") 4

Q2 = 12 - 1:5 %12 1:5 Q1$

Q1 = 12 - 12:15 1:25 Q1

Q1 =1Q

251

54# +

5

4#Q

25

241 =

P = 60-Q

Q1 = 24

25

5

4#+

= 60 %Q1 Q2 Q3$


35/40

Q1 =10

120

1200=

= 60 %10 10 10$

= 60 %30$

= 30

Q3 = 12 1:5 Q1

= 12 1:5 . %10$

= 12 2

= 10

Q2 = 15 1:4 Q1 ? Q3

= 15 1:4 . %10$ ? %10$

= 15 2,5 2,5

= 10

8d Q1 = Q2 = Q3

B!br0ken!! 1 = T1- TC1

= PQ1 TC1

= %60 Q1 - Q2

1 - Q1.Q2 - Q1. Q3 $ %20 Q2

1 $

= 600 100 100 100 120 1#0

= 2#0

2 = TP2 - TC2

= 30 .10 20 Q2

1

= 300 120 = 2#0

6!br0ken!! /" TC = 20Q Q2

P = 200 - 2Q

T(* . Q . P . cu9 q

. P") 2 B) v" Q. P d(

c. "u) Q , P D


36/40

8+

A!br0ken!! P = 200 2Q

= 200 2 %Q1 Q2$

T1 = P. Q1

= %200 Q1 - 2 Q2

1 - 2 Q1. Q2

M1 = 200 2Q1 2Q2

M1 = MC2 = 0

200 - 4 Q1 -2Q2 = 20 2 Q1

200 - 4 Q1 -2Q2 - 20 - 2 Q1

1#0 - 6 Q1 2 Q2 = 0

1#0 = 6Q1 2Q2

6 Q1 = 1#0 - 2 Q2

Q1 = 3- 1:3 Q2

T2 = P.Q2

= 200 2%Q1 Q2$. Q2

= 200 Q2 - 2 Q22

2 Q1.Q2M2 = 200 - 4Q2 - 2Q1

M2 = MC2

200 - 4Q2 - 2Q1= 20 2Q2

200 - 4Q2 - 2Q1- 20 - 2Q2

1#0 - 6Q2 - 2Q1 = 0

1#0 = 6Q2 2Q1

6Q2 = 1#0 - 2 Q1

Q2 = 30 1:3 Q1

Su) Q2 " Q1

Q1 = 30 1:3 %30- 1:3 Q1$

= 30 10 1:'Q1

Q1 = 20 1:' Q1

#:'Q1 = 20

Q1 = #

20;'

= 22,5


37/40

Q2 = 30 1:3 %22,5$

= 30 7,5

= 22,5 @ Q1 = Q2 = 22,5


38/40

P. Tl = 200 2 %Q1 Q2$

= 200 2 % 22,5 22,5$

= 200 45

= 155

!) 1 2

1 = T1 TC1

= %P. Q1$ %20Q1 Q12$

= %155 . 22, 5$ %20 . 22,5 %22,5$2$

= 34#7,5 %-450 506,25$

= 34#7,5 '56,25

= 2531,25= 1 = 2

B!br0ken!! T1 = P. Q1

= 200 2 %Q1 Q2$. Q1

= 200 Q1 - 2 Q12 2Q1. Q2

M1 = 200 - 4Q1 - 2Q2

M1 = MC1

200 - 4Q1 - 2Q2 = 20 2Q1

200 - 4Q1 - 2Q2- 20 - 2Q1

1#0 6Q1- 2Q2 = 0

1#0 = 6Q1 2Q2

6Q1 = 1#0 - 2Q2

Q1 = 30 1:3 Q2


39/40

T2 = P. Q2

= 200 2 %Q1 Q2$ . Q2

= 200Q2 - 2Q2- 2Q1 .Q2

M2 = 200 - 4Q2- 2Q1

M2 = MC2

200 - 4Q2- 2Q1 = 20 2Q2

200 - 4Q2- 2Q1 - 20 - 2Q2

1#0 - 6Q2 - 2Q1= 0

1#0 = 6Q2 2Q1

6Q2 = 1#0 2Q1

Q2 = 30 1:3Q1

P"u)E( 2 B) 9("*

MS Q1 T2

T2 = 200Q2 - 2Q22 2 %30 1:3Q2$ . Q2

=200Q2 - 2Q22 60 2:3Q2

= 200Q2 - 4:3Q22 60

= 200 #:3Q2

M2 = MC2

= 200 - #:3Q2 = 20 2Q2

= 200 - #:3Q2 - 20 - 2Q2


40/40

= 1#0 - 3

14

Q2

= 14:3Q2 = 1#0 = 3#, 57 = Q2

= 30 1:3Q2

= 30 12,#5

= 17,11

T2 = 200 2 %Q1 Q2$

= 200 2 %45$

= 200 '0

=110

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Teori Ekonomi Mikro II