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Lý thuyÕt vÒ h ng·
Copyright ©2002 FOE. All rights reserved.
Hµm s¶n xuÊt


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Q
!  " #   " ! $ %& !&
'()"*K
L+,-"."/
Q0fK1L
S¶n phÈm hiÖn vËt cËn biªn

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&3 "* , 6 5 ' 6 5
 "7 / ()  "* 1 ceteris
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f
K
Q
MP
=


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LL
f
L
Q


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N¨ng suÊt cËn biªn gi¶m dÇn

2&3%%45()
 "*  &9    : ;9
45()"*"#

<-1="/,>6
%45;*
0
2
2
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K
f
K
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0

2
2
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L
f
L
Q
L
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N¨ng suÊt cËn biªn gi¶m dÇn

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')@)'ABCD8E
F G6;H
56"

<  ( "I 6  % 45 
 " J K  L &9 
 M( "I  () "* 
' 

N=*f
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S¶n phÈm b×nh qu©n

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"Q !64-H
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L
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" !:;9
BiÓu ®å ®êng ®ång lîng

UQ'6()()
"*+1=:;9
4"V" K"V !

U K"V !
U K"V !M')!&
  ()  "*    W 
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Y !Z
P


fK1L0Q
P
BiÓu ®å ®êng ®ång lîng
L
K

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 !'
Q = 30
Q = 20
Tû lÖ thay thÕ kü thuËt cËn biªn
(MRTS)
L
K
Q = 20
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45MRTS

U;" K"V !4)A
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A
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Tû lÖ thay thÕ kü thuËt cËn biªn
(MRTS)

DA()']%%45MRTS
A"#()
' !" !(5
;@J" K"V !
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) cho (
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MRTS vµ n¨ng suÊt cËn biªn

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MRTS vµ n¨ng suÊt cËn biªn

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  MP
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 '.   ,/ H
5MRTSL^'.H

D(51 '.#'6 "/
MRTS  ;* _ ;M ,5  "/
6%45;*
MRTS vµ n¨ng suÊt cËn biªn

U_,`" K"V !V+
Q"1=*_,`,>dMRTSadLbP

?MRTS0f
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dL
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dL

dMRTS ⋅+−⋅+
=
MRTS vµ n¨ng suÊt cËn biªn

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L
af
K
;@J" K
"V !"/Scf
KL
0f
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3
22
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K
KKLKLLKLLK
f
fffffff
dL
dMRTS +−
=

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K
OP5d
.; 7


?f
LL
f
KK
""/H1&H
,5^H)f
KL
; 7
MRTS vµ n¨ng suÊt cËn biªn

DJ,M1; K #S,>f
KL
0f
LK

^,/; 7

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67

< #f
KL
bPQ
Y"*

?"#1'"/MRTS;*=
""/MP
L
MP

K
""
4X"F&4Y G6e
H
MRTS gi¶m dÇn

? "#1 " +    ,51 MRTS
 ;* , %& !&  K  L '
6%45,/; 7

f+,/KL +16%45
;* " "    G  ,/ H
"+f
KL
""4" K"V !
V
HiÖu suÊt theo quy m«

2  ! ^   )  ' 6 
()"*g

h:6()"*&".1
 !#6&".g

J(.H
')'$S()
i;2
HiÖu suÊt theo quy m«

i82 "  "/ jH   

G") !'6&"."*
T

N(5.&H."

DI,;S(.
+^'#S7
HiÖu suÊt theo quy m«

<)Z0fK1L@()
 "*  H +  >  ; 7
mOB1'"#T
HiÖu suÊt theo quy m«

J(
. 61  k '. "I l 
;QY"*8

N  ' )  H ") Y " 
J(.+9S,>_&Q
("I"*m&()"*
 !"*,
HiÖu suÊt kh«ng ®æi theo quy m«

   #   '. "I
J(.*&:;9S()
,>MRTSKL&9
AKL1'.&(.
Q"


f-@1@" K"V !#
'4>$Q"
Hµm s¶n xuÊt

()n

Q0fK,L0aKobL

#A"/T

Q 0 aK1bLa1bOP

N44?T

Q0fK,L0AK
a
L
b
A,a,b OP

Np2
L
K

?@J$Q"K/L '."I,
MRTS Q@" K"V
!
Q = 3
Q = 2
Q = 1

W" K
"V ! 
HiÖu suÊt kh«ng ®æi theo quy m«
HiÖu suÊt theo quy m«

  J( .# I 
,+n"*
Q0fX
B
1X
j
1…1X
n


<)H@"*+,/m > 01
#T
fmX
B
1mX
j
1…1mX
n
0m
k
fX
B
1X
j
1…1X

n
0m
k
q

<)k0BT'."IJ(.

<)kbBTJ(.

<)kOBT6J(.
Hµm s¶n xuÊt tuyÕn tÝnh

h:#;QT
Q0fK1L0aKobL

   ,5 &   
'."IJ(.
fmK1mL0amKobmL0maKobL0mfK1L

N" K"V !#;Q()n

MRTS'."I

σ0∞

×