Mikroekonomika-Rudiy / Mikroekonomika-Rudiy
.pdfQ + - % * ! ! ! ! !:
MPL = |
F L,K ; MPK = |
F L,K . |
(6.6) |
|
L |
K |
|
6.2.
% " ! " < , / / ! - !. (- , ) < " *, < %
% < / * |
! |
( , ). % |
|
+ % K1A ( . 6.5). O < , ! * "< . ; < K / L " - < " , + % K " < -L.
!
!1
|
Q1 |
Q2 |
Q3 |
|
|
|
L |
0 |
|
. 6.5. ' %
P ’ , * < K / L + ! , % . 6.2% / <
111
! ! (K = 20 <- % ).
|
|
|
|
|
& I= 6.2 |
|
C$%*L JLEHD*LIKJ& #"LA%J C&M'S*H |
|
|||
|
|
J% CD%MRU'**# C&KE&K (E&I% |
|
||
|
|
|
|
|
|
' , |
|
' % |
; |
|
Q |
* .-% |
|
, TPL |
, APL |
|
, MPL |
|
|
|
|
|
|
5 |
|
20 |
4,0 |
|
4,0 |
|
|
|
|
|
|
10 |
|
45 |
4.0 |
|
5,0 |
|
|
|
|
|
|
15 |
|
95 |
6.3 |
|
10,0 |
|
|
|
|
|
|
20 |
|
165 |
8,3 |
|
14,0 |
|
|
|
|
|
|
25 |
|
250 |
10,0 |
|
17,0 |
|
|
|
|
|
|
30 |
|
315 |
10,5 |
|
13,0 |
|
|
|
|
|
|
35 |
|
360 |
10,3 |
|
9,0 |
|
|
|
|
|
|
40 |
|
390 |
9,8 |
|
6,0 |
|
|
|
|
|
|
45 |
|
405 |
9,0 |
|
3,0 |
|
|
|
|
|
|
50 |
|
390 |
7,8 |
|
-3,0 |
|
|
|
|
|
|
' % " % , < *
. $ *" , < , "
, % < ", < " %-% . ) ", / -
*, +% % .
% + % + ( . 6.6).
% % ( . 6.6, a) ", - *" % + - , < < * . ;*" * * ! , % -% % .
Q % , / ** % % -.
112
)
b)
Q
Q3
B
Q2
Q1
0L1 L2
PL
PL
'
PL
B'
0 |
|
L1 |
|
L2 |
C
TPL
L
L3 L4
C'
PL
L
L3 L4
. 6.6. H % % , % % %
% + ( L) % , -" , ’ ! % "*. = < -( . 6.6, ) < " +-* : % % -". ) " < %- % % , % MPL > APL. A' ( . 6.6, b) % % " % . = %AB ( . 6.6, a) % % < "B' ( . 6.6, b) *" MPL = APL. = ( ) MPL < APL, / %
113
" < , % + . =MPL < 0 % +
< % % . * %" % + ( % ). ] % % " , / , * % % , < - % + , < + < * -
, " < % % % + . $, < % + <
% . |
- |
" < % % L |
|
L3, % TPL. |
|
' ! % |
" < - |
! + . ) -
— * |
, !- |
% , < , * |
. |
; % % + - , . < ; -* -< % . $ / / < , > , % .
' * , , / < < " < * * - *, * *, , , %-
. ? |
|
, . H % , |
|
|
! % - |
. = < -% ! , ! , / ! * < , -. +’" , % - . $, ’ , / "* *, " .
' % " !- % . -
! < ! % |
- |
% , / ! ! ! ! + ! |
% < % |
% . ( < , -! %! % , % + %- % / " % % - / .
114
|
6.3. |
|
|
|
! |
|
|
+ |
& % % ! ! |
||
** . + |
! "- |
||
, / % |
% |
||
|
. * " |
- |
/ % + < -% . ? * ! * -
/ + " < |
|
(MRTS) *, / " * , |
|
!+ % (Q = const):
MRTSLK = – |
K |
|
|
|
. |
(6.7) |
|
L |
|||
Q ! % |
/ — - |
.
= . 6.7 % 1 2 MRTSLK *" 2, % + 40 . % 2 3 MRTSLK < " 1, " 2/3 1/3. $, / / *,< " , " -
< . |
, / % - |
||
|
, + |
< % — |
|
% < *. |
|||
( % , MRTSLK |
|||
|
< " . ) , / , |
||
|
|
- ! + , . I / |
-% , < . $, -% " % ! ! ! .
MRTSLK ’ % * * MPL MPK. I / < - < % , -% *
MPL· L.
115
!
K
4 |
|
|
|
||
|
3
2 |
|
|
|
D |
E |
|
|
|
|
|
|
|
|
|
|||
1 |
|
|
|
|
|
|
||
|
|
|
|
|
Q = 40 |
|||
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
L |
0 |
1 |
2 |
3 |
4 |
5 |
|
. 6.7. Q ! % /
' < - % " * * < -(% ) *" MPK · K. *-% *" *.
MPL · L + MPK · K = 0 |
|
MPL / MPK = – K / L = MRTSLK |
(6.8) |
(6.8) , / , * - , % ", % -< " . ' % + ! ! - " < % ! % / .
; % % % / * -* < ! , -* , / < . %!.
1. ( , / " + * G " + , " %
% , % |
! % / |
|
|
* |
* ( . 6.3). |
" |
|
2. |
/ ! + |
||
% |
! . MRTSLK |
" |
|
! ! ( . 6.2). |
|
116
Q + %-" % ,
’ % < |
! . - |
|
|
! < |
|
< |
. |
" < < |
, % " ;. < %% . " , ! * . <" -
% * ( ) - % . # < !-% ! , -! % % .
'; . + % < ! %
! ! . ) " |
< . |
= ! < |
- |
" * + "*: Q0 = f (L, K).
! |
|
|
|
|
|
|
|
24 |
|
|
|
|
|
D |
|
|
|
|
|
|
|
|
|
20 |
|
|
|
|
|
|
Q4 = 130 |
16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
|
|
|
|
|
Q3 = 100 |
|
|
|
|
|
|
|
|
|
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
|
|
|
Q2 = 50 |
|
|
|
|
|
Q1 = 20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
3 |
6 |
9 |
12 |
15 |
18 |
L |
. 6.8. E+ <
I / < % ( < - ) k , % :
Q1 = F (k · L, k · K).
117
& " :
) ; , k
(Q1 > k · Q0);
) ) ; , < -
k (Q1 = k · Q0);
) ; , <
k (Q1 < k · Q0).
; % / ! +-— . + " *, / < ! ! k
kt , Q1(kL, kK) = ktQ0 (L, K). |
(6,9) |
t ! " + . I /
(6,9) + |
" , |
|||
+ |
" . |
|
||
; |
!- |
|||
+ < , / : |
|
|||
t > 1 |
— + |
< ; |
|
|
t = 1 |
— + |
< ; |
|
|
t < 1 |
— % + |
< . |
|
|
D + + < |
% + ( . 6.8). = +-" + < : " , % < . <-
! " |
+ |
||
< , — % + |
< . |
- |
|
; , / + |
< ’ |
% : +-", *" , %< " .
+ < ( + % ) ’ "* ! ! .
1.. < " -/ " , / " .< ! " ! " % * < * *, / " / * -< * .
2.( . B < <% / * % * . = , -
"< -
< + . < < -, / % *
118
* . — + / .
3. '; . = +< + ! % -. # < % !< % -. ! + % " ! % . $, < ++ * / % .
4. J < . < -" < - , + . #’ , , " -, , <
! ! , " |
* . |
|
|
+ |
< % " ! % !, |
||
( ! ) ! |
|
||
* . < |
- |
||
% < ! |
% % |
||
! . = % + |
< , , ’- |
||
|
|
|
- |
. H ( ! - |
) < -«-»; % < " .% % % / * , , -
! |
% , - |
! ! . H |
% , - |
** % , * , / + - ! < .
< % -" " + , , * -+ < : , , % . ^! % + % ,/ .
$, / / + < ( < ! - ! ) ! + . %-* < + < , %- , " % , *"% , + *
* *. % |
% * + , , |
, |
! % ! + , |
!. |
|
119
' < ! !- % % , % " ! < +- ! . ) !+ , , / ! +-— * .
% % %&
.+ .
+ / + .+ H-D % .
+ G . Q ! % / . Q % + . D % .
' % % + . ' .
( . H .
H . # " . = % + < .+ < .+ < .
; % + . ! % .
O ( ). O .
%%' (' )% * + &
|
# |
|
|
1. |
? " % % ! ? |
||
I / , ? |
! % - |
||
2. |
I ’ |
* % |
|
/ % |
? (D ) |
||
3. |
I ’ |
% |
|
? |
|
||
4. |
? " + |
< ! -! % % ? |
120