Page 127 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math7-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ le:i iQyu ,oa ;wylZ izes;

;fn α , β ? ) iSekus dk c<+rk gqvk izfriQy dk;Z'khy gksxkA uksV

rFkk α , β @ ) iSekus dk ?kVrk gqvk izfriQy dk;Z'khy gksxkA

7-3-1 dkWc&MksXyl mRiknu iQyu dh fo'ks"krk,¡
!
"

1- ;fn mRifÙk osQ lk/uksa esa fdlh fLFkj jkf'k λ ls o`f¼ dh tkrh gS rks mRiknu Hkh λ xq.kk c<+ tk;sxkA
β
dkWc&MksXyl mRiknu iQyu ( ! gS rks ;fn Je rFkk iw¡th λ ls xq.kk c<+k fn;s tk;sa rks
α
α
β

( $ λ λ !

β
α
% λ α β $ !
α
β
( λ $ ! ;fn α , β (
( λ
Y
M
Factor-K B 3 2 Q R 300

B
B P 200
1
100

O A A A
X
1 2 3
Factor-L
js[kkfp=k 7-2

bl izdkj ftl vuqikr esa lk/uksa dks c<+k;k tkrk gS mlh vuqikr esa mRiknu Hkh c<+ tkrk gSA bldks js[kkfp=k
7-2 dh lgk;rk ls Hkh Li"V fd;k tk ldrk gSA v{k ij lk/u (Je) rFkk v{k ij lk/u (iwath)
dks fy;k x;k gSA mRiknu dh 100 bdkb;k¡ mRikfnr djus osQ fy, lk/u dh $ bdkb;k¡ rFkk lk/u

dh & bdkb;k¡ dke esa yh tkrh gSaA ;fn mRiknu dh 200 bdkb;k¡ mRikfnr djrs gSa rks lk/u rFkk lk/

u ' dks Hkh nqxquh vko';drk iM+sxhA ;gk¡ $ fcYoqQy $ dk nqxquk gSA blh izdkj & fcYoqQy &

dk nqxquk gSA blh izdkj mRiknu dh 300 bdkb;ksa osQ fy, lk/u $ rFkk & dks rhu xquh bdkb;ksa dh
vko';drk gksxhA tSlk fd js[kkfp=k 7-2 esa Li"V fd;k x;k gSA
bldks nwljs rjhosQ ls Hkh Li"V fd;k tk ldrk gSA mRiknu dk foLrkj iFk gS tks
rFkk ' larqyu
fcUnqvksa dks feykrh gSA ;s lHkh larqyu fcUnq leku vUrj ij gksaxs vFkkZr~ ( ( '] tks ;g crkrk gS
fd mRiknu mlh vuqikr esa c<+sxh ftl vuqikr esa lk/u c<+k;s tkrs gSaA
2- mRiknu iQyu le:i rFkk ,d dksfV dk gksrk gS% ;fn mRiknu iQyu le:i rFkk ,d dksfV '

dk gksrk gS rks mldk vfHkizk; ;g gS fd mRiknu fLFkj iSekus osQ izfriQy osQ varxZr vkrk gS] vFkkZr~
α
β
mRiknu iQyu] ( $ !
nksuksa rjiQ . ' ysus ij