Page 341 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math25-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^25 L j"feB;^f;w'B dhnK PosK

1,750  X  B'N
a = = 0.70 = 21 

21
2,500  X 1 
1,600  X 
a = = 0.20 = 22 

22
8,000  X 2 
fJ; soQK fdZsh rJh seBheh w?fNq;
T[d:'r 1 2

∴ A = 1 0H20 0H20
2 0H70 0H20
fwjBs 0H10 0H60

−
−
−
 1 0.20 0.20   0.80 .20
and (I − ) A =   =  
−
−
 0.70 1 0.20   − 0.70 0.80 
−
0.80 0.20
∴ (I − ) A =
− 0.70 0.80
0.80 0.80 0.20 0.70= × − × = 0.50
feT[Afe I − A XBkswe j? ns/ (I – A) d/ w[Zb fteoD d/ ;ko/ sZs th XBkswe j'Dr/, fJ; bJh
j"feB; ns/ f;w'B dhnK PosK g{oD j[zdhnK jB fJ; soQK gq:'re gZXsh dk fJZe jZb j?.
T[dkjoDL fdZsk j?l

 0.1 0.3 0.1 

A =   0 0.2 0.2

  0 0 0.3 
ns/ nkyoh wzr F 1 , F 2 and F 3 j? output dk ;so eZY'
ns/ nkyoh wzr jB F 1 , F 2 ns/ F 3 . nkdoP dh fB:fwssk d/ Bkb fBors ;so gsk eo'.
fBors ;so eh j't/rk i/eo F 1 = 20, F 2 = 0 ns/ F 3 = 100 j't/<
 X 1  F 
1 
T[Zso^ =   X 2  = (I − ) A − 1   F 2   
  X    F  
3 
3
−
−
0.9 0.3 0.1
−
j[D, (I − ) A = 0 0.8 0.2
0 0 0.7
;fjGkie fJ; soQK j?L
−
0.8 0.2
A = = 0.56
11
0 0.7
−
0 0.2
A =− = 0
13
0 0.7

LOVELY PROFESSIONAL UNIVERSITY 335