Page 186 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math11-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N 1H gsk j?^
T[g:'rsk cbB, U = q 1 q 2

gfjbh t;s{ dk w[Zb, P 1 = 4 o{L
d{ih t;s{ dk w[Zb, p 2 = 10 o{L
T[gG'esk dh nkwdB, Y = 100 o{L
t;s{ dh Q 1 ns/ Q 2 dk T[gG'r dk ;zs[fbs ;so dZ;' ns/ nfXeheoD dhnK PosK dh
g[PNh eo'. T[Zso L
 25 
  q 1 2 ,= 2 5q =  

2H i/eo T[g:'rsk cbB U = 4q 1 q 2 + 3q 1 ns/ nkwdB fBopZX (Constraints) 60 = 2q 2 +
6q 1 j't/ sK tZX s'A tZX T[g:'rsk bJh Q 1 , Q 2 , dhnK wksoktK gsk eo'.

(T[Zso L q 1 = 16.125, q 2 = –
4.625)
3H i/eo s[PNhr[D cB U = (x 1 , x 2 ) = 2log x 2 j't/ sK gfjbh t;s{ d/ bJh wzr teo eh
j't/rk< i/eo e[ZbQ nkwdB W j? ns/ d' t;s{nK dh ehwsK p 1 ns/ p 2 jB.
 2W W 
T[Zso x = , x = 

1
p 1  2 3p 2 
11H3 ;koKP (Summary)

• wzB fbU fJZe cow d' T[sgkd Q 1 ns/ Q 2 dh wksok q 1 ns/ q 2 dk eq: eqw nB[;ko p 1
ns/ p 2 dh ehws T[Zs/ eq: eodh j? sK nfijh dPk ftZu e[ZbQ nkrw j't/rk^

R = p 1 q 1 = p 2 q 3
• wzB fbU cow fJZe fBors (Input) s'A d' T[sgkdK (Ouput) θ 1 ns/ θ 2 dk T[sgkd
eodh j?. nfijh dPk ftZu X d ;zdoG ftZu cow d/ d' T[sgkd dh bkrs (x), q 1 ns/
q 2 dk cbB j't/rk. Gkt x = h (q 1 , q 2 )
• bkG θ 1 ns/ θ 2 T[sgkd dh wksok q 1 ns/ q 2 dk cbB j[zdk j?^ π = p 1 q 1 + p 2 q 2 – rh
(q 1 q 2 )
• jkBh g{oe wzr t;s{ dh T[j wksok do;kT[Adk j? fijVh fJZe T[gG'esk fBPfus PosK
(fit/A eo, nkofEe ;jkfJsk) nkfd d/ nzsors eq: eodk j?.
11H4 Ppde'P (Keywords)

• gqfefonk (Operation) ^ fefonk.
• nkpzX (Condition) ^ Pos.
11H5 nfGnk; gqPB (Review Questions)

1H bkG nfXeheoD B{z ;gPN eo'.

2H jkBhg{oe wzr cbB eh j?< toDB eo'.
2 2
3H i/eo d' t;s{nK x ns/ y dh T[g:'rsk cbB U = 3x y ns/ piN ;hwk 2x + 3y = 18
j't/, sK x s/ y t;s{nK dh wzrh ikD tkbhnK wksoktK B{z gsk eo'.
(T[Zso L x = 4.5, y = 3)

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