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bdkbZ 7 % ek¡x fl¼kar esa uwru fodkl





          D;ksafd ;g miHkksDrk dh ctV js[kk 1|X –1|X  dh igq¡p ls mQij fLFkr gSA vr% osQoy fcanq M b"Vre  uksV
                                             1
                                        2
          mi;ksfxrk U;wurehdj.k dk gSA
                                             fp=k 7-4
                                     λ
                                      2


                                 1/X
                                    1




                                                   M

                                                                IIC
                                                                  3
                                                               IIC
                                                                  2
                                                              IIC
                                                                1    λ
                                    O                                 1
                                                           1/X
                                                              1

          izR;{k vkSj ijks{k mi;ksfxrk iQyuksa esa Hksn
          (Difference between Direct and Indirect Utility Functions)
          izR;{k mi;ksfxrk iQyu mnklhurk oØ iz.kkyh lacaèk j[krk gS vkSj ijks{k mi;ksfxrk iQyu dk lacaèk Hkh
          mnklhurk oØksa ls gS ftUgsa ijks{k mnklhurk oØ dgrs gSaA bu nksuksa esa fuEu lekurk,¡ ikbZ tkrh gSaA
            1- nksuksa izdkj osQ oØ fcYoqQy ,d tSls yxrss gSaA
            2- nksuksa ewy osQ mUurksnj (Convex) gSaA
            3- bu oØksa osQ fdlh Hkh fcanq ij miHkksDrk mnklhu gksrk gS D;ksafd mls izR;sd ij leku mi;ksfxrk izkIr
               gksrh gSA
          ijarq bu nksuksa izdkj osQ oØksa esa ,d eq[; varj ik;k tkrk gSA mQ¡ps izR;{k mnklhurk oØ mQ¡ps mi;ksfxrk
          Lrjksa osQ lkFk lacafèkr gksrs gSaA blosQ foijhr mQ¡ps ijks{k mnklhurk oØ fupys mi;ksfxrk Lrjksa osQ lkFk
          lacaafèkr gksrs gSaA

          7-4 O;; iQyu (The Expenditure Function)


          miHkksDrk O;; iQyu ;g crkrk gS fd miHkksDrk viuk O;; oSQls de djrk gS] oLrqvksa dh dhersa vkSj
          mi;ksfxrk Lrj fn, gksus ij miHkksDrk O;; iQyu dh O;qRifÙk js[kh; izksxzk¯ex rduhd ij vkèkkfjr gSA
          miHkksDrk O;; dks U;wure djus osQ yf{kr iQyu dk gy gSμ
                              ∑ PX
          Min                     i  i
                               i
          Subject to         U (X)  ≥  U                                          ---(1)
          tgk¡ P X  oqQy O;; gS ftls U;wure fd;k tkuk gS c'krsZ fd bl izfrcaèk fd mi;ksfxrk Lrj ls U ls de
               i i
          u gksA lehdj.k (1) dk gy dherksa osQ ewY;ksa vkSj mi;ksfxrk Lrj ij fuHkZj djrk gS ftls bl izdkj fy[kk
          tk ldrk gS]


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