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






                                                                           fJekJh^11 L gqshpzX T[uso ns/ fBwBso

                iK 6 y = 18 iK y = 18/6 = 3                                                       B'N
                y dk wkB d[pkok ;wheoD (iv) ftZu oZyD s/
                                                  2x + (3 × 3) – 18 = 0
                iK 2x = 9 iK x = 9/2 = 4.5
                fJ; soQK x ns/ y dh wzr ikDB tkbh wksok eqw nB[;ko 4H5 ns/ 3 gqkgs j't/rh.
                T[dkjoD 3L cow dk ft;sko gE T[;d/ ekoeK d/ e[ZbQ you o{g ftZu eZY' i/eo T[sgkdB
                cbB fdZsh j'Jh j?^ P = 12 log L + 30 log K
                ns/ fJ;d/ ndktK dh ehwsK P L  = 2 ns/ P 2  = 5 j?.
                (Find the firm’s expansion paths expressed in terms of its total expenditure on its inputs in the
                given production function is P = 12 log L + 30 log K and the input prices are P L  = 2 and P K  =
                5)
                jZb L fJZE/ T[sgkde dk w[Zy T[d/P nkgD/ T[sgkdB (P) B{z tZX s'A tZX eoBk j? id'A fe T[;dk
                gqshpzX (e[ZbQ bkrs) fBwB j?^
                                                               TC = 2 L + 5 K
                b/Aro/Ai r[De λ dk gq:'r eoB s/

                                                                 Z = 12 log L + 30 log K + γ (TC – 2 L – 5 K)
                Z B{z K ns/ λ d/ ;zdoG ftZu tZy^tZy o{g ftZu nzfPe fBy/VB eoB s/

                                                                                                                                                              ....(i)

                                                                                                                                                             ....(ii)

                                                                                                                                                            ....(iv)

                ;wheoD (i) ns/ (ii) B{z b?D s/



                d'BK B{z se;hw eoB s/




                iK

                iK

                iK
                ;wheoD (11H1) ftZu L dk wkB oZyD s/


                iK

                ns/



                                           LOVELY PROFESSIONAL UNIVERSITY                                               177
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