Page 34 - DECO403_MATHEMATICS_FOR_ECONOMISTS_ENGLISH
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==  ": J5F=56@9 BIA69F 0 =G 89D9B898 CB J5F=56@9 BIA69F /  H<9B K<5H KCI@8 MCI 75@@ 0     /    ";@1
                      5   &I@H= J5F=56@9 :IB7H=CB   6   ,=B;@9 J5F=56@9 :IB7H=CB
                      7    LD@=7=H :IB7H=CB         8   "AD@=7=H  IB7H=CB
                  ===   IB7H=CB 9LDF9GG98 =B H<9 :CFA C: :F57H=CB   =B K<=7< BIA9F5HCFG 5B8 89BCA=B5HCFG 5F9 C:
                     5@;96F5=7 :IB7H=CB C: 9LDCB9BH=5@ J5@I9  =G 75@@98
                      5   5@;96F5=7 :IB7H=CB        6   (88 :IB7H=CB
                      7   F5H=CB5@ :IB7H=CB         8   IB89:=B98  IB7H=CB

                      'A99->E

                     -<9 F5H9 C: 7<5B;9 =B H<9 J5@I9 C: CH<9F BIA69F 5B8 EI9GH=CBG F9@5H98 HC F5H9 C: GI7< 7<5B;9
                     5B8 5B5@MG=G 5B8 GHI8M C: :IB7H=CBG =G F9:9FF98 HC 5G  =::9F9BH=5@  5@7I@IG
                      <5B;=B; EI5BH=H=9G 5F9 F9:9FF98 HC 5G J5F=56@9G   *I5BH=H=9G :CF K<=7< J5@I9G ?99D CB 7<5B;=B;
                     J=N K<=7< 75B 69 ;=J9B =B89:=B=H9 BIA9F=75@ J5@I9G 5F9 /5F=56@9G
                     'IA69FG :CF K<=7< J5@I9 =G IB7<5B;956@9 IB89F 5BM DFC79GG C: A5H<9A5H=7G  5F9 7CBGH5BHG
                     -<9 DF=B7=D@9 C: :IB7H=CBG =G AIHI5@@M 65G98 CB H<9 F9@5H98 EI5BH=H=9G
                     ": :IB7H=CB           =G 89:=B98  H<9B BCB 9ADHM G9H   =G 75@@98 8CA5=B C: H<=G A5DD=B; CF
                     :IB7H=CB  :  5B8 BCB 9@9A9BH G9H     KCI@8 69 =HG F5B;9 CF 7C8CA5=B

                     ": J5F=56@9 0 =G CB@M 89D9B89QW CB J5F=56@9 /  H<9B 0     /  =G 75@@98 :IB7H=CBG C: G=B;@9 J5F=56@9
                     ,=A=@5F@M 0     E   *      +   -     +  9H7  5F9 :IB7H=CBG C: G=B;@9 J5F=56@9
                     ": J5F=56@9 W =G 89D9B89QW CB J5F=56@9 / 5B8 0  H<9B ,     /  0  =G 75@@98 :IB7H=CBG C: A5BM
                     J5F=56@9
                      IB7H=CB K=H< 8=::9F9BH 9LDCB9BH=5@ J5@I9 C: / J5F=56@9  =B K<=7< :57HCFG 5F9 79FH5=B =G 75@@98
                     5@;96F5=7 :IB7H=CB
                      IB7H=CB 9LDF9GG98 =B H<9 :CFA C: :F57H=CB  =B K<=7< BIA9F5HCFG 5B8 89BCA=B5HCFG 5F9  C:
                     5@;96F5=7 :IB7H=CB C: 9LDCB9BH=5@ J5@I9  =G 75@@98 F5H=CB5@ :IB7H=CB

                     -<9F9 5F9 A5BM IG9G C: @=B95F :IB7H=CBG 5B8 G=AD@9 @=B9G =B 97CBCA=7G  -<9 DF=79 C: 7CAAC8=HM
                     =B H<9 A5F?9H  =G 89H9FA=B98 6M 89A5B8 5B8 GIDD@M  ": 89A5B8 5B8 GIDD@M :IB7H=CB =G ;=J9B
                     H<9B 5H H<9 9EI=@=6F=IA @9J9@  K9 75B 89H9FA=B9 GI7< 5 @9J9@ C: DF=79 5B8 EI5BH=HM  K<9F9 6CH<
                     H<9 G9@@9F 5B8 7IGHCA9F KCI@8 69 G5H=G:=98
                     -<9 G=AD@9 @=B9 K<=7< ;C9G :FCA /9FHF=L 5B8 =G D5F5@@9@ HC  =F97HF=L  =G 75@@98 H<9 5L=G C: H<9
                     D5F56C@5


                       1EC;>0?

                              ::97H98 5F95
                            ,9F=9G  @=A=HG C: J5F=5H=CB

                      &1B51C %A1?@5;:?

                      LDF9GG H<9 :C@@CK=B; :IB7H=CBG K=H< ;F5D<
                      5   0     /      Z  /   :CF F5B;9 /   Z   HC /

                      6   0     /     /  Z  /       :CF F5B;9 /   Z  HC /

                      7   0             /   :CF F5B;9 /     HC /
                                   /

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