kunci-matek-11-12

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    KUNCI JAWABAN MATEMATIKA EKONOMIUAS GASAL 2011/2012 - MANAJEMEN S1 SEMESTER 1

    FAKULTAS EKONOMI UMK 

    1.Diketahi! - ME " #2-#-20- S " $%-1$

    Dita&'aka&! ηD (a& ηS)

     Ja*a+!

    D"S ME, a(i D = S – ME

    = $%-1$ . #2-#-20 " $%-1$ - #2#20

      D = - X2 +6X+5

    ME " #-2-#-20

      0 " ##-$

    # "- (a& #"-$ (i3i4ih 'a&5 367iti8, a(i X= 5  3 " $#-$ " $ $-$ " 2$-1$

     p = 10

    a)  ηD)D " - #29#$ D: " -2#9 "

    -2$9 " -109

    b) S " $%-1$ S: " $

    2.Diketahi ! MR " 10 (a& MC " #2-;#9Dita&'aka&!

    a) X?• S'a>

      X= 4

    (   π?a%)

    π?a% MR " MC 10" #2-

    ;#9  #2-;#- " 2-;- " 19-

    12-"0

      max = 0

    b) TR?

     

     J?4ah ! TR " 10# " 10

    e  ?π " TR-TC π " 10#-9/;

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      TR = 40  " 10- " 0 - "

    "

    c) p?

    p = 10

    f) TC ?

      9#

    9#

    " 9

      TC" 2

     

    3.Diketahi ! De?a&( ;@"$-0,$ 32

      S334' 0,1$32"1$ - @

      e ! $Dita&'aka& !

    a SUR!US "#$SUME$ %CS)? Ja*a+!;@"$-0,$ 32 @ " 2$-0,2$2

      2$"0,2$ 2

      100"2

      = 10

    CS "

    CS "

    CS "

    CS " -

    CS " -

    CS " 2$0-;,; . 11,$CS " 199, . 11,$

    CS = 52&15

    +SUR!US R#DUSE$ %S)? Ja*a+!

    0,1$32"1$ - @ @ " 0,1$32-1$

     @ " 0,2$32-2$0 "0,2$32-2$

    2$ "0,2$ 2

      100 "2 = 10

    S "

    S "

    S "

    S " -

    0 10

    @ 2

    $

    0

    0 1

    0@ 2

    $

    0

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    S " -

    S " 11,$ - 2$0-;,;S " 11,$ . 199,

    S = -52&12