Minggu, 28 Juni 2015

Tugas Ekonomi Manajerial



Nama kelompok :
1.      Ahmad Zainul Arifin  (115100  )
2.      Nadya El Madania      (115100  )

Diketahui
Q
FC
VC
TC
0
70
10
80
1
70
15
85
2
70
20
90
3
70
35
105
4
70
65
135
5
70
90
160
6
70
100
170
Ditanya

a.              TC = ?
b.              AC = ?
c.              MC = ?
d.      OO = ?
e.       Hd = ?
f.       Π = ?


Jawab
TC       : aQ2 + bQ + c
90        =a (2)2 + b2 + c           => 90               = 4a + 2b + c               (1)
105      = a (3)2 + b3 + c          => 105             = 9a + 3b + c               (2)
                                                     -15              = -5a – b + 0    x (-)     (4)
                                                    15                = 5a + b
                       
= >135             = 16a + 4b + c             (3)
                                                = > 105            = 9a + 3b + c               (2)
                                                      30              = 7a + b + 0                 (5)


(5)(4)
30        = 7a + b
15        = 5a + b    -
15        = 2a
a          = 15/2 = 7,5

30        = 7 (7,5) + b
30        = 52,5  + b
30 – 52,5 = b
b          = - 22,5


90             = 4a + 2b + c  
90             = 4 (7,5) + 2 (-22,5) + c
90             = 30  -45 + c
90             = -15 +c
90 + 15     = c
c               = 105

a.        TC           = 7,5 Q2 – 22,5 Q + 105

b.      AC           = TC
     Q
= 7,5 Q – 22,5 + 105
                             Q

c.       MC           =      TC
        Q  
= 15 Q – 22,5

d.      OO           = d TC
    d Q
MC                  = AC
15 Q – 22,5      = 7,5 Q – 22,5 + 105
                                                      Q
7,5 Q               = 105
                                          Q
            Q2                    = 105
                                        7,5
                                    = 14
            Q                     = √14
                                    = 3,7416

e.       Hd                       
MC      = AC
AC      = 7,5 Q – 22,5 + 105
                             Q
            = 7,5 (3,7416) – 22,5 + 105
                                    3,7416
= 28,062 – 22,5 + 28,062
= 33,624
            Bukti
            MC      =  15 Q – 22,5
                        = 15 (3,7416) – 22,5
                        = 33,624

f.       Π  ? ditentukan MC : 60.
MC      =  15 Q – 22,5
60        = 15 Q – 22,5
82,5     = 15Q

Q         = 82,5
                 15
     Q         = 5,5
TR            = P x Q
                 = 60 x 5,5
                 = 330

            C         = 7,5 Q – 22,5 + 105
                                                     Q
                 = 7,5 (5,5) – 22,5 + 105
                                                   5,5
                 = 41,25 – 22,5 + 19,09
                 =37,84

TR            = 60 x  5,5       = 330
TC            = 37,84 x 5,5   = 208,12
                                         = 121,88



 



60

37,84
33,62

             
                        3,,74   5,5


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Tugas Ekonomi Manajerial

Nama kelompok : 1.       Ahmad Zainul Arifin   ( 115100   ) 2.       Nadya El Madania       ( 115100   ) Diketahui ...