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Tuesday, August 9, 2011

Answered of Task Management Company

TUGAS MANAGEMENT PERUSAHAAN

Soal :
1.       Suatu Perusahaan meproduksi Flashdisk, mempunyai biaya tetap Rp. 30.000.000 / bulan,
Harga jual per unit Flashdisk sebesar Rp. 60.000.000. Pada tingkat produksi 1500 unit, Perusahaan merugi sebesar Rp. 7.500.000. Tentukan ?
a.       Biaya Variable per unit
b.      Tingkat produksi BEP
c.       Laba, jika produksi sebesar 5000 unit

2.       Perusaaan Furniture memproduksi Meja Komputer dan Rak DVD. Tiap 1 unit Meja Komputer membutuhkan 4 balok dan 3 papan, dan tiap 1 unit Rak DVD membutuhkan 2 balok dan 4 papan
Perusahaan mempunyai persediaan 100 balok dan 120 papan. Keuntungan per unit Meja Komputer sebesar Rp. 50.000 dan Rak DVD sebesar Rp. 60.000
Berapakah keuntungan Maksimal Perusahaan tersebut ?


Jawab

1.       Dik :
FC = 30.000.000
P = 60.000
Pada Q = 1500, maka p = - 7.500.000

a      f = …….?

Jika Q = 1500
TR = P x Q                                                           
     = 60.000 x 1500                                                                 
     = 90.000.000

              p  = TR – TC
-7.500.000 = 90.000.000 – TC 
-7.500.000 – 90.000.000 = - TC
- TC = - 97.500.000
  TC =   97.500.000

             TC = FC + VC
97.500.000 = 30.000.000 + VC
97.500.000 – 30.000.000 = VC
VC = 67.500.000                                 -----------®                     VC = f x Q
67.500.000 = f ( 1500 )
                                                                                                    f = 67.500.000
                                                                                                                1500
                                                                                                    f = 45.000



b. BEP = ………?                                              C.  pee =……? Jika Q = 5.000

           TR = TC                                                 TR = 60.000 x Q
60.000 Q = 30.000.000 + 45.000 Q                       = 60.000 x 5.000 = 300.000.000
60.000 Q – 45.000 Q = 30.000.000
15.000 Q = 30.000.000                                    TC = 30.000.000 + ( 45.000 x Q )
            Q = 30.000.000                                         = 30.000.000 + ( 45.000 x 5.000 )
                         15.000                                         = 30.000.000 + 225.000.000
            Q = 2.000                                                 = 255.000.000
                                                                                                              
                                                                        pee  =   TR  –  TC 
                                                                               = 300.000.000 – 255.000.000
                                                                               = 45.000.000

2.       Dik :


Meja Komputer
( X )
Rak DVD
( Y )
Persediaan
Balok
4
2
100
Papan
3
4
120

Laba untuk Meja = Rp. 50.000 dan Rak = Rp. 60.000
Rumusan :

 ƻ = 50.000 x + 60.000 y
Syarat :
-          ( i  )  4x + 2y ≤ 100
-          ( ii )  3x + 4y ≤ 120

I.                   Titik Koordinasi

( i  )  4x + 2y ≤ 100 jika x = 0 maka                              4x + 2y ≤ 100 jika y = 0 maka
         4(0) + 2y ≤ 100                                                          4x + 2(0) ≤ 100
                    2y ≤ 100                                                                        4x ≤ 100
                      y ≤ 100                                                                          x ≤ 100
                              2                                                                                     4
                      y ≤ 50                                                                            x ≤ 25
          ( 0 , 50 )                                                                        ( 25 , 0 )

( ii )  3x + 4y ≤ 120 jika x = 0 maka                              3x + 4y ≤ 120 jika y = 0 maka
         3(0) + 4y ≤ 120                                                          3x + 4(0) ≤ 120
                    4y ≤ 120                                                                        3x ≤ 120
                      y ≤ 120                                                                          x ≤ 120
                              4                                                                                    3
                      y ≤ 30                                                                            x ≤ 40
        ( 0 , 30 )                                                                          ( 40 , 0 )

II.                

III.             Titik Potong C                                            IV.   ƻ ( Laba Maksimal )
                                                                             Dimana ƻ = 50.000x + 60.000y
Pers. ( i ) dan Pers. ( ii )
                                                                      A ( 0,30 )    ƻ = 50.000(0) + 60.000(30)
       4x + 2y = 100 x 2 = 8x + 4y = 200                                = 180.000
       3x + 4y = 120 x 1 = 3x + 4y = 120
                                            5x = 80              B (16,18)   ƻ = 50.000(16) + 60.000(18)
                                              x = 80                                    = 800.000 + 1.080.000
                                                     5                                     = 1.880.000               
                                              x = 16                                                     
                                                                      C (25,0)   ƻ = 50.000(25) + 60.000(0)
                                                                                          = 1.250.000
4   x   + 2y = 100
4(16) + 2y = 100
   64   + 2y = 100
2y = 100 – 64                                             V.  Kesimpulan
  y = 36
         2                                                         Agar Perusahaan mendapat laba Max.
  y = 18                                                        maka perusahaan harus membuat :

Jadi koordinat B adalah ( 16 , 18 )                Meja Komputer sebanyak 16 unit
                                                                    Dan Rak DVD sebanyak 18 unit

                                                                     Agar mendapat Laba sebesar
                                                                     Rp. 1.880.000


Created by : Frans_dwayne@yahoo.com

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