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Example
 ABC Co. Ltd has four production departments
 P1, P2, P3 and P4 and three service departments
 S1, S2 and S3.
            S1 –stores
            S2 –production control section
            S3 –maintenance department
 Calculate for each production department an
 appropriate overhead absorption rate per machine
 hour.
Calculate the total cost of each department.

The annual overheads are as follows:
Information

Cost                     Total (Rs.’000)
Indirect labour          2,000
Supervision              200
Power                    600
Rent                     80
Insurance -Building      160
Insurance -Plant         100
Depreciation -Building   240
Depreciation -Plant      120
Information

               Indirect Labour Costs

       Cost centres       Actual costs
                          Rs.’000
       P1                 300
       P2                 200
       P3                 500
       P4                 100
       S1                 200
       S2                 300
       S3                 400
Information
                      P1      P2      P3      P4      S1      S2      S3      Total


No. of employee       400     400     500     600     30      20      50      2,000

Floor Area (Sq.M)     3,000   9,000   8,000   8,000   1,000   1,000   2,000   32,000


Power (KWHrs)         7,000   5,000   3,000   2,000   1,500   500     1,000   20,000


Pro.Cntrl Hours       4,000   5,000   5,000   3,000   -       -       1,000   18,000


Stores Requisitions   600     300     250     150     -       400     300     2,000


Maint. Dept Hours     6,000   8,000   5,000   6,000   -       -       -       25,000


Plant Hrs (‘000)      120     80      200     100     -       -       -       500


Book value of plant   300     200     100     80      120     50      150     1,000
(Rs.’000)
Allocation of costs to Production and Service Departments
Item           Basis        Total   P1        P2    P3    P4        S1         S2        S3

Ind. Labour    Actual        2000    300      200   500    100       200        300 400

Supervision    No. of         200        40    40    50        60         3          2     5
               employee
Power          KWHr           600    210      150    90        60        45         15    30

Rent &         Floor area      80    7.5 22.5        20        20        2.5    2.5        5
Rates
Insurance      Floor area     160        15    45    40        40         5          5    10
Building
Insurance    Book value       100        30    20    10         8        12          2    15
Plant
Depreciation Floor area       240   22.5 67.5        60        60        7.5    7.5       15
Building
Depreciation Book value       120        36    24    12    9.6       14.4            6    18
Plant
Total                        3500    661      569   782   357.      289.4       343 498
                                                             6
Calculation
Item             Basis        Total P1
Ind. Labour      Actual        2000                        300.0
Supervision      No. of        200 (200/2,000)*400     = 40.0
                 Employee
Power            KWHr          600 (600/20,000)*7000   = 210.0
Rent & rates     Floor area     80 (80/32,000)*3000    =     7.5
Insurance -B     Floor area    160 (160/32,000)*3000   = 15.0
Insurance-P      Book value    100 (100/1,000)*300     = 30.0
Depreciation-B   Floor area    240 (240/32,000)*3000   = 22.5
Depreciation-P   Book value    120 (120/1,000)*300     = 36.0
Total                          3500                        661.0
Reallocation of Service Department Overheads to
   Production Departments
Item     Basis   Total P1       P2          P3          P4          S1       S2       S3

Total            3500   661.0    569.0        782.0      357.6      289.4    343.0    498.0
costs

S1-      Store   -       86.8        43.4        36.2        21.7       -     57.9     43.4
stores   req                                                        289.4

S2-Pro Prodn 3500       748.8    612.4        818.2      379.3           -    400.9   541.4
Control control          89.1   111.35       111.35       66.8           -   -400.9    22.3


S3-      Main    3500   837.9   723.75       929.55      446.1           -        -   563.7
Maint    Hrs            135.3    180.4        112.7      135.3           -        -       -
                                                                                      563.7
Total            3500   973.2   904.15 1042.25           581.4           -        -        -
S1-      Store   -       87.8   43.4   36.2   21.7   (289.4)   57.9   43.4
stores   req


• S1        P1       (289.4/2000)*600 = 86.82 ≈ 86.8
            P2       (289.4/2000)*300 = 43.41 ≈ 43.4
            P3       (289.4/2000)*250 = 36.18 ≈ 36.2
            P4       (289.4/2000)*150 = 21.71 ≈ 21.7
            S2       (289.4/2000)*400 = 57.88 ≈ 57.9
            S3       (289.4/2000)*300 = 43.41 ≈ 43.4
                            Total              289.4
S2-Pro Prodn      3500   748.8    612.4    818.2   379.3   - 400.9     541.4
Control control           89.1   111.35   111.35    66.8   - (400.9)    22.3




  • S2       P1 (400.9/18,000)* 4000= 89.08 ≈ 89.1
             P2 (400.9/18,000)* 5000=111.35
             P3 (400.9/18,000)* 5000=111.35
             P4 (400.9/18,000)* 3000=66.81 ≈ 66.8
             S3 (400.9/18,000)* 1000=22.27 ≈ 22.3
S3-      Plant   3500   837.9   723.75 929.55 446.1    -        -      563.7
Maint    Hrs            135.3    180.4  112.7 135.3    -        -    (563.7)




    S3       P1 (563.7/25,000)*6000         =135.288       ≈ 135.3
             P2(563.7/25,000)*8000          =180.384       ≈ 180.4
             P3(563.7/25,000)*5000          =112.74        ≈ 112.7
             P4 (563.7/25,000)*6000         =135.288       ≈ 135.3
                          Total                              563.7
Calculation of appropriate departmental
              overhead rates
• Based on machine hours
 P1   = 973.3/120    = 8.11    per M/C hour
 P2   = 904.15/80    = 11.30   per M/C hour
 P3   =1042.25/200   = 5.21     per M/C hour
 P4   = 581.4/100    = 5.81     per M/C hour
Charging Overhead Rates to Products

  Overhead costs in each cost centre should be
  absorbed by the products, at an absorption rate
  of each product.

Pro.Dep.    Job1(hours)   Job2(hours)   Job3(hours)
P1          3             12            1.5
P2          2.5           0             4
P3          0             5             10
P4          5             0             3
• Then, based on the production hours the
  overhead costs chargeable are as follows:

• Job 1 = 3*8.11+2.5*11.3+5*5.81 = 81.63

• Job 2 = 12*8.11+5*5.21 = 123.37

• Job 3 = 1.5*8.11+4*11.3+10*5.21+3*5.81 =
Allocation service department costs
Example
  A manufacturing firm has three production
  departments, P1, P2 and P3, and two service
  departments, S1and S2. the following costs are
  shown in the overhead distribution sheet.
  production dep. P1 = Rs. 5000
  production dep. P2 = Rs. 8000
  production dep. P3 = Rs. 6000
  service dep. S1     = Rs. 1280
  service dep. S2     = Rs. 3000
Total                 = Rs.23,280
• The costs of the two service departments S1
  and S2 are to be re-apportioned to production
  departments using the following basis.
                       S1         S2
           P1          20%        30%
           P2          40%        30%
           P3          10%        20%
           S1           -         20%
           S2          30%         -
           Total      100%        100%
•   There are 3 basic methods of allocating
    service department costs.

     1. Continuous Allotment
     2. Simultaneous Equation method
     3. Specified order of Re-Allocation
Continuous Allotment
Costs of service departments are re-allocated to other
departments repeatedly until the amount remaining is too
insignificant.

                       s1            s2
          P1           20%           30%
          P2           40%           30%
          P3           10%           20%
          S1            -            20%
          S2           30%            -
          Total       100%          100%
Total          P1      P2   P3     S1      S2


Cost before        23280        5000   8000 6000    1280    3000
re-allocation
Dept S1                          256    512 128 (1280)     384
Dept. S2                        1015   1015 677     677 (3384)
                                 135    271    68 (677)    203
                                  61     62    40     40 (203)
                                   8     16     4  (40)     12
                                 3.6    3.6   2.4    2.4  (12)
                                   4      4     3      -     -
Total                   2380    6479   9880 6920
Simultaneous equation method

X=total cost of S1 after receiving 20% cost of S2
Y=total cost of S2 after receiving 30% cost of S1
X=1280+0.2Y
Y=3000+0.3X
By solving two equation above,
X=2000        and Y=3600
As above      Total    P1     P2      P3
Cost before                    19000    5000   8000    6000
re-allocation
Dept S1          2000          1400*    400*   800*    200*

Dept S2          3600          2880     1080   1080    720

Total                          23280    6480   9880    6920

(2000/100)*70   (1400/70)*20    (1400/70)*40   (1400/70)*10
=1400           =400            =800           =200
Specified order of Re-allocation
•   Assume that service dept. costs are first allocated to S1 and then to
    S2.

                                    S1              S2
                                                                   30*(100/80)
                   P1               20%             37.5%
                   P2               40%             37.5%          30*(100/80)

                   P3               10%             25.0%          20*(100/80)
                   S1                -               -
                   S2               30%              -
                   Total            100%            100%
Total          P1         P2     P3        S1       S2
Cost before         23280       5000      8000   6000       1280     3000
re-allocation

Dept S1                             256    512    128 (1280)             384
Dept. S2                        1269      1269    846           - (3384)
Total                   2380    6525      9781   6974           -           -



 (1280/100)*20 (1280/100)*40    (1280/100)*10     (1280)    (1280/100)*30
 =256          =512             =128                        =384

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Example 1

  • 1. Example ABC Co. Ltd has four production departments P1, P2, P3 and P4 and three service departments S1, S2 and S3. S1 –stores S2 –production control section S3 –maintenance department Calculate for each production department an appropriate overhead absorption rate per machine hour. Calculate the total cost of each department. The annual overheads are as follows:
  • 2. Information Cost Total (Rs.’000) Indirect labour 2,000 Supervision 200 Power 600 Rent 80 Insurance -Building 160 Insurance -Plant 100 Depreciation -Building 240 Depreciation -Plant 120
  • 3. Information Indirect Labour Costs Cost centres Actual costs Rs.’000 P1 300 P2 200 P3 500 P4 100 S1 200 S2 300 S3 400
  • 4. Information P1 P2 P3 P4 S1 S2 S3 Total No. of employee 400 400 500 600 30 20 50 2,000 Floor Area (Sq.M) 3,000 9,000 8,000 8,000 1,000 1,000 2,000 32,000 Power (KWHrs) 7,000 5,000 3,000 2,000 1,500 500 1,000 20,000 Pro.Cntrl Hours 4,000 5,000 5,000 3,000 - - 1,000 18,000 Stores Requisitions 600 300 250 150 - 400 300 2,000 Maint. Dept Hours 6,000 8,000 5,000 6,000 - - - 25,000 Plant Hrs (‘000) 120 80 200 100 - - - 500 Book value of plant 300 200 100 80 120 50 150 1,000 (Rs.’000)
  • 5. Allocation of costs to Production and Service Departments Item Basis Total P1 P2 P3 P4 S1 S2 S3 Ind. Labour Actual 2000 300 200 500 100 200 300 400 Supervision No. of 200 40 40 50 60 3 2 5 employee Power KWHr 600 210 150 90 60 45 15 30 Rent & Floor area 80 7.5 22.5 20 20 2.5 2.5 5 Rates Insurance Floor area 160 15 45 40 40 5 5 10 Building Insurance Book value 100 30 20 10 8 12 2 15 Plant Depreciation Floor area 240 22.5 67.5 60 60 7.5 7.5 15 Building Depreciation Book value 120 36 24 12 9.6 14.4 6 18 Plant Total 3500 661 569 782 357. 289.4 343 498 6
  • 6. Calculation Item Basis Total P1 Ind. Labour Actual 2000 300.0 Supervision No. of 200 (200/2,000)*400 = 40.0 Employee Power KWHr 600 (600/20,000)*7000 = 210.0 Rent & rates Floor area 80 (80/32,000)*3000 = 7.5 Insurance -B Floor area 160 (160/32,000)*3000 = 15.0 Insurance-P Book value 100 (100/1,000)*300 = 30.0 Depreciation-B Floor area 240 (240/32,000)*3000 = 22.5 Depreciation-P Book value 120 (120/1,000)*300 = 36.0 Total 3500 661.0
  • 7. Reallocation of Service Department Overheads to Production Departments Item Basis Total P1 P2 P3 P4 S1 S2 S3 Total 3500 661.0 569.0 782.0 357.6 289.4 343.0 498.0 costs S1- Store - 86.8 43.4 36.2 21.7 - 57.9 43.4 stores req 289.4 S2-Pro Prodn 3500 748.8 612.4 818.2 379.3 - 400.9 541.4 Control control 89.1 111.35 111.35 66.8 - -400.9 22.3 S3- Main 3500 837.9 723.75 929.55 446.1 - - 563.7 Maint Hrs 135.3 180.4 112.7 135.3 - - - 563.7 Total 3500 973.2 904.15 1042.25 581.4 - - -
  • 8. S1- Store - 87.8 43.4 36.2 21.7 (289.4) 57.9 43.4 stores req • S1 P1 (289.4/2000)*600 = 86.82 ≈ 86.8 P2 (289.4/2000)*300 = 43.41 ≈ 43.4 P3 (289.4/2000)*250 = 36.18 ≈ 36.2 P4 (289.4/2000)*150 = 21.71 ≈ 21.7 S2 (289.4/2000)*400 = 57.88 ≈ 57.9 S3 (289.4/2000)*300 = 43.41 ≈ 43.4 Total 289.4
  • 9. S2-Pro Prodn 3500 748.8 612.4 818.2 379.3 - 400.9 541.4 Control control 89.1 111.35 111.35 66.8 - (400.9) 22.3 • S2 P1 (400.9/18,000)* 4000= 89.08 ≈ 89.1 P2 (400.9/18,000)* 5000=111.35 P3 (400.9/18,000)* 5000=111.35 P4 (400.9/18,000)* 3000=66.81 ≈ 66.8 S3 (400.9/18,000)* 1000=22.27 ≈ 22.3
  • 10. S3- Plant 3500 837.9 723.75 929.55 446.1 - - 563.7 Maint Hrs 135.3 180.4 112.7 135.3 - - (563.7) S3 P1 (563.7/25,000)*6000 =135.288 ≈ 135.3 P2(563.7/25,000)*8000 =180.384 ≈ 180.4 P3(563.7/25,000)*5000 =112.74 ≈ 112.7 P4 (563.7/25,000)*6000 =135.288 ≈ 135.3 Total 563.7
  • 11. Calculation of appropriate departmental overhead rates • Based on machine hours P1 = 973.3/120 = 8.11 per M/C hour P2 = 904.15/80 = 11.30 per M/C hour P3 =1042.25/200 = 5.21 per M/C hour P4 = 581.4/100 = 5.81 per M/C hour
  • 12. Charging Overhead Rates to Products Overhead costs in each cost centre should be absorbed by the products, at an absorption rate of each product. Pro.Dep. Job1(hours) Job2(hours) Job3(hours) P1 3 12 1.5 P2 2.5 0 4 P3 0 5 10 P4 5 0 3
  • 13. • Then, based on the production hours the overhead costs chargeable are as follows: • Job 1 = 3*8.11+2.5*11.3+5*5.81 = 81.63 • Job 2 = 12*8.11+5*5.21 = 123.37 • Job 3 = 1.5*8.11+4*11.3+10*5.21+3*5.81 =
  • 14. Allocation service department costs Example A manufacturing firm has three production departments, P1, P2 and P3, and two service departments, S1and S2. the following costs are shown in the overhead distribution sheet. production dep. P1 = Rs. 5000 production dep. P2 = Rs. 8000 production dep. P3 = Rs. 6000 service dep. S1 = Rs. 1280 service dep. S2 = Rs. 3000 Total = Rs.23,280
  • 15. • The costs of the two service departments S1 and S2 are to be re-apportioned to production departments using the following basis. S1 S2 P1 20% 30% P2 40% 30% P3 10% 20% S1 - 20% S2 30% - Total 100% 100%
  • 16. There are 3 basic methods of allocating service department costs. 1. Continuous Allotment 2. Simultaneous Equation method 3. Specified order of Re-Allocation
  • 17. Continuous Allotment Costs of service departments are re-allocated to other departments repeatedly until the amount remaining is too insignificant. s1 s2 P1 20% 30% P2 40% 30% P3 10% 20% S1 - 20% S2 30% - Total 100% 100%
  • 18. Total P1 P2 P3 S1 S2 Cost before 23280 5000 8000 6000 1280 3000 re-allocation Dept S1 256 512 128 (1280) 384 Dept. S2 1015 1015 677 677 (3384) 135 271 68 (677) 203 61 62 40 40 (203) 8 16 4 (40) 12 3.6 3.6 2.4 2.4 (12) 4 4 3 - - Total 2380 6479 9880 6920
  • 19. Simultaneous equation method X=total cost of S1 after receiving 20% cost of S2 Y=total cost of S2 after receiving 30% cost of S1 X=1280+0.2Y Y=3000+0.3X By solving two equation above, X=2000 and Y=3600
  • 20. As above Total P1 P2 P3 Cost before 19000 5000 8000 6000 re-allocation Dept S1 2000 1400* 400* 800* 200* Dept S2 3600 2880 1080 1080 720 Total 23280 6480 9880 6920 (2000/100)*70 (1400/70)*20 (1400/70)*40 (1400/70)*10 =1400 =400 =800 =200
  • 21. Specified order of Re-allocation • Assume that service dept. costs are first allocated to S1 and then to S2. S1 S2 30*(100/80) P1 20% 37.5% P2 40% 37.5% 30*(100/80) P3 10% 25.0% 20*(100/80) S1 - - S2 30% - Total 100% 100%
  • 22. Total P1 P2 P3 S1 S2 Cost before 23280 5000 8000 6000 1280 3000 re-allocation Dept S1 256 512 128 (1280) 384 Dept. S2 1269 1269 846 - (3384) Total 2380 6525 9781 6974 - - (1280/100)*20 (1280/100)*40 (1280/100)*10 (1280) (1280/100)*30 =256 =512 =128 =384