4. COST ANALYSIS 4. COST ANALYSIS Continue

    4-4. Summary of Accounting Methods and its Standard

        Table 4-4. Accounting Method and its Standard

        Item

        Accounting methods

        Cost accounting (Operation cost)

        Expense accounting

        Fixed costs (Ownership cost)

        Depreciation

        Yearly mean depreciation

        D= (P - S) / L

        Machine cost should be actual price without subsidize.

        Garage

        (Housing)

        cost

        Annual garage cost

        AG = P * rgc

        Annual garage cost

        In planning stage, cost accounting method will be used.

        Capital interest

        Yearly mean interest

        AI = [(P + R) / 2] * ri

        Actual expenses should be accounted.

        In planning stage, cost accounting method will be used.

        Taxes

        Annual taxes

        AT = P * rtax

        Insurance

        Annual insurance fee

        AP = P * rp

        Repairing

        cost

        Yearly mean repair cost

        AR = P * er / L

        Mean repair cost per hour

        RCh = P * erh

        Repair cost should be actual cost in a year.

        In planning stage, cost accounting method will be used.

        Annual fixed

        cost

        Annual fixed cost

        AFC = P * raf

        In planning stage, cost accounting method will be used.

        Variable cost

        Fuel cost

        Fuel cost per hour

        = Fuel consumption per hour * Fuel price

        Actual expenses should be accounted.

        In planning stage, cost accounting method will be used.

        Lubricant cost

        30% of Fuel cost

        Labor cost

        Wage per hour of Operator, or assistant worker.

        Actual expenses should be accounted.

        Family labor will be omitted.

        Management cost

        Management cost will include administration cost, meeting fee, training fee of operator and so on.

        In planning stage, 10 to 20% of hire charge will be used normally.

        Custom cost

        (Contract fee)

        (Hiring fee)

        Custom cost is the amount paid for hiring equipment and operator services to perform a certain task.

        Custom costs normally include a charge for the operation of the basic machine, and may or may not include supplemental labor and equipment for such tasks as seed or fertilizer to the field, etc.

        Charges may be determined on the basis of area, time, transport distance or quantity of crop processed.

        Lease cost

        (Contract or Rental)

        A lease is a contract for the use of machinery for an agreed period of time in return for periodic payments.

        Ownership remains with the lessor. The lessee acquires the right of temporary possession and use.

         

 

        4-5. Annual Cost Per Hectare

        We will discuss the total cost of a farm work comparing with custom charge of it in this chapter. And economical evaluation of the farm work system will be done in chapter 5.

        For the economic analysis of farm work, it is most important to estimate the annual cost per hectare. Annual cost per hectare of a machine or of a farm work will be obtained as follows.

        1. Annual (total) cost
        2. ATC = AFC + AVC                 Eq. 4-24

          Where,

          symbol

          term

          unit

          ATC

          Annual (total) cost

          $/year

          AFC

          Annual (total) fixed cost

          $/year

          AVC

          Annual (total) variable cost

          $/year

          Sample

          1. Land preparation: AFC = 1,350 $, AVCa = 61 $/ha

          Annual Operation Area (ha/year)

          Annual Fixed Cost

          ($/year)

          Annual Variable Cost

          ($/year)

          Annual Total Cost

          ($/year)

          Aa

          AFC

          AVC

          ATC

          0.5

          1,350

          30

          1,380

          1

          1,350

          61

          1,411

          2

          1,350

          122

          1,472

          3

          1,350

          183

          1,533

          4

          1,350

          244

          1,594

          5

          1,350

          305

          1,655

          6

          1,350

          366

          1,716

          7

          1,350

          426

          1,776

          8

          1,350

          487

          1,837

          9

          1,350

          548

          1,898

          10

          1,350

          609

          1,959

          Fig. 451A Annual Total Cost vs. Annual operation area

          See fm-451p.xls total-cost-1

        3. Annual cost per hectare
        4. ACa = ATC / Aa                                         Eq. 4-25

          ACa = AFC / Aa + AVC / Aa                     Eq. 4-26

          ACa = AFC / Aa + AVCa                           Eq. 4-27

          Where,

          symbol

          term

          unit

          ACa

          Annual cost per hectare

          $/ha

          Aa

          Annual operation area

          ha/year

          AVCa

          Annual variable cost per ha

          $/ha

          Annual variable cost per ha (AVCa) is independent from Annual operation area (Aa), therefore it is constant when Aa is changed.

          Sample: 1. Land preparation: AFC = 1,350 $/year, AVCa = 61 $/ha, Custom charge = 300$/ha

          Annual operation area

          (ha)

          Fixed cost per ha

          ($/ha)

          Variable cost per ha

          ($/ha)

          Cost per ha

          ($/ha)

          Aa

          AFCa

          AVCa

          ACa

          0.5

          2,700

          61

          2,761

          1

          1,350

          61

          1,411

          2

          675

          61

          736

          3

          450

          61

          511

          4

          338

          61

          398

          5

          270

          61

          331

          6

          225

          61

          286

          7

          193

          61

          254

          8

          169

          61

          230

          9

          150

          61

          211

          10

          135

          61

          196

          Fig.452 Annual cost per ha ($/ha) vs. annual operation area (ha)

          See fm-451p.xls cost-ha-1

          Exercise 4-10. , 4-11.

           

          1. Annual fixed cost per ha
          2. AFCa = AFC / Aa                                              Eq. 4-28

            AFCa = SUM (Pi * RAF / (Aa * 100))             Eq. 4-29

            where,

            symbol

            term

            unit

            AFCa

            Annual fixed cost per ha

            Yen/ha or $/ha

            Pi

            Initial price

            Yen or $

            RAF

            Annual fixed cost rate

            %

            AFC

            Annual (total) fixed cost

            $/year

            Aa

            Annual operation area

            ha

          3. Annual variable cost per ha

          AVCa = AVC / Aa                                                     Eq. 4-30

          AVCa = VCa1 + VCa2 + VCa3 +   + VCan             Eq. 4-31

          Annual variable cost per ha is summation of variable cost per ha of each farm work.

           

        5. Annual cost per hour
        6.  

          ACh = ATC / Ha                                 Eq. 4-32

          ACh = AFCh + AVCh                         Eq. 4-33

          where,

          symbol

          term

          unit

          ACh

          Annual cost per hour

          $/h

          Ha

          Annual operation hour

          h/year

          AFCh

          Annual fixed cost per hour

          $

          AVCh

          Annual variable cost per hour

          %

           

          1. ( Annual fixed cost per hour )
          2. ( AFCh = AFC / Ha                                         Eq. 4-34 )

            ( AFCh = (Pi * RAF) / (Ha * 100)                 Eq. 4-35 )

            where,

            symbol

            term

            unit

            AFCh

            Annual fixed cost per hour

            $/h

            Pi

            Initial price

            $

            RAF

            Annual fixed cost rate

            %

            Ha

            Annual operation hour

            h/year

            AFC

            Annual (total) fixed cost

            $/year

             

          3. Annual variable cost per hour

        AVCh = AVC / Ha                                                   Eq. 4-36

        Annual variable cost per hour (AVCh) is independent from Annual operation hour (Ha), therefore it is constant when Ha is changed.

        AVCh = VCh1 + VCh2 + VCh3 + + VChn             Eq. 4-37

        Annual variable cost per hour is summation of variable cost per hour of each farm work.

         

         

        4-6. Break-even Point

        Service charge or farm work fee by machine will be decided as not higher than custom charge by manual so that farmer (user) will get profit by hiring machine.

        Break-even Point: The point at which the line of cost intersects the line of earnings drawn against the quantity of production (or the quantity of sales). {JIS Z8121: Reference 17}

        If the quantity of production or the quantity of sales is larger than the break-even point, the earnings are larger than the cost, and if the former is smaller, the result is reversed. In other words, this point is the turning point of loss and gain.

        1. Break-even point or Cross point of income and expense
        2. Break-even point or Cross point of custom charge and machinery cost is an important key-point for decision of service charge actually.

          Custom charge is shown as Yen/ha ($/ha) or Yen/h ($/h). Therefore, Custom charge per hectare will be obtained by even point to machinery cost per hectare.

          Machinery cost per hectare decreases when annual operation area of the machine increases normally. So, break-even point of area is calculated as follows.

          AFC + AVCa * Abp = CC * Abp                 Eq. 4-38

          or

          CC = AVCa + AFC / Abp                             Eq. 4-39

          Abp = AFC / (CC - AVCa)                          Eq. 4-40

          where,

          symbol

          term

          unit

          Abp

          Break-even point of area

          ha/year

          AFC

          Annual fixed cost

          $/year

          CC

          Custom charge

          $/ha

          AVCa

          Variable cost per ha

          $/ha

          Sbp Break-even point of sales $

          Sbp = AFC * CC / (CC - AVCa)

           

          Example: Break-even point

          How many hectares, Abp (ha), do you at least need to justify ownership of a head feed combine if the custom charge (CC) is 1800 $ per ha, assuming the fixed cost (AFC) is 4,500 $, the variable cost per ha (AVCa) is 267 $?

          Abp = 4,500 / (1,800 - 267) = 4500 / 1533 = 2.9 (ha)

          1. Annual cost & custom charge vs. annual operation area
          2. Aa

            ATC = AFC + AVCa * Aa

            TCC = CC * Aa

            Annual operation area

            Annual cost

            Total Custom charge

            (ha)

            ($)

            ($)

            1

            4,767

            1,800

            2

            5,033

            3,600

            3

            5,300

            5,400

            4

            5,567

            7,200

            5

            5,833

            9,000

            10

            7,167

            18,000

            Fig. 461a Annual cost & custom charge vs. annual operation area

            See *fm-461.xls*

             

          3. Annual cost & custom charge per ha vs. annual operation area

          Aa:

          ACa=AFC/Aa+AVCa

          CC

          Annual operation area

          Annual cost per ha

          Custom charge

          ha

          $/ha

          $/ha

          1

          4,767

          1,800

          2

          2,517

          1,800

          3

          1,767

          1,800

          4

          1,392

          1,800

          5

          1,167

          1,800

          10

          717

          1,800

          Fig. 461b Annual cost & custom charge per ha vs. annual operation area

          Exercise 4-12. and 4-13.

        3. Pay-back period or year

        See 5-4-1. Recovery of the capital

         

        4-7. Timeliness

        Timeliness is the Ability to perform an activity at such a time that crop return is optimized considering quantity and quality of product.

        Timeliness coefficient is defined like as; A factor used to estimated the reduction in crop return (quantity and quality) due to lack of timeliness in performing an activity.

        (See ASAE S495 and ASAE D497: ASAE-SD.htm)

        Delays in planting can reduce yields. Delays in harvest can reduce both quantity and quality of production. These losses are called timeliness losses. See in reference 3

         

        4-8. Exercise

 

Exercise 4-1.

Select following items into three group, which should be counted in 1. Expenses accounting method, or 2. Both accounting method, or 3. Cost accounting method.

1.Expense

2.Both

3.Cost

1.

Depreciation

2.

Fuel cost

3.

Home-gathering compost

4.

Interest on self-capital

5.

Lubricant cost

6.

Machine depreciation not in present use

7.

Machine obtained free of charge because of a sample

8.

Purchase expense

9.

Repair cost

10.

Special depreciation of machinery damage by floods

11.

Subsidy to machinery purchase by government

12.

Wages for family labor

13.

Wages for hired workers

 

Exercise 4-2.

When Purchase price (P) =800$, Salvage value (S) = 80$, Economic life (L) =6 years, obtain Annual depreciation.

 

Exercise 4-3.

When Purchase price (P) =800$, Constant depreciation rate (r) = 0.25, L = 8, obtain Depreciation charge for first year, and for next year.

 

Exercise 4-4.

When Purchase price (P) =800$, Salvage value (S) = 80$, Economic life (L) =6 years, obtain Constant depreciation rate. Use S = P * (1 - r) **L

 

Exercise 4-5.

List up tax rate of your country.

 

Exercise 4-6.

When Initial price (P) =800$, Remaining value (R) = 80$, Yearly interest rate (ri) = 0.05, obtain Annual interest .

And please let me know interest rate of your country.

 

Exercise 4-7.

When Initial price (P), and Annual fixed cost rate (RAF) are shown as next table, obtain Annual fixed cost (AFC) of farm work of transplanting.

 

Exercise 4-8.

When Initial price (P), Annual fixed cost rate (RAF), Share of work (Sp)=50% are shown as next table, obtain Annual fixed cost of 1: tractor and of farm work of land preparation.

Farm Work

Machine no.

Machine name

Purchase price

Annual Fixed cost rate

Fixed cost

Share of work

Code of how to use*

Annual fixed cost

P

RAF

FC

Sp

AFC

$

%

$

%

$

Land preparation

1

Tractor

18,000

25

50

C

2

Drive harrow

3,500

30

A

3

iron cage wheel

1,000

30

A

Transplanting

4

Rice transplanter

13,500

30

A

* : A: This machine used only in this farm work

C: This machine used not only in this work but also other work (use Share of work )

 

Exercise 4-9. When fuel consumption, oil, labor are shown as following table, obtain fuel cost per hour(VFh), oil cost per hour(VLh), labor cost per hour(VWh), and variable cost per hour(VCh) and per ha.(VCa) of farm work : land preparation and transplanting.

Work Name

fuel consumption

Oil

operator

Assistant worker

labor cost per hour

variable cost per hour

variable cost per ha

FRh

EFC

FRa

Pf

VFh

VLh

Nw1

VWh1

Nw2

VWh2

VWh

VCh

VCa

L/h

ha/h

L/ha

fuel

$/L

$/h

$/h

No.

$/h

No.

$/h

$/h

$/h

$/ha

Land preparation

3.8

0.30

12.7

D

0.32

1

8.0

0

0.0

Transplanting

1.6

0.21

7.6

G

0.77

1

8.0

1

7.0

 

Exercise 4-10.

When AFC, AVCa, CC are shown as following table, obtain ATC of farm work (rice transplanting) at Aa = 0.5, 1.0, 2.0, 9.0, 10.0.

And plot on graph (ATC vs. Aa) and compare it with total custom charge.

AFC

Annual fixed cost

$/year

4000

AVCa

Annual variable cost per ha

$/ha

80

Aa

Annual operation area

ha/year

0.5 ---10.0

CC

Custom charge

$/ha

500

 

Exercise 4-11.

When AFC, AVCa are shown as following table, obtain ACa of farm work (rice transplanting) at Aa = 0.5, 1.0, 2.0, 9.0, 10.0. And plot on graph (ACa vs. Aa) and compare it with custom charge.

Aa

Annual operation area

ha/year

0.5 ---10.0

ACa

Annual cost per hectare

$/ha

 

AFC

Annual fixed cost

$/year

4050

AVCa

Annual variable cost per ha

$/ha

80

 

Exercise 4-12. .

How many hectares, Abp (ha), do you at least need to justify ownership of a rice transplanter if the custom charge (CC) is 500 $ per ha, assuming the fixed cost (AFC) is 4,000 $, the variable cost is 100 $ /ha?

And calculate Annual cost: AC and Total Custom charge: TCC at Aa = 1, 2, 3, 10 ha.

 

Exercise 4-13. .

How many custom charge (CC) of harvesting is reasonable, if a combine price (P) is $100,000, the fixed cost rate (RAF) is 30%, annual variable cost (AVCa) is 200$/ha and annual operation area (Aa) is 30ha?


return to menu


2004/6/14