4-4. Summary of Accounting Methods and its Standard
Table 4-4. Accounting Method and its Standard
Item |
Accounting methods |
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Cost accounting (Operation cost) |
Expense accounting |
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Fixed costs (Ownership cost) |
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Depreciation |
Yearly mean depreciation D= (P - S) / L |
Machine cost should be actual price without subsidize. |
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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. |
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Taxes |
Annual taxes AT = P * rtax |
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Insurance |
Annual insurance fee AP = P * rp |
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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 |
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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. |
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Lubricant cost |
30% of Fuel cost |
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Labor cost |
Wage per hour of Operator, or assistant worker. |
Actual expenses should be accounted. Family labor will be omitted. |
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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. |
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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. |
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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.
Annual (total) costATC = AFC + AVC Eq. 4
-24Where,
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
ACa = ATC / Aa Eq. 4
-25ACa = AFC / Aa + AVC / Aa Eq. 4
-26ACa = AFC / Aa + AVCa Eq. 4
-27Where,
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.
AFCa = AFC / Aa Eq. 4
AFCa = SUM (Pi * RAF / (Aa * 100))
Eq. 4-29where,
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 |
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.
ACh = ATC / Ha Eq. 4
-32ACh = AFCh + AVCh Eq. 4
-33where,
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 |
% |
( 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 |
$/year |
AVCh = AVC / Ha Eq. 4-36
Annual variable cost per hour (AVCh) is independent from Annual operation hour (Ha), therefore it is constant when Ha is changed.
AVCh = VCh1 + VCh2 + VCh3 + + VChn Eq. 4
-37Annual variable cost per hour is summation of variable cost per hour of each farm work.
4-6. Break-even Point
Service charge or farm work fee by machine will be decided as not higher than custom charge by manual so that farmer (user) will get profit by hiring machine.
Break-even Point: The point at which the line of cost intersects the line of earnings drawn against the quantity of production (or the quantity of sales). {JIS Z8121: Reference 17}
If the quantity of production or the quantity of sales is larger than the break-even point, the earnings are larger than the cost, and if the former is smaller, the result is reversed. In other words, this point is the turning point of loss and gain.
Break-even point or Cross point of income and expenseBreak-even point or Cross point of custom charge and machinery cost is an important key-point for decision of service charge actually.
Custom charge is shown as Yen/ha ($/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
-38or
CC = AVCa + AFC / Abp Eq. 4
-39Abp = AFC / (CC - AVCa) Eq. 4
-40where,
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 $?
Abp = 4,500 / (1,800 - 267) = 4500 / 1533 = 2.9 (ha)
Aa |
ATC = AFC + AVCa * Aa |
TCC = CC * Aa |
Annual operation area |
Annual cost |
Total Custom charge |
(ha) |
($) |
($) |
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*
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.
See 5-4-1. Recovery of the capital
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
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 |
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1. |
Depreciation |
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2. |
Fuel cost |
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3. |
Home-gathering compost |
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4. |
Interest on self-capital |
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5. |
Lubricant cost |
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6. |
Machine depreciation not in present use |
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7. |
Machine obtained free of charge because of a sample |
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8. |
Purchase expense |
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9. |
Repair cost |
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10. |
Special depreciation of machinery damage by floods |
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11. |
Subsidy to machinery purchase by government |
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12. |
Wages for family labor |
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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 |
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$ |
% |
$ |
% |
$ |
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Land preparation |
1 |
Tractor |
18,000 |
25 |
50 |
C |
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2 |
Drive harrow |
3,500 |
30 |
A |
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3 |
iron cage wheel |
1,000 |
30 |
A |
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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 |
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FRh |
EFC |
FRa |
Pf |
VFh |
VLh |
Nw1 |
VWh1 |
Nw2 |
VWh2 |
VWh |
VCh |
VCa |
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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 |
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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?
2004/6/14