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Thursday, May 13, 2010

Ordering Stock



This is an example of a spreadsheet to calculate the best time interval to order stock.

Scenario

A garage fits exhaust systems.
The manager orders the exhausts on a regular basis.
Each time an order is made for new stock, there is a fixed administrative cost.
The exhausts are kept in stock until needed.
Keeping the exhausts in stock incurs a cost due to capital tied up and warehouse costs.
The supplier of the Exhausts gives a discount on large orders.
Objective

Find the time interval to order stock which will result in the lowest Admin and Warehouse costs.

Input Data


Cost of a single Exhaust system :
£75
Cost of keeping Exhaust in stock. (As a % of the stock value) :
12%
Quantity of Exhausts used per day :
10
Admin cost each time new Exhausts are ordered :
£25
Average quantity of Exhausts in stock (As % of ordered quantity) :
0.5
Ordering Intervals to evaluate. (Expressed in Days) :
Suppliers first Price Break and Discount% offered :
200
1%
Suppliers second Price Break and Discount% offered :
750
5%

Output








Ordering Interval
In Days
Quantity
Per Order
Order
Value
Order
Discount
Orders
Per Year
Annual Admin Cost
Annual
Ware
house
Costs
Annual
Total
The Best
Ordering
Interval
1
10
 £      750
 £        -  
365
 £   9,125
 £     45
 £     9,170
-
2
20
 £    1,500
 £        -  
183
 £   4,575
 £     90
-
4
40
 £    3,000
 £        -  
92
 £   2,300
 £   180
 £     2,480
-
6
60
 £    4,500
 £        -  
61
 £   1,525
 £   270
 £     1,795
-
8
80
 £    6,000
 £        -  
46
 £   1,150
 £   360
 £     1,510
-
10
100
 £    7,500
 £        -  
37
 £      925
 £   450
 £     1,375
-
12
120
 £    9,000
 £        -  
31
 £      775
 £   540
 £     1,315
-
14
140
 £  10,500
 £        -  
27
 £      675
 £   630
 £     1,305
-
16
160
 £  12,000
 £        -  
23
 £      575
 £   720
 £     1,295
-
18
180
 £  13,500
 £        -  
21
 £      525
 £   810
 £     1,335
-
20
200
 £  15,000
 £     150
19
 £      475
 £   900
 £     1,225
Best
22
220
 £  16,500
 £     165
17
 £      425
 £   990
 £     1,250
-
24
240
 £  18,000
 £     180
16
 £      400
 £ 1,080
 £     1,300
-
26
260
 £  19,500
 £     195
15
 £      375
 £ 1,170
 £     1,350
-
28
280
 £  21,000
 £     210
14
 £      350
 £ 1,260
 £     1,400
-
30
300
 £  22,500
 £     225
13
 £      325
 £ 1,350
 £     1,450
-
32
320
 £  24,000
 £     240
12
 £      300
 £ 1,440
 £     1,500
-
34
340
 £  25,500
 £     255
11
 £      275
 £ 1,530
 £     1,550
-
36
360
 £  27,000
 £     270
11
 £      275
 £ 1,620
 £     1,625
-
38
380
 £  28,500
 £     285
10
 £      250
 £ 1,710
 £     1,675
-
40
400
 £  30,000
 £     300
10
 £      250
 £ 1,800
 £     1,750
-
42
420
 £  31,500
 £     315
9
 £      225
 £ 1,890
 £     1,800
-
44
440
 £  33,000
 £     330
9
 £      225
 £ 1,980
 £     1,875
-
46
460
 £  34,500
 £     345
8
 £      200
 £ 2,070
 £     1,925
-
48
480
 £  36,000
 £     360
8
 £      200
 £ 2,160
 £     2,000
-
50
500
 £  37,500
 £     375
8
 £      200
 £ 2,250
 £     2,075
-
52
520
 £  39,000
 £     390
8
 £      200
 £ 2,340
 £     2,150
-
54
540
 £  40,500
 £     405
7
 £      175
 £ 2,430
 £     2,200
-
56
560
 £  42,000
 £     420
7
 £      175
 £ 2,520
 £     2,275
-
58
580
 £  43,500
 £     435
7
 £      175
 £ 2,610
 £     2,350
-
60
600
 £  45,000
 £     450
7
 £      175
 £ 2,700
 £     2,425
-

Things To Try
Change the Discount % to 0% and 0%.
Change the Ordering Interval to 1 or 30.
Change the Cost of the Exhaust making it cheaper or more expensive.
Change the Quantity used per day to a larger or smaller number.
Explanation
Column A
Ordering Interval In Days
The first of these cells has the value 1 entered in it.
This is the smallest ordering period, which would require stock to be ordered every day.
The second cell picks the ordering interval from the Input Data table.
The third and subsequent cells add the ordering interval to the previous cell to create
a list of values of the same interval.

Column B
Quantity Per Order
This is the number of Exhausts which will need to be ordered.
Calculation :
OrderingInterval * QuantityUsedPerDay
Column C
Order Value
This is the value of the Order before any discount.
Calculation :
QuantityOrdered * CostOfExhaust
Column D
Order Discount
The discount which can be subtracted from the order value.
The discount is only given on orders which are equal to or greater than the
Price Break values set by the supplier.
Calculation :
OrderValue * SupplierDiscount
The supplier discount is calculated using the =IF() and the =AND() functions.
If the OrderQuantity is equal to or above the first Price Break, but below
the second Price Break, then the first Price Break discount is used.
=C29*IF(AND(B29>=$G$24,B29<$G$25),$H$24,IF(B29>=$G$25,$H$25,0))
If the OrderQuantity is equal to or above the second Price Break,
the second Price Break discount is used.
=C29*IF(AND(B29>=$G$24,B29<$G$25),$H$24,IF(B29>=$G$25,$H$25,0))
If the OrderQuantity does not qualify for a discount, zero discount is used.
=C29*IF(AND(B29>=$G$24,B29<$G$25),$H$24,IF(B29>=$G$25,$H$25,0))
Column E
Orders Per Year
This is how many orders will need to be made based upon the ordering interval.
With an interval of 1, there will have to be 365 orders.
Calculation :
365/OrderingInterval
This calculation may give results which are decimal, such as 2.3
This decimal will cause problems, due to the fact that the number of
orders must always be a whole number.
The =CEILING() function has been used to 'round up' any decimals to
the next highest whole number.
=CEILING(365/A29,1)
Column F
Annual Admin Costs
This is the administration costs involved in making the orders.
Calculation :
OrdersPerYear * AdminCost
=E29*$G$20
Column G
Annual Warehouse Costs
This is the cost of keeping the stock in the warehouse.
It is based on the managers knowledge that on average the stock level is 50% of the
quantity ordered.
Calculation :
QuantityOrdered * AverageStockLevel) * ExhaustCost * WarehousingCost
=(B29*$G$21)*$G$17*$G$18
Column H
Annual Total
This is the full yearly cost of ordering the Exhausts, based upon how frequently the
orders are made.
It does not take in to account the actual costs of the Exhausts, as the manager only
wants to know what the lowest values for the overheads associated with ordering and
storing the exhaust systems.
However, the Discount figure is taken into account as this can be used to offset some
of the overheads.
Calculation :
AnnualAdminCosts + AnnualWarehouseCosts - OrderDiscount
=F29+G29-D29
Column I
The Best Ordering Interval
This shows the Best ordering interval, giving the lowest annual overheads.
It compares the value in column H against the minimum value for all of column H.
If the two values match the word Best is shown, otherwise a dash is shown.
=IF(H29=MIN($H$29:$H$59),"Best","-")


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