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Variances

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VARIANCES
CMA : “Performance Management”
VARIANCES
Isabelle MIROIR LAIR
2019 -2020
1-C1 Cost and Variance Measures
The Flow of cost
• INPUTS
Direct Material
Direct Labor
Variable Overhead
Fixed Overhead
• OUTPUT
Finished
GOODS
• INCOME STATEMENT
COGS
Cost of GOODS
sold
Developing a standard cost for a tennis racquet
Static budget
Selling price
$120
Volume
30,000 units
Input
Input/unit of
production
Cost per unit of
Input
Cost /unit of
production
Direct Material
1 pound /u
$60/pound
$60
Direct Labour
2 DLH /u
$8/DLH
$16
Variable Overhead
1.2 machine-hr
$10/mach-hr
$12
Total Variable Cost
$88
Unit Fixed Overhead
$10 per unit
Total Unit Cost
$98
Example: assume you receive the financial data of last period
compared to budget
Actual results
Units sold
Budgeted results
variances
24,000
30,000
Sales Revenue
3,000,000
3,600,000
-600,000
Direct material
1,491,840
1,800,000
-308,160
Direct labour
475,200
480,000
-4,800
Variable manuf overhead
313,200
360,000
-46,800
Contribution margin
719,760
960,000
-240,240
Fixed manufacturing costs
Fixed SGA costs
294,000
390,000
300,000
390,000
-6,000
0
35,760
270,000
-234,240
EBIT
You can compute variances but you can’t analyze them because they are based on
various levels of activity
Example: 1) to put together the various variable or fixed costs
2) to compute the flexible budget
Actual results
Units sold
Flexible
Budget Var
Flexible
budget
Volume
variance
Static budget
24,000
24,000
30,000
Sales Revenue
3,000,000
2,880,000
3,600,000
Variable costs
2,280,240
2,112,000
2,640,000
Contribution margin
719,760
768,000
960,000
Fixed costs
684,000
690,000
690,000
35,760
78,000
270,000
EBIT
DM + DL + Var. Overhead costs = Variable costs
Fixed Manufacturing + SGA costs = Fixed costs
Flexible budget = actual volume x standard unit cost or price
Flexible Budget
• A flexible budget
is a restatement of the original budget
that have been adjusted to the actual level of activity
units
30 000
Static Budget
flexible Budget
24 000
costs
Example:
Budget based on 24 000 units (instead of 30 000)
Actual results
Units sold
Flexible
Budget Var
Flexible
budget
Volume
variance
Static
budget
24,000
24,000
30,000
Sales Revenue
3,000,000
2,880,000
3,600,000
Variable costs
2,280,240
2,112,000
Contribution margin
719,760
768,000
960,000
Fixed costs
684,000
690,000
690,000
35,760
78,000
270,000
EBIT
26400000x24000
30000
2,640,000
Sales & variable expenses are adjusted based on the per-unit value and the actual units sold
Example: normally a decrease of 6,000 units should have
decreased the EBIT by $192,000 but…
Actual results
Units sold
Flexible
Budget Var
Flexible
budget
Volume
variance
Static budget
24,000
24,000
-6,000
30,000
Sales Revenue
3,000,000
2,880,000
-720,000
3,600,000
Variable costs
2,280,240
2,112,000
-528,000
2,640,000
Contribution margin
719,760
768,000
-192,000
960,000
Fixed costs
684,000
690,000
0
690,000
35,760
78,000
-192,000
270,000
EBIT
Volume Variance = Flexible Budget – Static Budget
Example:
But the change in prices and consumptions has
produced another variance
Actual results
Flexible
Budget Var
24,000
0
24,000
-6,000
30,000
Sales Revenue
3,000,000
120,000
2,880,000
-720,000
3,600,000
Variable costs
2,280,240
168,240
2,112,000
-528,000
2,640,000
Contribution margin
719,760
-48,240
768,000
-192,000
960,000
Fixed costs
684,000
-6,000
690,000
0
690,000
35,760
-42,240
78,000
-192,000
270,000
Units sold
EBIT
Flexible
budget
Flexible Budget Variance = Actual results - Flexible Budget
Volume
variance
Static budget
Example
Actual results
Flexible
Budget Var
24,000
0
24,000
-6,000
30,000
Sales Revenue
3,000,000
120,000
2,880,000
-720,000
3,600,000
Variable costs
2,280,240
168,240
2,112,000
-528,000
2,640,000
Contribution margin
719,760
-48,240
768,000
-192,000
960,000
Fixed costs
684,000
-6,000
690,000
0
690,000
35,760
-42,240
78,000
-192,000
270,000
Units sold
EBIT
Flexible
budget
Flexible Budget Variance = -48,240
Volume
variance
Static budget
Volume Variance = -192,000
Total Variance = 35,760 – 270,000 = -234,240
There is no need to go further with the volume variance
BUT
The flexible budget variance covers # variances
Price
Variance
Quantity
Variance
And will be detailed per expenses
Indirect costs vs Direct Costs
Variable
Overhead
Fixed
Overhead
• Indirect costs:
•
•
•
•
•
•
•
•
Indirect labor
Supplies
Tools
Equipment (depreciation, ..)
Rent
Insurance
Property tax
Training & hiring
• Direct costs
• Direct materiel
• Direct labor
The flexible budget variance Framework

Volume of output is the same for actual or budgeted data
Flexible Budget
Actual Results
Actual Quantity
Actual Quantity
Standard Quantity
×
Actual Price
×
Standard Price
×
Standard Price
Price
Quantity
Variance
Variance
• To analyze the variances between the flexible budget and the actual results, it is
necessary to detail into quantity and price
Example

Volume of output is the same for actual or budgeted data
Flexible Budget
Actual Results
900 kg
Actual Quantity
1,000 kg
×
€11
×
Standard Price
×
€10
Price
Quantity
Variance
Variance
• Price variance =
• Quantity variance =
Example

Volume of output is the same for actual or budgeted data
Flexible Budget
Actual Results
900 kg
900 kg
1,000 kg
×
€11
×
€10
×
€10
Price
Quantity
Variance
Variance
• Price variance = 900x11 – 900x10 = (11-10) 900 = €900
• Quantity variance = 900x10 – 1000x10 = (900 – 1,000)€10 = -€1,000
The DM Variance:
Actual Results
Flexible Budget
Actual Qty purchased
Actual Qty purchased
Actual Qty used
Standard Quantity
×
Actual Price
×
Standard Price
×
Standard Price
×
Standard Price
Price
Quantity
Variance
Variance
DM Price Variance = (AP – SP) AQp
DM Usage Variance= (AQu – SQ) SP
Direct material variance
Actual
results
Flexible
Budget Var.
Flexible
budget
Units sold
24,000
0
24,000
DM costs
1,491,840
51,840
1,440,000
Additional information:
Price per pound= 1491840/19200= $77.7 per pound
Usage = 19,200 pounds in the production of 24,000 units
And 24,000 × $60 = $1,440,000
 Price Variance = (77.7 - 60) × 19,200 = $339,840 unfavorable
 Quantity Variance = (19,200 – 24,000) × $60 = $288,000 favorable
51,840
The Direct Labor Variance:
Actual hours = hours used
Standard hours = hours allowed
Actual hours
Actual hours
Standard hours
×
Actual Rate
×
Standard Rate
×
Standard Rate
Rate
efficiency
Variance
Variance
RateVariance = (AR – SR) AH
Efficiency Variance= (AH – SH) SR
Direct Labor variance
Actual
results
Flexible
Budget Var.
Flexible
budget
Units sold
24,000
0
24,000
DL costs
475,200
91,200
384,000
Additional information: Labor reporting records show that
52,800 DLH costed $475,200 for 24,000 units => average hour rate= $9
 52,800 x $9 = $475,200
 Standard hours = 24,000 x 2h = 48,000 hours
 48,000 × $8 = $384,000
 DL Rate Variance = (9 - 8) × 52,800 = $52,800 unfavorable
 DL Efficiency Variance = (52,800 – 48,000) × $8 = $38,400 unfavorable
91,200
Fixed Overhead
• We haven’t any volume variance on the fixed costs because they are
fixed!
The Fixed Manufacturing Overhead Variance:
Budgeted FOH
Total Actual FOH
Costs
Budgeted
Production Volume
×
Standard FOH Rate
Spending
Variance
Spending Variance =Actual FOH costs – budgeted FOH costs
Fixed Manufacturing Overhead variance
Actual
results
Flexible
Budget Var.
Flexible
budget
Units sold
24,000
0
24,000
FOH costs
294,000
-6,000
300,000
A simple comparison of actual spending to the fixed overhead budget provides the
FOH spending variance
 FOH spending Variance = actual FOH – budgeted FOH = 294,000 – 300,000 =
- 6,000 Favorable
Fixed Overhead Variance
Fixed overhead variances
Spending variance
350
E
D
300
B
250
F
100
Budgeted FOH
150
actual FOH
applied FOH
200
C
A
50
0
FOH applied 0
5
10
15
20
25
30
In an absorption costing
system, fixed overhead must
be expressed on the basis of
dollars per unit of activity,
and the amount must be
absorbed as product is
manufactured.
=> the firm divides the
budgeted FOH by the level of
activity:
300,000/30,000 =$10 per unit
For 24,000 units the amount
absorbed = 240,000 = CF
The production volume
variance = $60,000 =
budgeted FOH– applied
FOH
Sales Revenues and Sales Variances
The Sales Variances
 For one product
Actual volume
Actual volume
Expected volume
×
Actual Price
×
Standard Price
×
Standard Price
Price
Volume
Variance
Variance
Price Variance = (AP – SP) AV
Volume Variance= (AV – SV) SP
Sales Variances
Units sold
Sales Revenue
Actual
results
Flexible
Budget Var
Flexible
budget
Volume
variance
Static
Budget
24,000
0
24,000
-6,000
30,000
3,000,000
120,000
2,880,000
-720,000
3,600,000
Actual Price = 3000000/24000 = 125
Standard Price = 3600000/30000 = 120
Price Variance = (AP – SP) AV = (125 – 120) 24,000 = 120,000 F
Volume Variance = (AV – SV) SP = (24,000 – 30,000) 120 = -720,000 U
Example 0: exo Variance 1 product
The Sales Variances
 For several products
Actual volume
Actual volume
×
Actual Price
×
Standard Price
Price
 Price variance does not
change and is
computed per product
Variance
Price Variance = (AP – SP) AV
 Volume Variance?
Volume Variance
 For several products
• The Sales volume variance results not only from selling more or less
total volume of goods and services, but also from selling relatively
more or less of one type of product versus another.
• The Sales volume Variance represents how much revenue will
increase due to increased sales, but it doesn't represent how much
the operating profit will increase.
• Because increased sales volume not only increases revenue but also
increases the variable costs.
the variances are computed based on contribution margin
Sales Volume Variances with 2 products

Based on contribution margin
Actual volume
×
Standard CM
Expected volume
×
Standard CM
Volume
Variance
Actual volume
×
Actual Mix %
×
Standard P
Mix and Quantity Variances
are subsets of the Volume
Variance
Actual volume
×
Expected Mix %
×
Standard P
Mix
Variance
Expected volume
×
Expected Mix %
×
Standard P
Total Quantity
Variance
Example: with 2 products
Sunbird Boat Company is selling two models of boat: the Classic in oak and the Deluxe
in teak
Actual Data
Actual Volume
Budgeted Data
Classic
Deluxe
150
50
Classic
Deluxe
164
41
Standard Price
$4,200
$9,400
Standard Variable cost
$2,785
$6,315
Standard CM
$1,415
$3,085
Expected Volume
Actual Mix :
150
50
Total volume = 150 + 50 = 200; Classic =
= 75% ; Deluxe =
= 25%
200
200
Expected Mix :
164
41
Total volume = 164 + 41 = 205; Classic =
= 80% ; Deluxe =
= 20%
205
205
Sales Volume Variances with Sunbird
Actual volume
150 & 50
×
Standard CM
1415 & 3085
Expected volume
164 & 41
×
Standard CM
1415 & 3085
Actual volume
×
Actual Mix %
200 x 75% & 200 x
25%
×
Standard CM
1415 & 3085
Actual volume
×
Expected Mix %
200 x 80% & 200 x
20%
×
Standard CM
1415 & 3085
Expected volume
×
Expected Mix %
205 x 80% & 205 x
20%
×
Standard CM
1415 & 3085
Volume variance with 2 products
• Volume variance = (Actual Vol. - Expected Vol.) x Standard CM =
(150-164) 1415 + (50-41) 3085 = $7,955 F
• Mix variance =
• Quantity variance =
[Actual Vol. – (Actual vol. x Exp.Mix)] Stand.CM
[(Actual Vol. x Exp.Mix) – Expect. vol.] Stand.CM
= (150 – (200x80%)) x 1415 = -14,150
& (50 – (200x20%)) x 3085 = 30,850
Total Mix variance = $16,700
= ((200x80%) - 164) x 1415 = -5,660
& ((200x20%) – 41) x 3085 = -3,085
Total Quantity variance = -8,745
• Volume variance = Mix variance + Quantity variance
= $16,700 – 8,745 = $7,955 F
Example 1
• DM Cost variance :
1)
Budgeted units : 10 000 units
Direct materiel unit cost: € 4,5 per kg
Direct material per unit: 0,5kg
2)
Actual results : 11 000 units
Direct materiel cost: 5610 kg x € 4= €22 440
• Analyse the variance between the budgeted cost and the actual ones.
35
Example 2
(cost accounting Pearson)
static budget
units of LLL produced and sold
180 000
151 200
150
140
1 200
1 080
5
5,25
6 000
5 670
14
14,5
84 000
82 215
batch size (units per batch)
number of batches (line1/line2)
labour hours per batch
total labour hours (line3xline4)
cost per hour in $
total cost
actual result
1) Compute the cost variances
36
Example 3
Budgeted units : 16 000 units
Labor cost: 50€/hour
Labor hour per unit: ½ hour
Number of normal hours per month : 8 500h
If needed 800 more hours may be used with an increasing
cost of 25%. And then it is possible to buy vacation hours
on the market at a price of 80€ /hour.
Actual units: 20 000 units;
total hours used : 10 400h
Normal hours: 453 500€
Extra hours: 50 000€
Vacation hours: 85 800€
1) Compute the cost variances
37
MCQ on sales variance
MCQ
Comfort Chairs (CC) is a manufacturer of reclining chairs. CC manufactures two different
models of chair, the classic and deluxe model. Below is CC's budget information and actual
results for last year.
Budget
Classic Chair Deluxe Chair
Expected Sales Volume 35,000 Chairs 20,000 Chairs
Standard Price per Chair
$375
$500
Actual
Classic Chair Deluxe Chair
Actual Sales Volume 34,000 Chairs 20,500 Chairs
Actual Price per Chair
$380
What is the sales price variance based on the above information?
$57,500 Favorable
$67,500 Favorable
$57,500 Unfavorable
$67,500 Unfavorable
$495
MCQ
• What is the sales volume variance based on the information given for
Comfort Chairs?
•
$125,000 Unfavorable
•
$125,000 Favorable
•
$67,500 Unfavorable
•
$67,500 Favorable
MCQ
Comfort Chairs (CC) is a manufacturer of reclining chairs. CC manufactures two different
models of chair, the classic and deluxe model. Below is CC's budget information and actual
results for last year.
Budget
Classic Chair Deluxe Chair
Expected Sales Volume
35,000 Chairs 20,000 Chairs
Standard Price per Chair
Standard Variable Cost
Standard Contribution Margin
Actual
Actual Sales Volume
Actual Price per Chair
Actual Variable Cost
Actual Contribution Margin
$375
$500
($200)
($300)
$175
$200
Classic Chair Deluxe Chair
34,000 Chairs 20,500 Chairs
$380
$495
($200)
($290)
$180
$205
What is the sales volume variance (measured in terms of contribution margin) based on the
above information?
$272,500 Unfavorable
$272,500 Favorable
$75,000 Unfavorable
$75,000 Favorable
MCQ
Which variance would be added to the flexible budget variance to
arrive at the total static budget variance
A. efficiency variance
B. price variance
C. sales mix variance
D. sales volume variance
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