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3rd Group :
Erin Rudianingsih, SE
Cahyo Priyatno, SE, Ak,CPMA, CA
Budi Purwono, SE, CMA

Chapter 12
meningkatkan
Simulasi kuantitatif
kualitas
yang menjelaskan
pengambilan
hubungan antara
keputusan
beberapa faktor
secara akurat dan
reliabel
memprediksi

kondisi bisnis
Cost Volume Profit (CVP) Models and Break
Even Point
450,000

400,000

Revenue =
350,000

Break-even
point
Variable Costs

Total sales
+ Fixed Costs + Income

PQ = VQ + F + I
300,000
Total expenses
At 250,000
the break-even point income = 0
200,000
PQ = VQ + F
150,000
Combining terms and solving for Q, the number of
Fixed expenses
100,000
units that must be sold to break even:

Q =50,000 (P – V)
F
-

100

200

300 (P –400 is the unit 600
500
V)
Units Sold
contribution margin

700

800
$100,000
$80,000
$60,000
$40,000
$20,000
$$(20,000)

$-

$50

$100 $150 $200 $250 $300 $350 $400

$(40,000)

Break-even
point

$(60,000)
$(80,000)
$(100,000)

Fixed expenses + Target income
Unit contribution margin

=

Units sold to earn
the target income
Menggambarkan
resiko tidak
tercapainya target
penjualan
Operating
Operating
leverage yang
leverage yang
rendah
tinggi disebabkan
disebabkan biaya
biaya per unit
per unit produk di
produk di
dominasi oleholeh
dominasi
biaya tetap
biaya variabel

Operating leverage
=
factor

Contribution margin
Net income
Kenaikan 10% Penjualan akan
menyebabkan kenaikan 70% Laba
Company A
Company B
Perusahan A, akan tetapi hanya1,000,000
Sales
$ 1,000,000
$
Variable costs
300,000
menaikan 40% Laba Perusahaan 600,000
B

Contribution margin
Fixed costs
Sales
Operating income

Variable costs
Contribution margin
Operating leverage
Fixed costs
Operating income

New operating leverage

$

700,000
Company A
600,000
1,100,000
$ $ 100,000

$
$

330,000
770,000
7.00
600,000
170,000
4.53

$

400,000
Company B
300,000
1,100,000
$ $ 100,000

$
$

660,000
440,000
4.00
300,000
140,000
3.14
1. Gather all the facts,
assumptions and
estimates for the model;
i.e., parameters.

2. Describe the relations between
the parameters. This usually
results in an algebraic equation.

3. Separate the parameters from the
formulas. Use cell addresses,
instead of actual numbers.
Penyesuaian model CVP untuk
menentukan Laba setelah pajak


Formulasi Modeling Tax:



A = Income after tax



B = Income before tax



T = Tax rate



A = B – BT



A = B (1 – T) or solving for B:



B=A

(1 – T)
Modeling Perusahaan
dengan banyak produk:
1. estimasi bauran
penjualan dari masingmasing produk
2. Menghitung Weighted
Average Unit Contribution
Margin
provides us with the following information:
Description
Surfboards
Sailboards
Total sold

Unit
Unit
Number
variable contribution
of
cost
margin
boards
500 $ 300 $
200
500
1,000
450
550
300
800

Selling
price
$

Description
Sales mix
computation

Surfboards
Sailboards
Total sold

Number
of boards
500
300
800

% of
Total
62.5% (500 ÷ 800)
37.5% (300 ÷ 800)
100.0%
Weighted-average unit contribution margin

Contribution
Weighted
Description
% of total
margin
contribution
Surfboards $
200
62.5% $
125.00
Sailboards
550
37.5%
206.25
Weighted-average contribution margin $
331.25
$200 × 62.5%
Break-even point
Break-even
point

=

Break-even
point

=

Break-even
point

=

Fixed expenses
Weighted-average unit contribution margin
$170,000
$331.25

514 combined units

Fixed costs increased from
$80,000, due to expansion
needed to sell multiple
products.
The break-even point is 514 combined units. We can use
the sales mix to find the number of units of each product
that must be sold to break even.

Combined
break-even
sales
514

Product
Surfboards
Sailboards
Total units

% of
total

Individual
sales

62.5%
37.5%

The break-even point of 514 units is valid
only for the sales mix of 62.5% and 37.5%.

321
193
514
Modeling Multiple Cost Drivers
An insight from activity-based
costing: costs may be a function
of multiple activities, not
merely sales volume.

Some costs treated
as fixed (when
sales volume is the
only activity) may
now be considered
variable.

Total Cost =
(Unit variable cost × Sales units)
+ (Batch cost × Batch activity)
+ (Product cost × Product activity)
+ (Customer cost × Customer activity)
+ (Facility cost × Facility activity)
Sensitivity Analysis
Memperkirakan
batasan dari
setiap
parameter

Meperkirakan
nilai wajar
dari
setiap
para meter

Merubah nilai pada
batas atas atau bawah
suatu parameter. sementara
parameter lainnya tetap

catat perubahan
laba yang terjadi.

Because of the number of computations involved,
computerized models are used for sensitivity analysis.
Sensitivity Analysis
Realistic combinations of changed parameters

Best case scenario
Kombinasi reastis pada
tingkat harga tertinggi,
penjualan tertinggi dan biaya
terendah

Worst case scenario
Kombinasi reastis pada harga
tingkat terendah, penjualan
terendah dan biaya tertinggi

Most likely case scenario
Kombinasi reastis pada tingkat
harga, penjualan dan biaya yang
wajar (sering terjadi)
Modeling Scarce Resources




Perusahaan dihadapkan
pada pilihan sumberdaya
yang terbatas dan
bagaimana memaksimalkan
sumberdaya yang terbatas.
memanfaatkan sumberdaya
yang terbatas pada produk
yang memberikan
kontribusi margin yang
tertinggi
Financial and cost volume profit models, share

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Financial and cost volume profit models, share

  • 1. 3rd Group : Erin Rudianingsih, SE Cahyo Priyatno, SE, Ak,CPMA, CA Budi Purwono, SE, CMA Chapter 12
  • 2. meningkatkan Simulasi kuantitatif kualitas yang menjelaskan pengambilan hubungan antara keputusan beberapa faktor secara akurat dan reliabel memprediksi kondisi bisnis
  • 3. Cost Volume Profit (CVP) Models and Break Even Point 450,000 400,000 Revenue = 350,000 Break-even point Variable Costs Total sales + Fixed Costs + Income PQ = VQ + F + I 300,000 Total expenses At 250,000 the break-even point income = 0 200,000 PQ = VQ + F 150,000 Combining terms and solving for Q, the number of Fixed expenses 100,000 units that must be sold to break even: Q =50,000 (P – V) F - 100 200 300 (P –400 is the unit 600 500 V) Units Sold contribution margin 700 800
  • 4. $100,000 $80,000 $60,000 $40,000 $20,000 $$(20,000) $- $50 $100 $150 $200 $250 $300 $350 $400 $(40,000) Break-even point $(60,000) $(80,000) $(100,000) Fixed expenses + Target income Unit contribution margin = Units sold to earn the target income
  • 5. Menggambarkan resiko tidak tercapainya target penjualan Operating Operating leverage yang leverage yang rendah tinggi disebabkan disebabkan biaya biaya per unit per unit produk di produk di dominasi oleholeh dominasi biaya tetap biaya variabel Operating leverage = factor Contribution margin Net income
  • 6. Kenaikan 10% Penjualan akan menyebabkan kenaikan 70% Laba Company A Company B Perusahan A, akan tetapi hanya1,000,000 Sales $ 1,000,000 $ Variable costs 300,000 menaikan 40% Laba Perusahaan 600,000 B Contribution margin Fixed costs Sales Operating income Variable costs Contribution margin Operating leverage Fixed costs Operating income New operating leverage $ 700,000 Company A 600,000 1,100,000 $ $ 100,000 $ $ 330,000 770,000 7.00 600,000 170,000 4.53 $ 400,000 Company B 300,000 1,100,000 $ $ 100,000 $ $ 660,000 440,000 4.00 300,000 140,000 3.14
  • 7. 1. Gather all the facts, assumptions and estimates for the model; i.e., parameters. 2. Describe the relations between the parameters. This usually results in an algebraic equation. 3. Separate the parameters from the formulas. Use cell addresses, instead of actual numbers.
  • 8. Penyesuaian model CVP untuk menentukan Laba setelah pajak  Formulasi Modeling Tax:  A = Income after tax  B = Income before tax  T = Tax rate  A = B – BT  A = B (1 – T) or solving for B:  B=A (1 – T)
  • 9. Modeling Perusahaan dengan banyak produk: 1. estimasi bauran penjualan dari masingmasing produk 2. Menghitung Weighted Average Unit Contribution Margin
  • 10. provides us with the following information: Description Surfboards Sailboards Total sold Unit Unit Number variable contribution of cost margin boards 500 $ 300 $ 200 500 1,000 450 550 300 800 Selling price $ Description Sales mix computation Surfboards Sailboards Total sold Number of boards 500 300 800 % of Total 62.5% (500 ÷ 800) 37.5% (300 ÷ 800) 100.0%
  • 11. Weighted-average unit contribution margin Contribution Weighted Description % of total margin contribution Surfboards $ 200 62.5% $ 125.00 Sailboards 550 37.5% 206.25 Weighted-average contribution margin $ 331.25 $200 × 62.5%
  • 12. Break-even point Break-even point = Break-even point = Break-even point = Fixed expenses Weighted-average unit contribution margin $170,000 $331.25 514 combined units Fixed costs increased from $80,000, due to expansion needed to sell multiple products.
  • 13. The break-even point is 514 combined units. We can use the sales mix to find the number of units of each product that must be sold to break even. Combined break-even sales 514 Product Surfboards Sailboards Total units % of total Individual sales 62.5% 37.5% The break-even point of 514 units is valid only for the sales mix of 62.5% and 37.5%. 321 193 514
  • 14. Modeling Multiple Cost Drivers An insight from activity-based costing: costs may be a function of multiple activities, not merely sales volume. Some costs treated as fixed (when sales volume is the only activity) may now be considered variable. Total Cost = (Unit variable cost × Sales units) + (Batch cost × Batch activity) + (Product cost × Product activity) + (Customer cost × Customer activity) + (Facility cost × Facility activity)
  • 15. Sensitivity Analysis Memperkirakan batasan dari setiap parameter Meperkirakan nilai wajar dari setiap para meter Merubah nilai pada batas atas atau bawah suatu parameter. sementara parameter lainnya tetap catat perubahan laba yang terjadi. Because of the number of computations involved, computerized models are used for sensitivity analysis.
  • 16. Sensitivity Analysis Realistic combinations of changed parameters Best case scenario Kombinasi reastis pada tingkat harga tertinggi, penjualan tertinggi dan biaya terendah Worst case scenario Kombinasi reastis pada harga tingkat terendah, penjualan terendah dan biaya tertinggi Most likely case scenario Kombinasi reastis pada tingkat harga, penjualan dan biaya yang wajar (sering terjadi)
  • 17. Modeling Scarce Resources   Perusahaan dihadapkan pada pilihan sumberdaya yang terbatas dan bagaimana memaksimalkan sumberdaya yang terbatas. memanfaatkan sumberdaya yang terbatas pada produk yang memberikan kontribusi margin yang tertinggi