cvp analysis
DESCRIPTION
cost volume profitTRANSCRIPT
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Cost-Volume-Profit
Analysis
Prof. Jason R. Radam
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Basic Principles
Cost and expenses are segregated into fixed and
variable elements
Profit = Sales – Cost and expenses
Profit = Sales – Fixed costs – Variable costs
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Basic Principles
Basic assumptions within the relevant range:
Linearity – The behavior of sales and costs are linear
Behavior of sales, costs, and expenses:
Sales – it changes directly in relation to the level of units sold
Fixed costs (total) – is constant regardless to the change in the level of units of production and sales
Fixed costs (per unit) – changes inversely with the level of production
Variable cost (total) – change in direct proportion with the level of production
Variable cost (per unit) – is constant regardless to the change in the level of units of production and sales
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Basic Principles
Selling price – assumed to be constant
Work in process (WIP) inventory – disregarded; there is
no WIP inventory
Finished goods (FG) inventory – no change;
production = sales
Product and sales mix:
There is only one product, or
If there are two or more products produced and sold, the
sales mix is assumed to be constant
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Marginal Income Statement
Condensed format
Sales P x
Less: Variable cost and expenses x
Contribution margin P x
Less: Fixed cost and expenses x
Income before income tax P x
Expanded format
Sales P x
Less: Variable cost of goods sold x
Manufacturing margin P x
Less: Variable expenses x
Contribution margin P x
Less: Fixed cost and expenses x
Income before income tax P x
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Basic Principles
Variable production costs refer to direct materials,
direct labor, and variable overhead
Variable expenses are those expenses incurred not
related to production; examples are delivery expenses,
salesmen’s commission, and packing supplies
Fixed costs and expenses can be direct or indirect;
examples are rent of factory and office building, salaries
expense, and taxes and insurances
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Relevant formulas
Contribution margin (CM) = ?
CM = Sales – Variable costs
CM = Sales x CMR
CM Ratio (CMR) = ?
CMR = 100% - VC Ratio
CMR = UCM / USP
Unit CM (UCM) = ?
UCM = USP – UVC
UCM = FC / BEP (units)
UCM = CM / Quantity sold
Profit (EBIT) = ?
Profit = CM – Fixed costs
Profit = Sales x ROS
∆Profit = ∆CM - ↑ in FC
∆Profit = ∆CM + ↓ in FC
Break-even point (BEP) = ?
BEP (units) = FC / UCM
BEP (pesos) = FC / CMR
Comp. BEP (units) = FC / Ave.
UCM
Comp. BEP (pesos) = FC / Ave.
CMR
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Relevant formulas
At BEP:
Profit (loss) = 0
Sales = Total costs
Contribution margin = Total
fixed costs
Fixed costs (FC) = ?
FC = CM – Profit
FC = BEP (units) x UCM
VC Ratio (VCR) = ?
VCR = VC / Sales
VCR = UVC / USP
VCR = 100% - CMR
VCR = ∆Costs / ∆Sales
Margin of Safety (MS) = ?
MS = Actual sales – Actual
breakeven sales
MS = Budgeted sales – Budgeted
breakeven sales
MS = Sales x MS Ratio (MSR)
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Relevant formulas
MSR = MS / Actual (budgeted)
sales
MSR = 1 – (BE Sales / Actual
sales)
Degree of operating leverage (DOL):
DOL = CM / EBIT
DOL = %∆ in EBIT / %∆ in Sales
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Exercise Problems
Matador Company produces a merchandise that has the following data:
Unit sales price P80 per unit
Unit variable costs P48 per unit
Total fixed costs P640,000 per year
Units sold during the current year 25,000 units
Required:
a. Unit contribution margin, contribution margin ratio, and variable cost ratio
b. Break-even point in units and in pesos
c. Margin of safety in units and in pesos, and margin of safety ratio
d. Net profit ratio (ROS)
e. The amount of profit using the margin of safety
f. If sales increase by P300,000, how much would you expect income to increase?
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Solution Guide
a.
UCM = P32 ; CMR = 40% ; VCR = 60%
b. BEP (units) = FC / UCM = P640,000 / P32 = 20,000 units
BEP (pesos) = FC / CMR = P640,000 / 40% = P1,600,000
To prove: Contribution margin (P1,600,000 x 40%) P640,000
Less: Fixed costs 640,000
Profit 0
Units Unit price Amount Rate
Sales 25,000 P80 P2,000,000 100%
Less: Variable costs 25,000 48 1,200,000 60%
Contribution margin 25,000 P32 P 800,000 40%
Less: Fixed costs 640,000
Income before income tax P 160,000
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Solution Guide
c.
d. Net profit ratio (ROS) = P160,000 / P2,000,000
= 8%
e. Profit = MS x CMR = P400,000 x 40% = P160,000
f. Increase in CM (increase in profit) = increase in sales x CMR
= P300,000 x 40% = P120,000
Amount Units Rate
Actual sales P2,000,000 25,000 100%
Less: Break-even sales 1,600,000 20,000 80%
Margin of safety P 400,000 5,000 20%
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Exercise Problems
Emperador Corporation produces three products, namely, products L, B and M.
Multi-product sales mix are based on units. The following data are related to the
three products:
Total fixed costs = P800,000
Required:
a. Weighted average unit contribution margin (WAUCM)
b. Composite BEP in units and allocation of CBEP
c. Composite BEP in pesos
d. Sales per mix and composite BEP
e. The number of units to be sold if the company wants a profit of P400,000.
L B M
Unit sales price P 200 P 50 P 120
Unit variable costs 120 20 90
Sales mix 2 5 3
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Solution Guide
a.
b. Composite BEP (units) = FC / WAUCM = P800,000 / P40
= 20,000 units
Allocation of Comp. BEP (units):
L = 20,000 x 2/10 = 4,000 units
B = 20,000 x 5/10 = 10, 000 units
M = 20,000 x 3/10 = 6,000 units
UCM Sales mix ratio WAUCM
L P80 2/10 P16
B 30 5/10 15
M 30 3/10 9
P40
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Solution Guide
c. Composite BEP (pesos) = FC / WACMR = P800,000 / P 39.604 = P 2,020,000
WACMR = WAUCM / WAUSP = P40 / P101 = P 39.604
WAUSP = ?
L = P200 x 2/10 = P 40
B = 50 x 5/10 = 25
M = 120 x 3/10 = 36
WAUSP P101
d. Sales per mix = FC / Comp. UCM = P800,000 / P400 = 2,000 units
UCM Sales mix WAUCM
L P80 2 P160
B 30 5 150
M 30 3 90
P400
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Solution Guide
Composite BEP (units)
L = 2,000 x 2 = 4,000 units
B = 2,000 x 5 = 10,000 units
M = 2,000 x 3 = 6,000 units
Composite BEP (units) 20,000 units
e. Composite sales = FC + Target Profit / Ave. UCM
= (P800,000 + 400,000) / P40
= 30,000 units
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Ω End Ω