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    Program :

    Faculty :

    Course :

    Trimester :

    Session/s :

    Week : 4

    PGDM - 02

    Pro!Dr!P!"!"amakris#nan

    $ntro%uction toManagerial&ccounti

    2

    9

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    Cost-Volume-Profit Analysis

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    Learning objective

    To understand the costing tool of marginalcosting

    To comprehend BREAK EVE AAL!"#"

    To be familiar $ith cost volume anal%sis

    To understand the practical relevance ofcost volume anal%sis for decision ma&ing

    To understand fi'ed and variable costing

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    (lanning )o$ man% units of input do # need to support a

    budgeted output*

    +ontrol Are operations effective and efficient*

    ,ecision ma&ing

    )o$ do $e decide on a price- and choose.uantit% given constraints*

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    /i'ed cost and variable cost

    Variable +osts0 +osts $hich change directl% in proportion to

    changes in .uantit% or activit%

    /i'ed +osts0 +osts $hich do not change $hen .uantit% or

    activit% volume changes

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    +osts that change in proportion to changes involume or activit%

    0An automobile manufacturer $ill need 122 tires

    to ma&e 322 cars- but 1-222 tires to ma&e3-222 cars

    0A ba&er% $ill need 4 eggs to ma&e 3 ca&e and42 eggs to ma&e 32 ca&es

    #f activit% increases b% 325- cost increasesb% 325

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    +osts that change in proportion to changes in volume or activit%0An automobile manufacturer $ill need 122 tires to ma&e 322 cars-

    but 1-222 tires to ma&e 3-222 cars

    0A ba&er% $ill need 4 eggs to ma&e 3 ca&e and 42 eggs to ma&e 32ca&es

    #f activit% increases b% 325- cost increases b% 325+osts that change in proportion to changes in volume or activit%

    0An automobile manufacturer $ill need 122 tires to ma&e 322 cars-but 1-222 tires to ma&e 3-222 cars

    0A ba&er% $ill need 4 eggs to ma&e 3 ca&e and 42 eggs to ma&e 32ca&es

    #f activit% increases b% 325- cost increases b% 325

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    +osts that change in proportion to changes in volume or activit%0An automobile manufacturer $ill need 122 tires to ma&e

    322 cars- but 1-222 tires to ma&e 3-222 cars

    0A ba&er% $ill need 4 eggs to ma&e 3 ca&e and 42 eggs to

    ma&e 32 ca&es#f activit% increases b% 325- cost increases b% 325

    +osts that change in proportion to changes in volume or activit%

    0An automobile manufacturer $ill need 122 tires to ma&e322 cars- but 1-222 tires to ma&e 3-222 cars

    0A ba&er% $ill need 4 eggs to ma&e 3 ca&e and 42 eggs toma&e 32 ca&es

    #f activit% increases b% 325- cost increases b% 325

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    Variable cost

    A company has decided that direct labor costsare 100% variable. Last month total direct laborcosts were $125,000 and total direct labor hoursworked were 10,000

    1. What is the direct labor cost per hour?

    $125!!! " 1!!!! hours # $12.5! per hour

    2. Predict labor costs in a month hen 12!!! labor hours are or%ed

    $12.5! per hour & 12!!! hours # $15!!!!

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    Variable cost

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    /i'ed cost

    ,o not change in response to changes inactivit% level

    T%pical fi'ed costs are depreciation-

    supervisor% salaries- and buildingmaintenance

    Rent for a ba&er% $ill not double if output

    increases from 322 to 422 ca&es Activit% increases b% 325- costs remain

    unchanged

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    /i'ed cost

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    ,iscretionar% /i'ed +osts0 6anagement can easil% change

    0Advertising- research and development

    6an% companies cut bac& on these costs $hensales drop7 This can be shortsighted7 8h%*

    +ommitted /i'ed +osts

    0+annot be easil% changed0 Rent- insurance

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    6i'ed cost

    +ontain both variable and fi'ed cost elements

    +an separate mi'ed costs into variable and

    fi'ed components0 "alesperson $ith base salar% fi'ed: and

    commission on sales variable:

    0 Base salar% included $ith fi'ed costs0 +ommission included $ith variable costs

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    "tepcost

    /i'ed cost for a specific range

    #ncreases to higher level $hen upper boundof range is e'ceeded

    ;se correct cost $hen budgeting for aparticular relevant range

    +ompan% adds third production shift- costincrease includes supervisor% salar%

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    Total cost ' ()*+!,0 aria.le cost er unit 1nits ro%uce% 3)+02000 Fi5e% costs

    65ecte% cost o 2,00 units ' ()*+!,0 2,00 3 )+02000 ')70,8,0

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    )igh lo$ cost method

    ;tili

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    Total costat highactivit%level

    Total cost atlo$ activit%

    level

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    )igh lo$ cost method

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    "tatistical techni.ue Estimates the slope and intercept of a cost

    e.uation

    /inds the best straight line fit to theobservations

    T%picall% statistical soft$are pac&ages are

    utili

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    Range of activit%

    Range of activit% for $hich estimates andpredictions are e'pected to be accurate

    > Accurac% e'pected onl% for production levels

    $ithin range ,ifficult to assess costs outside the relevant

    range

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    +ost volume

    The (rofit E.uation

    (rofit ? "(x: 0 V+x: 0 T/+

    8here@ x? uantit% of units produced and sold "( ? "elling price per unit

    V+ ? Variable cost per unitT/+ ? Total fi'ed cost

    /undamental to +V( anal%sis

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    +ost volume profit anal%sis

    The (rofit E.uation

    (rofit ? "(x: 0 V+x: 0 T/+

    8here@ x? uantit% of units produced and sold "( ? "elling price per unit

    V+ ? Variable cost per unitT/+ ? Total fi'ed cost

    /undamental to +V( anal%sis

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    Brea&>Even (oint2 ? "(x: 0 V+x: 0 T/+

    2 ? C422722 x)D C927Fx:D3G2-4H

    2 ? C422722 $90.83)x)D3G2-4H

    2 ? 32973Ix) 3G2-4H

    32973Ix) =3G2-4H

    x? 3G2-4H J 32973I

    x = 1,468.21 unitsBreak-even point is 1,469 units (a!a"s roun# up)

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    Revie$

    abb%s 8edding +a&es creates elaborate$edding ca&es7 Each ca&e sells for H227 Thevariable cost of ba&ing the ca&es is 422 andthe fi'ed cost per month is G-222

    1. Calculate the brea%-e'en point in units

    $(!!! " )$5!! - $2!!* # 2! ca%es

    2. +o many ca%es must be sold to earn a profit of $,!!!?

    )$,!!! $(!!!* " )$5!! - $2!!* # 5! ca%es

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    revie$

    17 At 8inford +orp7- the selling price per la$nmo$er is 342- variable cost per la$n mo$er isHH7 /i'ed costs are 3F2-2227 E'pected salesare 1-422 units7 8hat is profit e'pected to be*

    Ans$er here@ MMMMMMMMMMMMMMMMM

    6argin of safet% in units ? 1-422 0 4-222 ? 4-422

    4-422 units N GH unit +6 ? 31F-222

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    +ontribution

    ,ifference bet$een revenue and variablecosts

    0 +ontribution margin ?

    Total revenue minus total variable costs0 ;nit contribution margin ?

    "elling price minus variable cost per unit

    > The unit contribution margin measures theamount of incremental profit generated b%selling an additional unit

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    hetori/ 0nc. produces stereo spea%ers. hesellin price per pair of spea%ers is $3!!. he'ariable cost of production is $4!! and the

    fi/ed cost per month is $5!!!!.

    1. Calculate the unit contribution marin associated ith a pair ofspea%ers

    $3!! $4!! # $5!!2. Calculate the contribution marin ratio for hetori/ associated ith

    a pair of spea%ers

    )$3!! $4!!* " $3!! # !.(25

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    +ontribution margin

    ;sing the contribution margin and the contributionmargin ratio

    "( ? 422722- V+ ? 927F- +6 ? 422 0 927F ? 32973I- T/+ ?3G2-4H- profit ? 12-222

    ;nits to produce ?(rofit O T/+: J ;nit contribution margin

    12-222 O 3G2-4H: J 32973I ? 3-FH units

    "ales re.uired in dollars: ?

    (rofit O T/+: J +ontribution margin ratio

    +6 ratio ? 32973I J 422722 ? 27H1H9

    12-222 O 3G2-4H: J 27H1H9 ? FGG-92

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    Rhetori'- #nc7 produces stereo spea&ers7 The selling price per pair of spea&ers is 227 The

    variable cost of production is F22 and the fi'ed cost per month is H2-22271. 0f the company sells fi'e more spea%ers than planned hat is the e/pected effect on profit of sellin the

    additional spea%ers?

    5 spea%ers & $5!! unit C6 # $25!! profit

    2. 0f the company has sales that are $5!!! hiher than e/pected hat is the e/pected effect on profit?

    $5!!! & !.(25 # $4125

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    Learning outcome

    At the end of the chapter student can havea clear idea of

    /i'ed-variable cost

    Brea& even anal%sis +ontribution margin

    (rofit volume ratioand cost volume profit

    anal%sis $ith illustrations