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    Break-even analysis

    Introduction

    PhotobyA.

    Morris.

    Usedwithpermission

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    Break-even analysis

    Break-even: The level of output atwhich the total costs of making theitems equals the total revenue received

    from selling themMargin of safety: The difference

    between the current level of output and

    the break-even level of output

    *

    Margin of Safety = Current Output Breakeven Output

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    Break-even

    1. The graphical

    method

    PhotobyA.

    Morris.

    Usedwithpermission

    Tutor2u Break-even simulator

    Use Tutor2us excellent Break-even Simulator on an

    interactive whiteboard to demonstrate the relationshipsbetween the various variables.

    http://www.tutor2u.net/assets/simulations/breakeven_simulator_1.swfhttp://www.tutor2u.net/assets/simulations/breakeven_simulator_1.swf
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    Costs and revenuetask

    Bobby Stokes makes Glory Materials cost 2 and overheads are 1 million per month

    His factory has a capacity of 200,000 Glories

    Bobby sells Glory to wholesalers for 10

    Construct a data table of his costs and revenue (FC,VC, TC, TR) for ranges of output from 0 to 200,000units use increments of 20,000 units

    From the data table, sketch a graph with the y-axis scale ranging from 0 to 2,000,000

    Identify the break-even point

    *

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    Costs and revenuequick questions

    Looking at your graph, how many Gloriesmust Bobby produce if he is to break-even?

    Define break-even in a single sentence

    Reading from your graph, estimate theamount of profit/loss Bobby will make if hemakes and sells:

    60,000 Glories

    160,000 Glories

    *

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    Break-even Simulator (Tutor2u)task

    Use the simulator to find the total contribution andnet profit when: Selling price = 50

    Variable cost per unit = 26

    Fixed costs = 350,000

    (Expected output = 15,000 units)

    By how much should selling price change if the firmwishes to aim for a net profit of 40,000? What is the margin of safety at that output? What does this

    mean?

    Management is reluctant to raise price. Why do you think this might be?

    How else could they try to achieve this target profit?

    *

    http://www.tutor2u.net/assets/simulations/breakeven_simulator_1.swfhttp://www.tutor2u.net/assets/simulations/breakeven_simulator_1.swf
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    Break-even analysis

    2. Calculation

    method

    PhotobyA.

    Morris.

    Usedwithpermission

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    Calculating break-even

    Contribution:Defined as thecontribution that selling a single unitmakes towards fixed costs and profit

    Contribution = Price per unit Variable Cost per unit

    Break-even point =

    *

    Fixed costs

    contribution

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    Calculating break-evenExample

    You manufacture CDs. You sell them toretailers for 8. The variable cost perCD is 1 and fixed costs are 70,000

    What is the break-even output?

    *

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    Calculating break-evenExample

    A fast-food restaurant sells meals for 6 each The variable costs of preparing and serving

    each meal are 2

    The monthly fixed costs of the restaurant

    amount to 3,600

    How many meals must be sold each month tobreak even?

    If the restaurant sold 1,500 meals in April,what were the margin of safety and profit inthat month?

    *

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    Break-even analysis

    Katies Cards

    Ph

    otobyelle_

    rigby.

    Usedwithpermis

    sion

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    Breakeven analysisKaties Cards question

    Katie makes greetings cards. She hasestimated that her fixed costs for the first sixmonths of operation would be 3,000. Thevariable cost per card is estimated at 60p,

    and Katie set a selling price to retailers of1.80 per card

    Showing your working, calculate Katiesbreak-even output for her first six months in

    operation If she sells 3,000 cards, how much profit will

    she make?

    *

    Photoby

    elle_

    rigby.

    Usedwithpermission

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    Break-even analysis

    MugUp task

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    hotobyPiddy77.

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    Break-even analysisTask MugUp Ltd MugUp Ltd has sufficient capacity to produce 120,000 drinking

    mugs per year The variable cost of producing each mug is 20p and fixed costs

    total 20,000 per year

    The mugs are sold to wholesalers for 60p each

    a. Calculate:1. contribution per mug2. break-even output3. the margin of safety if current output is 90,000 mugs4. profits at full capacity

    b. Assuming that unit variable costs, fixed costs and capacity

    remain unchanged, calculate the price that MugUp would haveto charge wholesalers to obtain the target profit of 40,000 peryear at full capacity output

    *

    Alternative method

    http://mugup%20ltd%20qns.pdf/
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    Break-even analysis

    Uses and limitations

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    Break-even analysisuses and limitations

    Break-even analysis only really works for abusiness with one product

    Involves so much simplification as to beworthless

    e.g. generalising costs into fixed and variable In reality (but not in exams!) the language of

    break-even is more important than themathematics

    Break-even point Contribution

    Margin of safety

    *

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    Cashflow forecasting

    http://www.easilyinteractive.com/http://../Accounting%20and%20Finance%20Overview%20Pres.ppthttp://../5.%20Cashflow%20Forecasting/Cashflow%20forecasting%20Pres.ppthttp://www.easilyinteractive.com/