25- break even

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STARTER: Carly wants to set up a Business making Apple Pies. What are her Fixed and Variable Costs?

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Page 1: 25- Break Even

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STARTER:Carly wantsto set up aBusiness makingApple Pies.

What are herFixed

and VariableCosts?

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Break even

Lesson Outcomes:• To understand how to work out the break-even point

mathematically

• To understand how to construct a break even chart

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Recap

• Sales Revenue

• Fixed cost

Variable cost• Total cost

• Average cost

• What’s another name for sales revenue?

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Work out the costs and the salesrevenue

Fixed costs

Total variablecosts

Total costs

Sales revenue

0 units 100 units 200 units 300 units

Fixed costs = £2,000Variable costs = £10 per unitSelling price = £20 per unit

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Work out the costs and the salesrevenue

Fixed costs

Total variablecosts

Total costs

Sales revenue

£2,000 £2,000 £2,000 £2,000

0 units 100 units 200 units 300 units

Fixed costs = £2,000Variable costs = £10 per unitSelling price = £20 per unit

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Using a grid to help you

Fixed costs

Total costs

Sales revenue

£2,000

£0

£2,000

£1,000

£2,000

£2,000

£2,000

£3,000

0 100 200 300

Fixed costs = £2,000Variable costs = £10 per unitSelling price = £20 per unit

Total variablecosts

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Using a grid to help you

Fixed costs

Total costs

Sales revenue

£2,000

£0

£2,000

£2,000

£1,000

£3,000

£2,000

£2,000

£4,000

£2,000

£3,000

£5,000

0 100 200 300

Fixed costs = £2,000Variable costs = £10 per unitSelling price = £20 per unit

Total variablecosts

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Using a grid to help you

Fixed costs

Total costs

Sales revenue

£2,000

£0

£2,000

£0

£2,000

£1,000

£3,000

£2,000

£2,000

£2,000

£4,000

£4,000

£2,000

£3,000

£5,000

£6,000

0 100 200 300

Fixed costs = £2,000Variable costs = £10 per unitSelling price = £20 per unit

Total variablecosts

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Fixed costs

Number of units

Costs andsalesRevenue£

Fixed costs£2,000

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Variable costs

Number of units

Costs andsalesRevenue£

Fixed costs

Variable costs

£2,000

0 100

£1,000

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Total costsCosts andsalesRevenue£

Fixed costs

Total costs

Variable costs

Number of units

0 100

£2,000

£1,000

£3,000

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Sales revenueCosts andsalesRevenue£

Fixed costs

Total costs

Variable costs

Sales revenue

Number of units

0 100200

£2,000

£1,000

£3,000

£4,000

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Break-even pointCosts andsalesRevenue£

Fixed costs

Total costs

Variable costs

Sales revenue

Number of units

0 100 200

£2,000

£1,000

£3,000

£4,000

Break-evenPoint

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Question 1

Fixed costs = £10,000

Variable costs = £10 per unit

Selling price = £50 per unit

• Work out the break even point

• Plot a break-even graph – Maximum y value is £15,000

 – Maximum x value is 300

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Using a grid to help you - 1

Fixed costs

Total costs

Sales revenue

0 100 200 300

Fixed costs = £10,000Variable costs = £10 per unit

Selling price = £50 per unit

FormulasFixed costs stay the sameTotal variable costs = variable costs x number of unitsTotal Costs = fixed costs + total variable costsSales revenue = selling price x number of units

Total variablecosts

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Question 2

Fixed costs = £5,000

Variable costs = £10 per unit

Selling price = £20 per unit

• Work out the break even point

• Plot a break-even graph – Maximum y value is £12,000

 – Maximum x value is 600

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Using a grid to help you - 2

Fixed costs

Total costs

Sales revenue

0 200 400 600

Fixed costs = £5,000Variable costs = £10 per unit

Selling price = £20 per unit

FormulasFixed costs stay the sameTotal variable costs = variable costs x number of unitsTotal Costs = fixed costs + total variable costsSales revenue = selling price x number of units

Total variablecosts

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Question 3

Fixed costs = £7,000

Variable costs = £7.50 per unit

Selling price = £21.50 per unit

• Work out the break even point

• Plot a break-even graph – Maximum y value is £13,000

 – Maximum x value is 600

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Using a grid to help you - 3

Fixed costs

Total costs

Sales revenue

0 200 400 600

Fixed costs = £7,000Variable costs = £7.50 per unit

Selling price = £21.50 per unit

FormulasFixed costs stay the sameTotal variable costs = variable costs x number of unitsTotal Costs = fixed costs + total variable costsSales revenue = selling price x number of units

Total variablecosts

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Question 4

Fixed costs = £2,000

Variable costs = £2 per unit

Selling price = £7.40 per unit

• Work out the break even point

• Plot a break-even graph• Units sold 400

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Question 5

Fixed costs = £23,000

Variable costs = £250 per unit

Selling price = £500 per unit

• Work out the break even point

• Plot a break-even graph• Units sold 150

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Using a grid to help you - 5

Fixed costs

Total costs

Sales revenue

0 50 100 150

Fixed costs = £23,000Variable costs = £250 per unit

Selling price = £500 per unit

FormulasFixed costs stay the sameTotal variable costs = variable costs x number of unitsTotal Costs = fixed costs + total variable costsSales revenue = selling price x number of units

Total variablecosts

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Extension task – mathematically

work out the break-even pointfor all the grids using theformula on the next slide

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How to calculate break-even pointwithout drawing a graph

• Break-even point = Fixed costs

Contribution

• Contribution = selling price – variable cost