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NCEA Level 1 Commerce · Price determination · Lesson 11

Sierra, how do you set the price?

Today you work out how Five Star's price for a full head of foils is set, from what a foil job costs Five Star and the profit Five Star wants. Then you use the price in an income statement and a break-even analysis.

Eleven sections, about an hour and ten minutes all up. One section is one sitting. Do that one and stop.

01

Before we start

Recall3 min

Three from the lessons so far. Have a go before you open them.

1Five Star's fixed costs are $1,560.00 a week, and each foil job adds $40.00 of variable costs. What are the total costs of a week of 12 foil jobs?

The total costs are $2,040.00 for the week.

Total costs=fixed costs + variable costs Total costs=$1,560.00 + (12 foil jobs × $40.00) Total costs=$1,560.00 + $480.00 = $2,040.00
2At $190.00 a foil job, what is Five Star's break-even point?

The break-even point is 11 foil jobs a week. The break-even point is the level of sales where the sales revenue equals the total costs. The break-even formula gives 10.4 foil jobs. Five Star cannot do part of a foil job, so the break-even point rounds up to 11.

3What is Five Star's pūtake?

Five Star's pūtake is to make a profit. A pūtake is the reason an organisation exists.

02

Scarcity: you cannot have everything

Learn4 min

Five Star had $4,800.00 saved. Five Star wanted two things: Option A, a website with a booking page and three months of advertising, and Option B, refitting the front of the salon.

Option A cost $3,400.00 and Option B cost $4,600.00. What could Five Star pay for?

Wanted: $8,000.00 Option A $3,400.00 Option B $4,600.00 Saved: $4,800.00 Short: $3,200.00
Five Star wanted both options, and could pay for only one.
Scarcity

Scarcity is when people want more than they can have, because their money, time and materials are limited. People have unlimited wants but limited means (money, time and materials), so people have to make decisions on what to prioritise.

Because of scarcity, Five Star had to decide which option to pay for.

03

Determine your price using cost-plus

Learn8 min

How much should Five Star charge for a full head of foils, cut and blow wave? There are many ways to decide a price. This section shows one of them, called cost-plus.

The table works out the price of a foil job for a projected week, which has not happened yet.

Work out the price, one line at a time

Press Add the next line under the table to build the table one line at a time.

Cost-plus for one foil job, in the projected week of 12 foil jobs
Estimated number of foil jobs12
How much profit do you want to make per week? (profit objective)$240.00
Fixed costs: rent and Sanjay's pay$1,560.00
Variable costs12 foil jobs × $40.00$480.00
Total cost of 12 foil jobs$1,560.00 + $480.00$2,040.00
Total cost of one foil job (the full cost)$2,040.00 ÷ 12 foil jobs$170.00
Mark-up you need to add to each foil job to meet your profit objectiveprofit objective per week ÷ estimated number of jobs per week
$240.00 ÷ 12 foil jobs
$20.00
Price$170.00 + $20.00$190.00

The mark-up is the amount added to the full cost to get the price. Here the mark-up is the profit on one foil job, $20.00.

Build the price yourself

Drag the slider to change the profit objective.

Cost-plus

  • Price$190.00
    • total cost of 12 jobs: $2,040.00
    • total cost of 1 job: $170.00
    • profit per job (mark-up): $20.00
Price=full cost of one foil job + profit on one foil job Price=$170.00 + ($240.00 ÷ 12 foil jobs) Price=$170.00 + $20.00 Price=$190.00

The full cost stays at $170.00, and only the mark-up changes. The slider keeps Five Star at 12 foil jobs a week at every price.

Cost-plus
Full cost of one unit=variable costs of one unit + share of the fixed costs Price=full cost of one unit + profit on one unit
Marker's rule

Show how the profit is added to the cost to get the price.

In a projected week of 12 foil jobs, a foil job costs Five Star $170.00. Five Star's profit objective of $240.00 a week is $20.00 a job, so the price is $190.00.

A foil job's variable costs are $40.00, so at $190.00 Five Star makes $150.00 of profit on a foil job.In the projected week, the $150.00 also has to pay the job's share of the rent and Sanjay's pay. Only $20.00 of it is profit.

04

The price in two models

Learn7 min

Cost-plus is a pricing strategy: a way of choosing a price. A projected income statement uses the same figures as cost-plus: the costs, the price and the profit. A break-even analysis adds one new figure: the break-even point, the number of foil jobs Five Star needs to cover its costs.

1 · Cost-plusThe full cost of $170.00 plus $20.00 of profit is $190.00.
then show the profit
2 · Income statementAt $190.00, the projected week makes $240.00 of profit.
then show the foil jobs needed
3 · Break-evenThe break-even point is 11 foil jobs a week, and Five Star expects 12.
Cost-plus gives the price. An income statement and a break-even analysis then use that price.

Work out the price, then use the price in two models

Drag the sliders. The price, the income statement and the break-even point all change together.

Cost-plus, then two models

Step 1: work out the price with cost-plus

Total cost of 12 foil jobs=$1,560.00 + (12 foil jobs × $40.00) = $2,040.00 Full cost of one foil job=$2,040.00 ÷ 12 foil jobs = $170.00 Mark-up=$240.00 ÷ 12 foil jobs = $20.00 Price=$170.00 + $20.00 = $190.00

Step 2: show the profit with the projected income statement

Five Star's projected income statement for one week of 12 foil jobs
Foil jobs12 foil jobs × $190.00$2,280.00
Sales revenue$2,280.00
less Colour12 foil jobs × $28.00$336.00
less Power12 foil jobs × $4.50$54.00
less Water12 foil jobs × $1.50$18.00
less Laundry12 foil jobs × $6.00$72.00
less Sanjay's pay40 hours × $24.00$960.00
less Rent$600.00
Total costs$2,040.00
Profit for the week, before company tax$240.00

The profit for the week is $240.00, the same as Five Star's profit objective.

Step 3: show the break-even point

Break-even point=fixed costs ÷ (price − variable costs of one foil job) Break-even point=$1,560.00 ÷ ($190.00 − $40.00) Break-even point=$1,560.00 ÷ $150.00 ≈ 10.40, so 11 foil jobs a week

Five Star expects 12 foil jobs a week, 1 more than the break-even point.

Marker's rule

Use your pricing strategy together with a model, such as a projected income statement or a break-even analysis. A pricing strategy on its own may not give enough evidence to meet the standard.

In a projected week of 12 foil jobs, the full cost of a foil job is $170.00 and the mark-up is $20.00, so the price is $190.00. The projected income statement shows a profit of $240.00 for the week. The break-even point is 11 foil jobs a week, and Five Star expects 12.

Five Star uses cost-plus, so the price is $190.00.

05

Information that supports the price

Learn6 min

Cost-plus uses Five Star's costs. Five Star also has other information that can support the price of a foil job.

Two kinds of information

Financial information is information in dollars about an organisation's own costs, revenue or profit.

Non-financial information is information that is not an amount in dollars of the organisation's own costs, revenue or profit. A survey of clients, other businesses' prices and the pūtake are non-financial information.

Sort Five Star's information

Card 1 of 6

The full cost of a foil job is $170.00.

Drag the card onto its box, or tap the box it goes in.

      What each piece of information shows

      Press a piece of information to see what it shows and what it cannot show.

      Two other salons nearby charge $175.00 and $210.00 for a full head of foils, cut and blow wave. Setting a price close to other businesses' prices is called competitive pricing.

      full cost $170.00 $175.00 (Salon 1) Five Star $190.00 $210.00 (Salon 2)
      Five Star's price is between the two other salons' prices, and above the full cost of a foil job.

      The costs first, then the other informationIn a projected week of 12 foil jobs, a foil job costs Five Star $170.00, and Five Star adds $20.00 of profit, so the price is $190.00. Other salons charge $175.00 and $210.00, so $190.00 is between the prices clients already pay at other salons.

      Other salons' prices on their ownFive Star charges $190.00 because other salons charge $175.00 and $210.00.The sentence never shows that $190.00 covers Five Star's costs and leaves a profit.

      Now see:

      Marker's rule

      Show first that the price covers the costs and leaves a profit. Then support the price with non-financial information, such as a survey or other organisations' prices.

      06

      Other pricing strategies

      Learn5 min

      Cost-plus is not the only pricing strategy. Three more are price skimming, psychological pricing and penetration pricing.

      Price skimming high first, lower later Penetration pricing low first, higher later time price time price Psychological pricing $189.99 just under a round number

      Cost-plus is the only strategy on this page that works out the costs first to determine the price. You should always start with cost-plus, and then use the other strategies as supplementary strategies.

      The other strategies should come after cost-plus

      Once cost-plus shows that the price covers the costs, Five Star can apply another strategy. At a psychological price of $189.99, a foil job still leaves $19.99 of profit over its $170.00 full cost. The week's profit is $239.88, just below the profit objective of $240.00.

      Profit for the week=(12 foil jobs × $189.99) − $2,040.00 Profit for the week=$2,279.88 − $2,040.00 = $239.88
      Marker's rule

      Price skimming, psychological pricing and penetration pricing do not show that a price covers the costs and leaves a profit.

      In a projected week of 12 foil jobs, a foil job costs Five Star $170.00, and Five Star adds $20.00 of profit, so the price is $190.00. The projected income statement shows a profit of $240.00 for the week.

      Five Star charges $189.99, because $189.99 looks cheaper than $190.00.

      Sort each sentence: does the sentence show that the price covers the costs and leaves a profit?

      Five Star charges $189.99, because $189.99 looks cheaper than $190.00.

      The sentence does not show that the costs are covered. The sentence uses psychological pricing and says nothing about Five Star's costs.

      In a projected week of 12 foil jobs, a foil job costs $170.00, and Five Star adds $20.00 of profit.

      The sentence shows that the costs are covered and a profit is left. The sentence starts from the full cost and adds the profit, which is cost-plus.

      Five Star charges a high price for a new treatment at first, and lowers the price later.

      The sentence does not show that the costs are covered. The sentence uses price skimming and gives no costs and no profit.

      At $190.00, the projected sales revenue of $2,280.00 pays the total expenses of $2,040.00.

      The sentence shows that the costs are covered and a profit is left. The projected income statement takes every cost away from the sales revenue and leaves a profit of $240.00.

      A new salon opens with a low price at first, to win clients.

      The sentence does not show that the costs are covered. The sentence uses penetration pricing and gives no costs and no profit.

      07

      Writing up how the price was set

      Learn6 min
      Marker's rule

      Use the same figures in your write-up as in your working.

      A write-up with every figure in it1 · How the price was set: Five Star set the price of a full head of foils by cost-plus. 2 · The full cost: in a projected week of 12 foil jobs, the total costs are $2,040.00, so the full cost of one foil job is $170.00. 3 · The price: Five Star's profit objective is $240.00 a week, which is $20.00 a job, so the price is $190.00. 4 · The profit: the projected income statement shows a profit of $240.00 for the week. 5 · The break-even point: the break-even point rounds up to 11 foil jobs a week, 1 fewer than the 12 foil jobs Five Star expects. 6 · The support: in a survey, 17 of 20 clients said they would pay $190.00, and other salons charge $175.00 and $210.00.

      No figuresI used cost-plus, so the price covers the costs and leaves a profit.The sentence gives no cost, no profit and no price, so nothing in it can be checked.

      08

      Fair questions

      Learn5 min

      The questions this lesson makes people ask, answered simply.

      1Can the mark-up be a percentage instead of a dollar amount?

      Yes, the mark-up can be a percentage or a dollar amount. A percentage mark-up is the mark-up divided by the full cost, times 100. For a foil job, the percentage mark-up is $20.00 ÷ $170.00 × 100 = 11.8%.

      2Why does Five Star not charge $210.00, like the more expensive salon?

      Five Star keeps $190.00 because a higher price makes more profit only if enough clients still book. Cost-plus and the income statement both assume 12 foil jobs a week. In the survey, only 6 of the 20 clients asked would pay $210.00, so at $210.00 Five Star might not get 12 foil jobs a week.

      09

      Three ways to lose a mark

      Practise6 min

      Each of these sentences loses a mark. Work out what is wrong before you open the answer.

      1I used psychological pricing. $189.99 looks cheaper than $190.00, so Five Star charges $189.99.What would a marker say?

      The problem. Psychological pricing starts from a price already chosen. The answer never shows that the price covers the costs and leaves a profit.

      Cost-plus shows that the price covers the costs and leaves a profit. Psychological pricing does not.

      Do this instead

      In a projected week of 12 foil jobs, a foil job costs Five Star $170.00, and Five Star adds $20.00 of profit, so the cost-plus price is $190.00. Five Star then uses psychological pricing and charges $189.99, because $189.99 looks cheaper than $190.00. At $189.99, a foil job still leaves $19.99 of profit.

      Set the price by cost-plus first. Psychological pricing comes after cost-plus.

      2Five Star charges $190.00 because the other salons charge $175.00 and $210.00.What would a marker say?

      The problem. Other salons' prices cannot show that $190.00 covers Five Star's costs.

      The other salons' costs may be different from Five Star's costs.

      Do this instead

      In a projected week of 12 foil jobs, a foil job costs Five Star $170.00, and Five Star adds $20.00 of profit, so the price is $190.00. Other salons charge $175.00 and $210.00, so $190.00 is between the prices clients already pay at other salons.

      Show the costs and the profit first, then use the other salons' prices.

      3Five Star uses cost-plus. The full cost is $170.00 and the mark-up is $20.00, so the price is $190.00.What would a marker say?

      The problem. The cost-plus working is right, but the answer uses no second model.

      A pricing strategy on its own may not give enough evidence.

      Do this instead

      Five Star uses cost-plus. In a projected week of 12 foil jobs, the full cost is $170.00 and the mark-up is $20.00, so the price is $190.00. The projected income statement for 12 foil jobs shows a profit of $240.00 for the week. The break-even point is 11 foil jobs a week, 1 fewer than the 12 foil jobs Five Star expects.

      Use a second model with cost-plus, such as a projected income statement or a break-even analysis.

      10

      The words from today

      Reference4 min

      The words this lesson introduced, each with an example that is right and one that is not.

      When people want more than they can have, because their money, time and materials are limited. People have unlimited wants but limited means (money, time and materials), so people have to make decisions on what to prioritise.

      ScarcityFive Star wanted Option A at $3,400.00 and Option B at $4,600.00, and had $4,800.00, so Five Star could pay for only one option.

      Not scarcity (but a cost)“Five Star's rent is $600.00 a week.” A cost on its own is not a choice between two wants.

      A way to decide a price: the full cost of one unit, plus the profit wanted on each unit.
      Cost-plus
      Price=full cost of one foil job + mark-up Price=$170.00 + $20.00 = $190.00

      Not cost-plus (but other salons' prices)“Five Star charges $190.00 because other salons charge $175.00 and $210.00.” Cost-plus starts from Five Star's own costs.

      The amount added to the cost to get the price.

      A mark-upThe mark-up is the $20.00 added to the $170.00 full cost of a foil job.

      Not a mark-up (but the price)“The mark-up is $190.00.” $190.00 is the price; the mark-up is what was added to the cost.

      The profit a business plans to make in a period.

      A profit objectiveFive Star wants the foil jobs to make $240.00 of profit a week.

      Not a profit objective (but a wish with no amount)“Five Star wants to make a good profit.” A profit objective has an amount and a period.

      An income statement for a projected period, worked out from the figures the business expects.

      A projected income statementFive Star's statement for a projected week of 12 foil jobs shows sales revenue of $2,280.00, total expenses of $2,040.00 and a profit of $240.00.

      Not a projected income statement (but last week's statement)An income statement for last week. Last week has happened, so its statement is not projected.

      A way of choosing a price, such as cost-plus, price skimming, psychological pricing, penetration pricing or competitive pricing.

      A pricing strategyCost-plus: the full cost of a foil job plus the profit wanted.

      Not a pricing strategy (but a price)$190.00. $190.00 is the price a strategy gives.

      The variable costs of one unit plus its share of the fixed costs.

      A full costIn a projected week of 12 foil jobs, the full cost of a foil job is $40.00 plus $130.00, which is $170.00.

      Not the full cost (but the variable costs alone)$40.00. The share of the fixed costs is missing.

      A high price for something new, lowered later.

      Price skimmingFive Star prices a new treatment high while it is new, then lowers the price.

      Not price skimming (but penetration pricing)A low price when a salon first opens. Price skimming starts high, not low.

      A price set just below a round number, so it seems cheaper.

      Psychological pricing$189.99 instead of $190.00.

      Not psychological pricing (but cost-plus)The full cost of $170.00 plus $20.00 of profit. A price built from the full cost and the profit is cost-plus.

      A low price when a business starts selling something, to win clients, raised later.

      Penetration pricingA low price for foils when a salon first opens, raised once clients come back.

      Not penetration pricing (but price skimming)A high price for a new treatment. Penetration pricing starts low, not high.

      Setting a price close to other businesses' prices.

      Competitive pricingFive Star sets its price between the $175.00 and $210.00 that two other salons nearby charge.

      Not competitive pricing (but psychological pricing)$189.99 instead of $190.00. $189.99 is set just below a round number, not from other businesses' prices.

      Information in dollars about an organisation's own costs, revenue or profit.

      Financial informationThe full cost of a foil job is $170.00.

      Not financial information (but a survey)In a survey, 17 of 20 clients said they would pay $190.00. The survey records what clients say, not Five Star's own costs or profit, so the survey is non-financial information.

      Information that is not an amount in dollars of the organisation's own costs, revenue or profit. A survey of clients, other businesses' prices and the pūtake are non-financial information.

      Non-financial informationFive Star's pūtake is to make a profit.

      Not non-financial information (but a cost)Five Star's rent is $600.00 a week. The rent is one of Five Star's own costs, so the rent is financial information.

      11

      Your turn

      Practise15 min

      These four tasks use Five Star's figures from this lesson.

      What you know

      Foil jobs in the projected week12
      Fixed costs, each week (rent and Sanjay's pay)$1,560.00
      Variable costs, each foil job$40.00

      a.Five Star wants more profit and changes its profit objective to $300.00 a week. Work out the full cost of one foil job and the price, by cost-plus.

      Show me a model answer
      One that would work
      Total costs=$1,560.00 + (12 foil jobs × $40.00) = $2,040.00 Full cost of one foil job=$2,040.00 ÷ 12 foil jobs = $170.00 Profit on one foil job=$300.00 ÷ 12 foil jobs = $25.00 Price=$170.00 + $25.00 = $195.00

      Only the profit objective changed, so only the mark-up and the price changed: the mark-up from $20.00 to $25.00, and the price from $190.00 to $195.00.

      • Did you share the fixed costs between the 12 foil jobs, as well as the variable costs?
      • Did you add the profit on one foil job, not the whole week's profit objective?

      b.Use the price of $195.00 in two models. What profit does the projected income statement for 12 foil jobs show, and what is the break-even point?

      Show me a model answer
      One that would work
      Sales revenue=12 foil jobs × $195.00 = $2,340.00 Profit=sales revenue − total expenses Profit=$2,340.00 − $2,040.00 = $300.00 Break-even point=fixed costs ÷ (price − variable costs of one foil job) Break-even point=$1,560.00 ÷ ($195.00 − $40.00) Break-even point=$1,560.00 ÷ $155.00 = 10.06, so 11 foil jobs a week

      If Five Star does 12 foil jobs at $195.00, the profit for the week is the profit objective. The break-even point is the number of foil jobs Five Star needs to cover the total costs at $195.00.

      • Is the profit the same as the profit objective, $300.00?
      • Did you round the break-even point up?

      c.Write up how the price of $195.00 was set, with the figures from tasks a and b. Give the cost-plus working first, then the two models.

      Show me a model answer and how to mark myself
      One that would work

      “Five Star set the price of a full head of foils by cost-plus. In a projected week of 12 foil jobs, the total costs are $2,040.00, so the full cost of one foil job is $170.00. Five Star's profit objective is $300.00 a week, which is $25.00 a job, so the price is $195.00. The projected income statement shows a profit of $300.00 for the week. The break-even point rounds up to 11 foil jobs a week, 1 fewer than the 12 foil jobs Five Star expects.”

      The write-up gives the full cost, the profit on one foil job and the price, then the profit for the week and the break-even point, each the same figure as in tasks a and b.

      • Does the write-up say the price was set by cost-plus, with the full cost and the profit?
      • Are the projected week and its 12 foil jobs in the write-up?
      • Is every figure the same as in your working for tasks a and b?

      d.A friend says: “Charge $199.00. Prices ending in 99 sell better.” Explain why the friend's reason alone is not enough to set Five Star's price.

      Show me a model answer
      One that would work

      “The friend's reason is psychological pricing. Psychological pricing starts from a price already chosen and does not show that $199.00 covers Five Star's costs and leaves a profit. Five Star should set the price by cost-plus first, from the full cost of $170.00 a foil job, and then use the price in a projected income statement and a break-even analysis. A survey of clients can then support the price.”

      The answer names the strategy, says what the strategy cannot show, and says what to do instead.

      • Did you name the strategy: psychological pricing?
      • Did you say what psychological pricing cannot show: that the price covers the costs and leaves a profit?
      You set a price by cost-plus, used the price in two models, wrote up how the price was set, and explained why a strategy alone is not enough. Open the model answers and mark yourself against the ticks. Check the write-up most carefully: every figure in the write-up has to match your working.
      Lesson 11 done

      Go Sierra, go!

      You worked out the price of a full head of foils by cost-plus, from the full cost of a foil job and Five Star's profit objective, and used the price in a projected income statement and a break-even analysis. Next, the colour costs Five Star more, and you work out what Five Star could do about the price.