Mkt100 Metrics Mastery Worksheets



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Metrics Mastery - Break Even Solution

Worksheet: Metric 7 Break-Even





  1. Apprentice Mousetraps wants to know how many units of its “Magic Mouse Trapper” it must sell to break even. The product sells for $20. It costs $5 per unit to make. The company’s fixed costs are $30,000.

Answer:
Break-Even Volume (#) = Fixed Costs ($) / Contribution per Unit ($)


Contribution per Unit = Sales Price per Unit – Variable Cost per Unit
= $20 – $5
= $15
Break-Even Volume (#) = $30,000 / $15
= 2,000 mousetraps

  1. Apprentice Mousetraps wants to know how many dollars’ worth of its “Deluxe Mighty Mouse Trapper” it must sell to break even. The product sells for $40 per unit. It costs $10 per unit to make. The company’s fixed costs are $30,000.

Answer:
Break-Even Revenue ($) = Fixed Costs ($) / Contribution Margin (%)


Contribution Margin (%) = Contribution per Unit / Selling Price per Unit
Contribution per Unit ($) = Price per Unit – Variable Cost per Unit
= $40 - $10
= $30
Contribution Margin (%) = $30 / $40 * 100
= 75%
Break-Even Revenue ($) = $30,000 / 75%
= $40,000

-OR-

Break-Even Revenue ($) = Break-Even Volume (#) * Price per Unit ($)
Break-Even Volume (#) = Fixed Costs ($) / Contribution per Unit ($)
Contribution per Unit = Sales Price per Unit – Variable Cost per Unit
= $40 – $10
= $30
Break-Even Volume (#) = $30,000 / $30
= 1,000 units
Break-Even Revenue ($) = 1,000 * $40
= $40,000


  1. John’s Clothing Store employs three salespeople. It generates annual sales of $1 million and an average contribution margin of 30%. Rent is $50,000. Each sales person costs $50,000 per year in salary and benefits. How much would sales have to increase for John to break even on hiring an additional salesperson?

Answer:
If the additional fixed cost of a salesperson is $50,000 and with an average contribution margin of 30%, then:


Break-Even Revenue ($) = Fixed Costs ($) / Contribution Margin (%)
= $50,000 / 30%
= $166,666.67
Therefore sales would have to increase by $166,666.67 for John to break even on hiring an additional salesperson.



  1. A corn farmer wishes to identify how many bushels of corn he must sell to cover his fixed cost at a given price. The farmer has costs consisting of $500 in real estate taxes, $700 interest on a bank loan, and $800 in other fixed expenses. The variable cost per bushel is $1, and covers labour, corn seed, herbicides and pesticides. If the price per bushel is $2, how many bushels must he sell to break even?

Answer:
Break-Even Volume (#) = Fixed Costs / Contribution per Unit


Fixed Costs = $500 + $700 + $800
= $2000
Contribution per Unit ($) = Price – Variable Cost per Unit
= $2 - $1
= $1
Break-Even Volume (#) = $2000 / $1
= 2000 bushels

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