Answer:
Break-even point in units= 100,000 units
Explanation:
Giving the following information:
Your variable costs to produce each bottle is $1.
Your fixed costs are $100,000/year.
How many bottles must you sell at $3/bottle to cover your fixed costs and earn your target profit of $100,000
To calculate the number of units to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit)/ contribution margin per unit
Break-even point in units= (200,000) / (3 - 1)
Break-even point in units= 100,000 units
The number of bottles that must be sold at $3 per bottle to earn a target profit of $100,000 is 200,000 bottles.
Data and Calculations:
Variable cost per bottle = $1
Fixed cost per year = $100,000
Expected sales units in the first year = 300,000 bottles
Selling price per bottle = $3
Target profit = $300,000
Contribution margin per unit = $2 ($3 - $1)
Contribution margin ratio = 67% ($2/$3 x 100)
Sales units to achieve target profit = (Fixed Costs + Profit)/$2
= ($100,000 + $300,000)/$2
= 200,000 bottles
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