A company faces fixed costs of $100,000 and variable costs of $8 per unit. It plans to directly sell its product in the market for $12. How many units must it produce and sell to break even? Show your math.
If company wants to sell it at break even, then the cost price and selling price will be equal.
If variable cost is $8 per unit and selling price is $12, then
Fixed price per unit = selling price - variable cost
= 12 - 8
= $4
To find number of units,
Number of units to be sold = Total fixed cost / fixed cost per unit
= 100000/ 4
= 25000 units.
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