a)
Selling price per unit = $10
Variable cost per unit = $6
Fixed cost = $10,000
Contribution margin per unit = Selling price per unit – Variable cost per unit
= 10 - 6
= $4
Break even point (units) = Fixed cost/Contribution margin per unit
= 10,000/4
= 2,500
At the break even level, profit earned is zero.
Let the break even occurs at K units
Profit = Sales -Variable costs - Fixed costs
0 = 10K - 6K - 10,000
4K = 10,000
K = 2,500
b)
Target profit = $6,000
Units to be sold to get a target profit = (Fixed cost + Target profit)/Contribution margin per unit
= (10,000 + 6,000)/4
= 16,000/4
= 4,000
Monthly sales to earn target profit of $6,000 = 4,000 units
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