The fixed cost is $85,000.
The variable cost per unit is $7.25.
The contribution margin is $22.75.
The break-even point is 3,736.26.
The units to be sold to have a profit of $75,000 is 7033
A fixed cost is a cost that does not change with the level of output of the good produced. Variable cost is the cost that changes with the level of output. Contribution margin is selling price per unit les variable cost per unit. Breakeven point is the point where total selling price is equal to total cost price.
Variable cost = $2.10 + $0.15 + $5 = $7.25
Contribution margin = selling price - variable cost
$30 - $7.25 = $22.75
Break-even point = $85000 / $22.75 = 3736.26
Profit = selling price - cost price
$75,000 = (30y) - ($85,000 + 7.25y)
Where y is the number of units
$75,000 = 22.75y - 85,000
$160,000 = 22.75y
y = 7033
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