Answer:
1. $23.80
2. Break even Point (units) = 19,000 units and Break even Point (dollars) = $646,000
3. Unit sales to attain a target profit = 28,000 units and Dollar sales to attain a target profit = $952,000
4. Break even Point (units) = 28,500 units, Break even Point (dollars) = $969,000 and Dollar sales to attain a target profit = $1,428,000.
Explanation:
Variable Cost % = 100% - 30%
= 70%
Thus, variable expenses per unit = $34.00 × 70%
= $23.80
Break even Point is the level of activity where a firm makes neither a profit nor a loss.
Break even Point (units) = Fixed Cost / Contribution per unit
= $193,800 / ($34.00 ×30%)
= $193,800 / $10.20
= 19,000 units
Break even Point (dollars) = Fixed Cost / CM Ratio
= $193,800 / 0.30
= $646,000
Unit sales to attain a target profit = (Fixed Cost + Target Profit) / Contribution per unit
= ($193,800 + $91,800) / $10.20
= 28,000
Dollar sales to attain a target profit = (Fixed Cost + Target Profit) / CM Ratio
= ($193,800 + $91,800) / 0.30
= $952,000
When variable expenses reduce by $3.40 per unit.
Break even Point (units) = Fixed Cost / Contribution per unit
= $193,800 / ($34.00 - $23.80 - $3.40 )
= $193,800 / $6.80
= 28,500 units
Break even Point (dollars) = Fixed Cost / CM Ratio
= $193,800 / ($6.80/ $34.00)
= $969,000
Dollar sales to attain a target profit = (Fixed Cost + Target Profit) / CM Ratio
= ($193,800 + $91,800) / 0.20
= $1,428,000
