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Answer:
a) We have:
Total contribution margin in dollars = $24,180
Per unit contribution margin = $39
Contribution margin ratio = 30%
b) We have:
Break-even point in dollars = $54,600
Break-even point in in units = 420 units
Explanation:
Note: This question is not complete as its part b is missing. The part b of the question is therefore provided to complete it before answering it as follows:
b) Using the contribution margin technique, compute the break-even point in dollars and in units.
The explanation of the answer is now provided as follows:
a) Determine the total contribution margin in dollars, the per unit contribution margin, and the contribution margin ratio
Average price = $130
Variable costs = Average price * 70% = $130 * 70% = $91
Total sales = Number of clients * Average price = 620 * $130 = $80,600
Total variable cost = Total sales * 70% = $80,600 * 70% = $56,420
Therefore, we have:
Total contribution margin in dollars = Total sales - Total variable cost = $80,600 - $56,420 = $24,180
Per unit contribution margin = Average price - Variable costs = $130 - $91 = $39
Contribution margin ratio = (Total contribution margin in dollars / Total sales) * 100 = ($24,180 / $80,600) * 100 = 30%
b) Using the contribution margin technique, compute the break-even point in dollars and in units.
Break-even point in dollars = Fixed cost / Contribution margin ratio = $16,380 / 30% = $54,600
Break-even point in in units = Fixed cost / Per unit contribution margin = $16,380 / $39 = 420 units
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