Answer 1:
Sales Revenue:
Variable costs:
Answer 2:
Formula to compute the required sales in units to break even:
First formula as required:
Rearranging the above to compute number of shows to break even:
= Fixed Cost / (Sales revenue per show - Variable costs per show)
= $728,000 / ($78,000 - $32,500)
=16
The number of shows needed annually to break even is 16
Answer 3:
Contribution margin = Sales per show - Variable cost per show = $78,000 - $32,500 = $45,500
Contribution margin in % = Contribution margin / Sales = $45,500 / $78,000 = 58.33%
Required sales in dollars to earn target profit of $5,687,500 = $10,998,628
Number of shows needed each year to earn a profit of $5,687,500 = $10,998,628 / Sales revenue per show = $10,998,628 / $78,000 = 141 (Rounded off)
The number of shows needed annually to earn a profit of $5,687,500 is 141
The profit goal of $5,687,500 is realistic since City Productions currently performs 145 shows a year.
Answer 4:
City Production performs 145 shows per year.
Sales Revenue = 145 * $78,000 = $11,310,000
Variable costs = 145 * $32,500 = $4,712,500
Contribution margin = $11,310,000 - $4,712,500 = $6,597,500
Operating profit = Contribution margin - Fixed cost = $6,597,500 - $728,000 = $5,869,500
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