The number of cartons of calendars that Fast Spirit Calendars must sell each month to breakeven is 109500.
<h3>Breakeven</h3>
1. Number of cartons
Number of cartons=fixed expenses/contribution margin per carton
Number of cartons=1095000/(16.5-6.5)
Number of cartons=109500
2. Target sales in dollars
Contribution margin ratio=contribution margin per carton/sales price per carton =
Contribution margin ratio=(16.5-6.5)/16.5
Contribution margin ratio=.61
Target sales in dollars=(fixed expenses + target operating income)/ contribution margin ratio
Target sales in dollars=(1095000+312000)/.61
Target sales in dollars=2,306,557
3. Contribution margin income statement
Sales revenue 7,507,500
(16.50x455,000)
Cost of goods sold 5,105,100
(6.50x455,000x68%)
Operating expenses 2,402,400
(6.50x455,000x32%)
Contribution margin 4,550,000
[(16.5-6.5)×455,000]
Fixed expenses 1095000
Operating income 3,455,000
(4,550,000-1,095,000)
4. Margin of safety (in dollars)
Sales revenue - sales revenue at breakeven = margin of safety ( in dollars) - ( sales price per carton x breakeven cartons) = margin safety in dollars
Margin safety in dollars=7,507,500-(16.5x109500)
Margin safety in dollars=7,507,500-1,806,750
Margin safety in dollars=5,700,750
Operating leverage factor =Contribution margin/operating income
Operating leverage factor =4,550,000/3,455,000
Operating leverage factor =1.316
Operating leverage factor =1.32 (Approximately)
5. Operating income
Operating income increase=Sales volume x operating leverage factor
Operating income increase=11%x1.32
Operating income increase=.1452
New volume=Original volume + increase in volume
{[455,000+45,500 x(16.5-6.5)]-1095000}-3,455,000
=[500,500x10)-1095000]-3,455,000
=(5,005,000-1095000)-3,455,000
=3,910,000-3,455,000
=455,000
455,000/3,455,000
=0.132
Inconclusion the number of cartons of calendars that Fast Spirit Calendars must sell each month to breakeven is 109500.
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