Pertinent information already calculated or given:
Sales Revenue: $639,111
Total Variable cost % (as percentage of sales revenue): 51.7%
Total Fixed Costs: $264,660
Average check: $9.59
Breakeven sales revenue = Fixed costs / (1 - VC%) = $264,660 / (1 - 51.7%) = $547,950
Breakeven in terms of number of guest using average check = $547,950 / $9.59 = 57,138 guests
The question is:
To increase the operating income by $20,000 in Year 2007’s sales revenue, how many extra guests are required? 4C will spend $1,000 for additional advertising and promotion as a fixed cost for Year 2007.
To increase the operating income by $20,000 in Year 2007’s sales revenue, Extra guests required = 4,533 (approx)
Workings
To calculate extra guests required we first need to calculate new break even number of guests to earn additional $20,000 in operating income
New break even sales = ((Fixed Cost+Desired Profit)/Contribution %)
= (264660+1000+20000)/(1-51.7%) = 285660/(48.3%) = $591,428.57
New break even number of guests = 591428.57/9.59 = 61,671
Additional guests requried = 61671-57138 = 4533
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