Playtime Park competes with Water World by providing a variety of rides. Playtime Park sells tickets at $ 60 per person as a one-day entrance fee. Variable costs are $ 24 per person, and fixed costs are $ 226,800 per month. The break-even number of tickets is 6,300. If Playtime Park expects to sell 7,000 tickets, compute the contribution margin, operating income, and operating leverage, Estimate the operating income if sales increase by 15 %.
Ans. | Contribution margin | $252000 | |||||
*Calculation: | |||||||
Sales (60*7000) | 420000 | ||||||
Less: Variable cost (24*7000) | 168000 | ||||||
Contribution margin | 252000 | ||||||
Ans. | Operating income | $25200 | |||||
*Calculation: | |||||||
Sales (60*7000) | 420000 | ||||||
Less: Variable cost (24*7000) | 168000 | ||||||
Contribution margin | 252000 | ||||||
Less: Fixed cost | 226800 | ||||||
Operating income | 25200 | ||||||
Ans. | Operating leverage | 10 | |||||
*Calculation: | |||||||
Operating leverage = Contribution / Opearting income | |||||||
252000 / 25200 | |||||||
10 | |||||||
Ans. | Operating income | $63000 | |||||
Increase in sales = 7000 + 15% = 8050 units | |||||||
*Calculation: | |||||||
Sales (60*8050) | 483000 | ||||||
Less: Variable cost (24*8050) | 193200 | ||||||
Contribution margin | 289800 | ||||||
Less: Fixed cost | 226800 | ||||||
Operating income | 63000 | ||||||
*Fixed cost always remains unchanged. | |||||||
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