Answer:
1. Supposed Funday Park cuts its ticket price from $85 to $68 to increase the number of tickets sold. Compute the new break even point in tickets and in sales dollars.
a. The new break even point in tickets is?
= $428,400 / ($68 - $17) = 8,400 tickets
b. The new break even point in sales dollars is?
8,400 x $68 = $571,200
2. Ignore the information in question 1. Instead assume that Funday Park increases the variable cost from $17 to $34 per ticket. Compute the new break even point in tickets and in sales dollars.
a. The new break even point in tickets is?
= $428,400 / ($85 - $34) = 8,400 tickets
b. The new break even point in sales dollars is?
8,400 x $85 = $714,000
3. Ignore questions 1 and 2. Supposed Funday Park reduces fixed costs from $428,400 per month to $319,600 per month. Compute the new break even point in tickets and in sales dollars.
a. The new break even point in tickets is?
= $319,600 / ($85 - $17) = 4,7400 tickets
b. The new break even point in sales dollars is?
4,700 x $85 = $399,500
4. Ignore information in questions 1 - 3. If Funday Park expects to sell 6,400 tickets, compute the margin of safety in tickets and in sales dollars.
break even point = $428,400 / ($85 - $17) = 6,300
a. Margin of safety in units = (6,400 - 6,300) / 6,400 = 1.56%
b. Margin of safety in dollars = ($544,000 - $535,500) / $544,000 = 1.56%
5. Ignore information in questions 1 - 4. If Funday Park expects to sell 6,400 tickets, compute the operating leverage. Estimate the operating income if sales increase by 20%.
EBIT₀ = [6,400 x ($85 -$17)] - $428,400 = $435,200 - $428,400 = $6,800
EBIT₁ = [7,680 x ($85 -$17)] - $428,400 = $522,240 - $428,400 = $93,840
% change in EBIT = ($93,840 - $6,800) / $6,800 = 12.8 x 100 = 1280%
a. Degree of operating leverage = 1280% / 20% = 64
b. Estimate the new operating income if total sales increase by 20%?
The estimated operating income will be $93,840
