Marginal Analysis
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Jan 9, 2024
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Questions
What is the minimum number of passengers that Health Cruises must sign
up by November 20 to break even with the cruise? (Show your calculations.)
Fixed Costs:
Ship rental and crew: $220,000
Initial advertising budget: $65,000
Other administrative expenses: $10,000
Total fixed costs: $295,000
Variable Cost per Passenger: $200
Selling Price per Passenger: $1,500 (average)
Contribution Margin per Passenger=$1,500−$200=$1,300
Contribution Margin per Passenger=Selling Price per Passenger−Variable Cost per
Passenger
Break-even passengers= $295,000/ $1,300= 227 passengers Break-even passengers= Fixed costs/ Contribution Margin per passenger Should Health Cruises go ahead with the cruise, since 200 passengers had
signed up as of November 14?
Since the number of passengers needed to break even is 227, going ahead with
200 is a viable option since it's so close to covering its cost. It would be a bigger
loss not to get the contribution from the 200 passengers. The contribution margin
from all the current passengers is at $260,000 (200 * $1,300) which so far would
cover all the ship rental and crew expenses, all the other administrative expenses,
and almost half of the initial advertisement budget leaving a remaining of $35,000
in fixed costs to be covered. If they decided not to go ahead with the cruise the
losses would be bigger. Would it be worthwhile for Health Cruises to spend either $6,000 or $15,000
for advertising on November 20? If so, which figure would you recommend?
Campaign 1 ($6,000):
Cost: $6,000
Estimated Extra Passengers: 20
Contribution from Passengers: $1,300 * 20 = $26,000
Net Gain: $26,000 - $6,000 = $20,000
Campaign 2 ($15,000):
Cost: $15,000
Estimated Additional Passengers: 40
Contribution from Passengers: $1,300 * 40 = $52,000
Net Gain: $52,000 - $15,000 = $37,000
With campaign 1 the company would be investing the money, but the total fixed
cost would still not be covered since the net gain is $20,000 and the remaining
fixed cost from the current 200 passengers to break even is $35,000. I think they
should go for campaign 2 where the net gain is $37,000 allowing the company to
break even a generate a small profit. How realistic are Carolyn Sukhan’s estimates of 20 more passengers for the
$6,000 advertising campaign and 40 more passengers for the $15,000
campaign?
I gave my advice to the previous question thinking they achieved their goal of new
passengers per advertisement campaign. Nevertheless, in the first campaign, they
were short 100 passengers meaning they only got 66% of the expected
passengers or 2/3.
If we take into consideration the same rate to measure performance in the new
campaigns the first one would only get 13 to 14 passengers and the second one 26
to 27 new passengers. I think it's important to consider this since it's not completely realistic to assume this
time they would attract the full amount of people predicted. Should Health Cruises consider cutting its prices for this maiden voyage
health cruise?
I think they could consider some different strategies, maybe offering their already
signed-up passengers the most desirable stateroom at a lower price that would
incentivize them to upgrade their ticket to make the contribution margin per
passenger higher. If the contribution margin per passenger was $1,475 the
company would be breaking even which means that they only need each
passenger to spend $175 more. *To get to this conclusion I divided the remaining fixed cost needing to be covered
($35,000) by the amount of passengers (200) which I added to the contribution
margin per passenger. $35,000/200= $175
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