In: Accounting
Break-Even Sales and Sales Mix for a Service Company
Zero Turbulence Airline provides air transportation services between Los Angeles, California; and Kona, Hawaii. A single Los Angeles to Kona round-trip flight has the following operating statistics:
Fuel $8,258
Flight crew salaries 6,325
Airplane depreciation 2,987
Variable cost per passenger—business class 40
Variable cost per passenger—economy class 30
Round-trip ticket price—business class 570
Round-trip ticket price—economy class 250
It is assumed that the fuel, crew salaries, and airplane depreciation are fixed, regardless of the number of seats sold for the round-trip flight. If required round the answers to nearest whole number.
a. Compute the break-even number of seats sold on a single round-trip flight for the overall product, E. Assume that the overall product is 10% business class and 90% economy class seats. Total number of seats at break-even?
b. How many business class and economy class seats would be sold at the break-even point?
Business class seats at break-even?
Economy class seats at break-even?
Answer: | |||
Total Fixed costs = Fuel + Flight crew salaries + Airplane depreciation = $ 8,258 + $ 6,325 + $ 2,987 |
$ 17,570 | ||
Product |
Contribution margin ( Ticket Price (-) variable Cost ) |
Contibution Ratio |
Weighted Average contribution margin |
Business class |
$ 530 ( $ 570 (-) $ 40 ) |
10% | $ 53 |
Economy class |
$ 220 ( $ 250 (-) $ 30 ) |
90% | $ 198 |
Weighted Average contribution margin | = | $ 251 | |
(a) |
Total number of seats at
break-even = Total Fixed costs / Wg. Avg. contribution margin = $ 17,570 / $ 251 |
70 Seats | |
(b) |
Business class seats at
break-even = Number of seats at break-even x Contibution ratio = 70 x 10% |
7 Seats | |
Economy class seats at
break-even = Number of seats at break-even x Contibution ratio = 70 x 90% |
63 Seats | ||