Nama Anggota Kelompok:
-Sabrina Nuraini (No 1)
-Vina Robiatul (No 2)
-Mutia Zahra (No 3)
-Nadine Hasibuan (No 4)
Pertanyaan:
4. AirAsia is evaluating a new regional route. The fixed cost per season (lease, crew base setup, marketing, slot fees) is USD 12,000,000. The variable cost per passenger (fuel, catering, handling, sales fees) is USD 24, while the average fare is USD 59.
a. Write the sales revenue equation as a function of passengers.
b. Write the total cost equation as a function of passengers.
c. What is the profit if the airline carries 420,000 passengers on this route during the season?
d. Using the BEP formula, determine the break-even number of passengers.
e. Determine the BEP graphically (plot R and C on the same axes). Which method do you prefer and why?
Status:
100% selesai
Keterangan:
Saya telah menyelesaikan tugas ini dengan baik dan benar.
Bukti:
Fixed cost (FC) = USD 12,000,000
Variable cost per passenger (VC) = USD 24
Average fare (P) = USD 59
a. Sales revenue equation:
R(x) = 59x
b. Total cost equation:
C(x) = 12,000,000 + 24x
c. Profit if 420,000 passengers are carried:
\pi(420,000) = 59(420,000) – [12,000,000 + 24(420,000)]
= 24,780,000 – 22,080,000 = 2,700,000
✅ Profit = USD 2,700,000
d. Break-Even Point (BEP):
BEP = \frac{12,000,000}{59 – 24} = \frac{12,000,000}{35} = 342,857 \text{ passengers}
✅ BEP ≈ 342,858 passengers
e. BEP graphically:
Revenue line: slope = 59, passing through (0,0).
Cost line: slope = 24, intercept = 12,000,000.
Intersection = BEP (342,858 passengers).
Below is the BEP (Revenue vs Cost) graph for the AirAsia case:
