Assignment – Shaquille Gaizka Abbiyah – 2481499999 – BD309

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.

1. Write the sales revenue equation as a function of passengers.
2. Write the total cost equation as a function of passengers.
3. What is the profit if the airline carries 420,000 passengers on this route during the season?
4. Using the BEP formula, determine the break-even number of passengers.
5. Determine the BEP graphically (plot R and C on the same axes). Which method do you prefer and why?

Status : 100%

Keterangan : saya sudah mengerjakan tugas dengan baik dan benar.

Bukti :

• Persamaan pendapatan (sebagai fungsi jumlah penumpang p):
  R(p) = 59 p

• Persamaan total biaya (sebagai fungsi p):
  C(p) = 12.000.000 + 24 p

• Laba jika p = 420.000:

  • Margin kontribusi per penumpang = 59 - 24 = 35 USD

  • Total kontribusi = 35 * 420.000 = 14.700.000 USD

  • Laba = 14.700.000 - 12.000.000 = 2.700.000 USD

• Titik impas (BEP):
  59 p = 12.000.000 + 24 p => p = 12.000.000 / 35 ≈ 342.857,14
  Jadi BEP ≈ 342.857 penumpang (dibulatkan ke atas: 342.858 penumpang)

• Metode:

  • Metode aljabar: cepat dan presisi untuk menghitung BEP (direkomendasikan untuk perhitungan).

  • Metode grafis: berguna untuk presentasi dan memberi intuisi visual (menunjukkan daerah untung/rugi).