Assignment 3 BD309 [Matematika Bisnis] Afif Aditya Darmawan

Assignment 3 Matematika Bisnis

Soal : 

Assignment Chp 3 untuk Bisgen 2 dan 3

STATUS : 100%
KETERANGAN : Saya telah mengerjakan tugas ini dengan baik dan benar
BUKTI :

1. Economics textbook publisher
   a. Total cost: C(x) = 55x + 225,000
   b. Revenue: R(x) = 100x
   c. Profit at 3,000 books: 300,000 − 390,000 = −90,000
   d. Break-even point (BEP):
   100x = 55x + 225,000 → x = 5,000 books
   e. Graphical BEP at x = 5,000; algebraic method is preferred

   2.Stapler manufacturer
   a. BEP:
   12x = 2x + 15,000 → x = 1,500 staplers
   b. Total cost at BEP: 18,000
   c. Total revenue at BEP: 18,000
   d. Profit at BEP: 0

   3. Solution manual publisher
   a. Revenue: R(x) = 29.99x
   b. Total cost: C(x) = 4x + 15,000
   c. Profit at 2,000 manuals: 59,980 − 23,000 = 36,980
   d. BEP:
   29.99x = 4x + 15,000 → x ≈ 578 manuals
   e. Graphical BEP ≈ 578; algebraic method is preferred

   4. AirAsia (new regional route)
   a. Revenue: R(x) = 59x
   b. Total cost: C(x) = 24x + 12,000,000
   c. Profit at 420,000 passengers: 2,700,000
   d. BEP:
   59x = 24x + 12,000,000 → x ≈ 342,857 passengers
   e. Graphical BEP ≈ 343,000; algebraic method is faster and more precise