Assignment 3 – BD309 – Zaki Arya Ersanto – 2481416723

Pertanyaan

1. A publisher of a current economics textbook determines that the manufacturing. costs directly attributable to each book are $55 and that the fixed costs of production are $225,000. The publisher sells each book for $100 per copy.

 

a. Determine the equation relating the total cost to the number of books published.

 

b. Determine the equation relating the sales revenue to the number of books. sold.

 

c. Determine the profit if 3000 books are published and sold.

 

d. Algebraically determine the BEP for this process.

 

e. Determine the BEP in Exercise 1 graphically. Which method do you prefer?

 

2. A manufacturer of staplers determines that the variable costs directly attributable to each stapler are $2 and that the fixed costs are $15,000. Each stapler sells for $12.00.

 

a. Determine the BEP for this process both graphically and algebraically.

 

b. Determine: the total cost of the process at the BEP

 

c. Determine the total sales revenue of the process at the BEP

 

d. Calculate the profit at the BEP

 

1. A publisher of a current solution manual to a textbook determines that the manufacturing costs directly attributed to each manual are $4 and that the fixed costs are $15,000. The publisher sells each manual for $29.99 per copy.

 

a. Determine the equation relating the sales revenue to the number of manuals published.

 

b. Determine the equation relating the total cost to the number of manuals.

 

c. What will the profit be if 2000 manuals are published?

 

d. Using Equation of BEP, determine the BEP for this process.

 

e. Determine the BEP graphically. Which method do you prefer?

 

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%

Keterangan: saya sudah mengerjakan tugas ini dengan benar

Bukti: 

1. Buku Teks

Biaya total = biaya tetap + biaya per buku × jumlah buku →

C(x) = 225.000 + 55x

Pendapatan = harga jual × jumlah buku →

R(x) = 100x

Profit = pendapatan – biaya total →

P(x) = 45x – 225.000

Kalau cetak & jual 3000 buku → rugi 90.000.

BEP terjadi saat R = C → butuh jual 5000 buku biar impas.

Grafik bisa, tapi cara hitung aljabar lebih cepat & jelas.

 

2. Stapler

Biaya total = 15.000 + 2x

Pendapatan = 12x

BEP: butuh jual 1500 stapler.

Total biaya di BEP = 18.000, total pendapatan juga 18.000, jadi profit = 0 (namanya juga impas).

Grafik bantu lihat titik potong, tapi hitungan aljabar lebih simpel.

 

3. Solution Manual

Pendapatan = 29,99x

Biaya total = 15.000 + 4x

Kalau jual 2000 manual → profit 36.980.

BEP = sekitar 578 manual (baru balik modal).

Grafik bisa digambar, tapi hasil pasti lebih enak pakai hitungan.

 

4. AirAsia – Rute Baru

Pendapatan = 59 × jumlah penumpang

Biaya total = 12.000.000 + 24 × jumlah penumpang

Kalau angkut 420.000 penumpang → untung 2,7 juta USD.

BEP = sekitar 343 ribu penumpang.

Grafik bisa kasih

gambaran visual, tapi aljabar lebih cepat buat angka pastinya.

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