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
3. 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.
Status: 100% sudah tercapai
Keterangan: saya sudah mengerjakan assignment 3 dengan baik dan benar
Bukti:
Soal 1:
Diketahui:
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Biaya tetap = $225.000
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Biaya per buku = $55
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Harga jual per buku = $100
a. Persamaan biaya total:
C(x)=225.000+55x
(artinya: total biaya = biaya tetap + biaya variabel per buku × jumlah buku)
b. Persamaan pendapatan (penjualan):
R(x)=100x
c. Laba (profit) jika menjual 3.000 buku:
P(x)=R(x)−C(x)=100x−(225.000+55x)=45x−225.000
P(3.000)=45(3.000)−225.000=135.000−225.000=−90.000
Hasil: rugi $90.000
d. Titik impas (BEP) secara aljabar:
100x=225.000+55x⇒45x=225.000⇒x=5.000
BEP = 5.000 buku
e. BEP secara grafik:
Titik potong antara garis biaya total dan garis pendapatan berada di x = 5.000.
Metode aljabar lebih mudah dan cepat, sedangkan grafik membantu untuk melihat hubungan secara visual.
Soal 2:
Diketahui:
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Biaya tetap = $15.000
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Biaya per stapler = $2
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Harga jual per stapler = $12
a. Titik impas (BEP) secara aljabar:
12x=15.000+2x⇒10x=15.000⇒x=1.500
BEP = 1.500 stapler (pada titik ini pendapatan = biaya)
b. Total biaya pada BEP:
C(1.500)=15.000+2(1.500)=18.000
c. Total pendapatan pada BEP:
R(1.500)=12(1.500)=18.000
d. Laba pada BEP:
P=R−C=18.000−18.000=0
Tidak ada laba atau rugi pada BEP
Soal 3:
Diketahui:
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Biaya tetap = $15.000
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Biaya per buku = $4
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Harga jual per buku = $29,99
a. Persamaan pendapatan:
R(x)=29,99x
b. Persamaan biaya total:
C(x)=15.000+4x
c. Laba jika menjual 2.000 buku:
R(2.000)=29,99(2.000)=59.980
C(2.000)=15.000+4(2.000)=23.000
P(2.000)=59.980−23.000=36.980
Laba = $36.980
d. Titik impas (BEP):
29,99x=15.000+4x⇒25,99x=15.000⇒x=577,15
BEP = sekitar 577 buku (dibulatkan jadi 578 buku)
e. BEP secara grafik:
Garis pendapatan dan garis biaya total berpotongan di sekitar 577 buku.
Metode aljabar lebih cepat, grafik membantu untuk presentasi visual.
Soal 4:
Diketahui:
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Biaya tetap per musim = USD 12.000.000
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Biaya per penumpang = USD 24
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Harga tiket rata-rata = USD 59
Misalkan pp = jumlah penumpang.
a. Persamaan pendapatan:
b. Persamaan biaya total:
C(p)=12.000.000+24p
(Opsional) Titik impas (BEP):
59p=12.000.000+24p⇒35p=12.000.000⇒p=342.857,14
BEP ≈ 342.858 penumpang per musim