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.
Algebraically determine the BEP for this process.
D. 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.
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%
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Bukti:
3.
Diketahui
Biaya variabel per manual = $4
Biaya tetap = $15,000
Harga jual per manual = $29.99
1. Persamaan Revenue (pendapatan)
R(x)=29.99x
2. Persamaan Total Cost (biaya total)
C(x)=15,000+4x
3. Profit jika 2000 manual terjual
Profit
P(x)=R(x)−C(x)
R(2000)=29.99×2000=59,980.00
C(2000)=15,000+4×2000=15,000+8,000=23,000.00
P(2000)=59,980−23,000=36,980.00
Jadi profit = $36,980 ketika terjual 2000 manual.
4. BEP (aljabar)
Cari
x
x saat
R(x)=C(x)
29.99x=15,000+4x
29.99x−4x=15,000
25.99x=15,000
x=15,00025.99≈577.1450558
x=
25.99
15,000
≈577.1450558
BEP ≈ 577.145 unit. Karena unit harus bulat (tidak bisa jual 0.145 manual), untuk tepat impas atau lebih, perlu 578 manual (jika soal minta jumlah unit yang harus dijual minimal untuk tidak rugi). Jika menyatakan BEP sebagai angka real maka BEP ≈ 577.15 manual.
4. Diketahui
Biaya tetap per season = USD 12,000,000
Biaya variabel per penumpang = USD 24
Tarif rata-rata (price) = USD 59
1. Persamaan Revenue
R(x)=59x
R(x)=59x (x = jumlah penumpang)
2. Persamaan Total Cost
C(x)=12,000,000+24x
3. Profit jika
x=420,000
x=420,000 penumpang
R(420,000)=59×420,000=24,780,000
C(420,000)=12,000,000+24×420,000=12,000,000+10,080,000=22,080,000
Profit
=24,780,000−22,080,000=2,700,000
Jadi profit = USD 2,700,000 untuk 420,000 penumpang.
4. BEP (aljabar)
Cari
x
x saat
R(x)=C(x)
59x=12,000,000+24x
59x−24x=12,000,000
35x=12,000,000
x=12,000,00035=342,857.142857…
x=
35
12,000,000
=342,857.142857…
BEP ≈ 342,857.1429 penumpang. Karena penumpang adalah bilangan bulat, minimal 342,858 penumpang diperlukan agar perusahaan tidak rugi (yakni mencapai atau melebihi BEP).