assignment 3- Danang Surya Budi- BD309- 2481499996

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.

1. Determine the equation relating the total cost to the number of books published.
2. Determine the equation relating the sales revenue to the number of books sold.
3. Determine the profit if 3000 books are published and sold.
4. Algebraically determine the BEP for this process.
5. 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.

1. Determine the BEP for this process both graphically and algebraically.
2. Determine : the total cost of the process at the BEP
3. Determine the total sales revenue of the process at the BEP
4. Calculate the profit at the BEP

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

1. Persamaan Total Cost

C(x)=Fixed Cost+(Variable Cost×x)

C(x)=225,000+55x

a. Persamaan Revenue

R(x)=Price×x

R(x)=100x

b. profit jika 3000 buku

Profit

P(x)=R(x)−C(x)

P(3000)=100(3000)−(225,000+55(3000))

P(3000)=300,000−(225,000+165,000)

P(3000)=300,000−390,000=−90,000

c.BEP (Aljabar)

BEP saat R(x)=C(x):

100x=225,000+55x

100x−55x=225,000

45x=225,000

x=5,000

d. BEP (Grafik)

• Garis biaya: $C(x)=225,000+55x$ (mulai di 225,000 saat x=0).

• Garis revenue: $R(x)=100x$ (melewati titik (0,0)).

• Titik potong keduanya ada di (5,000 ; 500,000).

👉 Grafik menunjukkan dengan jelas titik impas.

• Metode aljabar lebih cepat untuk hitung tepat.

• Metode grafik lebih mudah dipahami secara visual.

2. Buat persamaan biaya dan pendapatan

Total Cost (C):

C(x)=Fixed Cost+(Variable Cost×x)

C(x)=15,000+2x

Revenue (R):

R(x)=Price×x

R(x)=12x

a. Cari BEP (Aljabar)
BEP terjadi saat pendapatan = biaya:

12x=15,000+2x
12x−2x=15,000
10x=15,000
x=1,500

b. Hitung total cost di BEP

C(1,500)=15,000+2(1,500)=15,000+3,000=18,000

c. Hitung total revenue di BEP

R(1,500)=12(1,500)=18,000

d. Hitung profit di BEP

P=R−C=18,000−18,000=0