Instruksi:
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.
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: Sudah mengerjakan dengan semaksimal mungkin.
Bukti:
1. Economics Textbook
Given:
Fixed cost = $225,000
Variable cost = $55/book
Selling price = $100/book
a. Total cost equation:
C = 225,000 + 55x
b. Sales revenue equation:
R = 100x
c. Profit when x = 3000:
P = R – C = (100×3000) – (225,000 + 55×3000)
P = 300,000 – 390,000 = –$90,000 (loss)
d. Break-even point (BEP):
R = C → 100x = 225,000 + 55x
45x = 225,000 → x = 5,000 books
e. Graphically:
Plot C and R vs x; lines intersect at 5,000.
2. Staplers
Given:
Fixed cost = $15,000
Variable cost = $2/unit
Selling price = $12/unit
a. BEP algebraically:
12x = 15,000 + 2x → 10x = 15,000 → x = 1,500 staplers
(Graph: lines meet at 1,500)
b. Total cost at BEP:
C = 15,000 + 2(1,500) = $18,000
c. Total sales revenue at BEP:
R = 12(1,500) = $18,000
d. Profit at BEP:
P = R – C = 0
3. Solution Manual
Given:
Fixed cost = $15,000
Variable cost = $4/manual
Selling price = $29.99/manual
a. Revenue equation:
R = 29.99x
b. Total cost equation:
C = 15,000 + 4x
c. Profit for 2000 manuals:
P = (29.99×2000) – (15,000 + 4×2000)
P = 59,980 – 23,000 = $36,980
d. BEP:
29.99x = 15,000 + 4x → 25.99x = 15,000 → x ≈ 577 manuals
e. Graphically:
Lines meet near x = 577.
4. AirAsia Route
Given:
Fixed cost = $12,000,000
Variable cost = $24/passenger
Fare = $59/passenger
a. Revenue equation:
R = 59x
b. Cost equation:
C = 12,000,000 + 24x
c. Profit for 420,000 passengers:
P = (59×420,000) – (12,000,000 + 24×420,000)
P = 24,780,000 – 22,080,000 = $2,700,000
d. BEP:
59x = 12,000,000 + 24x → 35x = 12,000,000 → x = 342,857 passengers
e. Graphically:
Lines intersect near 342,857.