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Chapter 9, Problem 44P
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Cost Accounting (9th Edition)
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Nature’s Own makes three types of wood flooring: Oak, Hickory, and Cherry. The company’s tax
rate is 40 percent. The following costs are expected for 2014:
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a. Calculate the break-even point for 2014. (Round to the next highest whole unit.)
b. How many square yards of each product are expected to be sold at the break-even point?
(Round CM% to the nearest tenth of a percent.)
c. If the company wants to earn pre-tax profit of $800,000, how many square yards of each type
of flooring would it need to sell? How much total revenue would be required? (Round to the next
highest whole unit.)
d. If the company wants to earn an after-tax profit of $680,000, determine the revenue needed
using the contribution margin percentage approach. (Round CM% to the nearest tenth of a
percent and amounts to the nearest whole dollar.)
e. If the company achieves the revenue determined in (d), what is the margin of safety (1) in
dollars and (2) as a percentage? (Round to the nearest tenth of a percent.)
Step-by-step solution
Step 1 of 23
It is given that NO Company makes three types of products O, H and C. The company’s tax rate
is 40 percent. The selling price of the pre-square yard for O is $32.80, H is $16.00, and C is
$50.00.
a)
Now, calculate total variable costs.
Particulars
O ($)
Direct material
10.40 6.50
17.60
Direct labor
2.60
0.80
12.80
Variable overhead
2
0.30
3.50
Variable selling
1
0.50
4.00
0.20
0.60
Variable administrative 0.40
Total variable cost
H ($) C ($)
17.40 8.30
38.50
Comments (2)
Step 2 of 23
Now, calculate the contribution margin of the three products.
Comment
Step 3 of 23
Particulars
O ($)
H ($) C ($)
Sales
32.80 16
50
Total variable cost
17.40 8.30
38.50
Contribution margin
15.40 7.70
11.50
Comments (1)
Step 4 of 23
Now, calculate sales ratio of the company.
Comment
Step 5 of 23
Product Sales in yards % of sales Sales per unit
O
9,000
10.34
3
H
72,000
82.76
24
C
6,000
6.90
2
Total
87,000
100.00
29
Note:
The sales per unit are calculated by dividing sales in yards of each product by $3,000.
Comments (3)
Step 6 of 23
Now, calculate contribution margin of the company.
……
(1)
Hence, the contribution margin of the company is
.
Comment
Step 7 of 23
Now, calculate total fixed costs of the company.
…… (2)
Comment
Step 8 of 23
Hence, the total fixed costs of the company are
.
Comment
Step 9 of 23
Now, calculate breakeven point in units.
…… (3)
Hence, the breakeven point of the company is
.
Comment
Step 10 of 23
b)
It is calculated that sales per unit of the products O is $3, H is $24, and C is $2 and selling prices
are $32.80, $16.00, and $50.00 respectively.
Now, calculate the sales margin of the company.
…… (4)
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Chapter 9, Problem 44P
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Hence, the sales margin of the company is
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Step 11 of 23
Now, calculate contribution margin ratio of the company.
…… (5)
Hence, the contribution margin ratio of the company is
.
Comment
Step 12 of 23
Now, calculate breakeven point of the company in dollars.
……. (6)
Hence, the breakeven point of the company is
.
Comment
Step 13 of 23
c)
It is calculated that total fixed cost of the company is $1,200,000 (refer to Equation (2)),
contribution margin per unit is $254(refer to Equation (1)), and pretax profit of the company is
$800,000.
Now, calculate the number of units required.
…… (7)
Hence, number of units required to earn pretax profit is
.
Comment
Step 14 of 23
Now, calculate the total revenue of the company.
Comment
Step 15 of 23
……
(8)
Hence, the revenue of the company is
.
Comment
Step 16 of 23
d)
It is calculated sales margin per bag is $582.40 (refer to Equation (4)), contribution margin is
$254 (refer to Equation (1)), and after tax profit is $680,000.
Now, calculate contribution margin ratio.
…… (9)
Hence, contribution margin ratio is
.
Comment
Step 17 of 23
Now, calculate the pretax profit.
Comment
Step 18 of 23
…… (10)
Hence, the pretax profit of the company is
.
Comment
Step 19 of 23
Now, calculate the revenue of the company.
…… (11)
Hence, the revenue of the company is
.
Comment
Step 20 of 23
e)
It is calculated that contribution margin is 0.436 (refer to Equation (9)), fixed cost is $1,200,000
(refer to Equation (2)), and revenue is $5,351,681 (refer to Equation (11)).
Now, calculate breakeven point in dollars.
…… (12)
Hence, the breakeven point of the company is
.
Comment
Step 21 of 23
Now, calculate margin of safety in dollars.
…… (13)
Hence, margin of safety in dollars is
.
Comment
Step 22 of 23
Now, calculate margin of safety in percentage.
Comment
Step 23 of 23
…… (14)
Hence, the margin of safety in percentage of the company is
.
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