Solutions for Problems in Chapter 3

Chapter 3: Cost-Volume-Profit Analysis 3-5

Chapter 3
Cost-Volume-Profit Analysis

MULTIPLE CHOICE QUESTIONS

Ans: D

3.17. 

Ans: B

3.18. 

Ans: C

3.19. 

Ans: A

3.20. 

Ans: B

EXERCISES

3.21

A. Q = 1,200 gift baskets

B. Q = 74,667 child visits

3.23

A. V = $31

B. F = $4,664

C. Q = 360 units

3.24

A. Profit (loss) before taxes is = $(100,000)

B. S = $5.125

3.26

A. Contribution margin per unit = $80

B. Contribution margin ratio = 73%

C. Breakeven point in units = 250 units

D. S = $47,120

3.27

A. Contribution margin per unit = $36\

B. Contribution margin ratio = 30%

C. Break-even = 2,384 units

D. $336,000 sales

E. increase by 1,575 units

3.28

A.  TC = $38,363 + $0.825*appointments

B. Q = 1,587 appointments

3.29

A. Q = 80,000 units

B. TR = $10,000,000

C. TS = $12,000,000

D. Q = 240,000 units

Dollar sales = $12,000,000

3.30

A. Q = 15,000 units

B. Q = 29,000 units

C. Q = 19,125 units

D. Q = 31,625 units

E. S = $28.33

3.31

A. TS = $1,208,333.33

3.32

A. Q = 275,000 boxes

B. S = $4.50

C. Dollar sales = $1,920,000

3.33

A. Breakeven for option 1 = 400 sets

Breakeven for option 2 = 317 sets

Breakeven for option 3 = 0 sets

B. option 1

C. option 3

D. TS = $18,000

3.34

A. ROI = 8.4%

B. TS = 2,410,500€

3.35

A. Q = 136,667 units.

B. 30,000 units, $300,000

C. 3.33

3.36

A. 1,750 kgs., $8,400

B. 2,922 kgs., $14,026

C. $1,200, 12.5%

D. 8.0

3.37

A. Contribution margin $18 per swimsuit

Breakeven in units 42,500 swimsuits

B. 7,500 swimsuits

D. Contribution margin ratio = 0.45

Breakeven in revenues = $1,700,000

E. $300,000

F. $225,000

G. 56,786 swimsuits

3.38

A. $46,760

B. 1,274 dog-days

C. 11,640 dog-days

D. 38.6%

PROBLEMS

3.39

A. TC = $70,000 + $60*Q

B. Q = 1,750 cases

C. $40,000

3.40

B. 5.6 hours per day

C. $53.67

3.41

A. two

B. Regular: $9,804

Premium: $59,808

C. $20,232

D. Breakeven for Regular $ 21,032

Breakeven for Premium $ 86,027

Total corporate sales at breakeven $ 107,059

E. $12,173

3.43

A. Q = 932 units to break even

C. $16,200

E. Q= 905 units

F. Q = 1,100 units

3.44

A. $51,429

B. $791,215

C. 49,561 units sold

3.45

A. Sales = $750,000

Total VC - $525,000

VS&A = $65,000

COGS = $581,250

FMOH = $121,250

FC = $202,500

FS&A = $81,250

B.  $835,000; 3,340 units

3.46

A Q = 62,500 kgs

C. SP = $8.60

3.47

A.

2. Contribution margin = $188 per clock

Contribution margin ratio = 0.8356

3. TC = $7,800 + $37*Q

Breakeven in number of clocks = 42 clocks

Breakeven in revenues = $9,335

4. 63 clocks

3.50

A. TC = €6,771 + 28% of total revenue.

B. $ 23,293

C. 2.41

3.51

B. $383,750.

C. $288,500.

D. $375,000.

E. 668,919 units, $1,705,135.

F. $485,363.

G.

Target Income Total Units

$100,000 239,050

$150,000 275,827

$2,000,000 x 10% = $200,000 312,604

3.52

B. Breakeven point is revenue of $900,442.

Revenue needed for an after-tax target income of $100,000 is $1,118,732.

C.

Product Emphasized After-Tax Profit

Pets $ 4,875

Food 26,250

Toys 11,250

Other 15,000

MINI-CASES

3.53

A. Wildcat Lair’s breakeven point is $67,143

The university’s breakeven point is $78,333

B. 24.5

3.54

A. TC = $19,774 + $6.02*children attending.

S = $27.07 per child

3.55

A. TR = 1,000*P – 2*P2

B. TC = $130,000-$200*P

C. P1 = $458.12 (rounded up)

P2 = $141.89 (rounded up)

D. Break even occurs at the following two points:

83.76 units

716.22 units

E. P = $300 per unit; 400 regulators