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The budgets of four companies yield the following information:

Company

Beach Lake Mountain Valley

Net Sales Revenue \( 1,615,000 \)(d) \( 1,050,000 \)(j)

Variable Costs (a) 60,000 525,000 100,800

Fixed Costs (b) 232,000 260,000 (k)

Operating Income (Loss) 285,600 (e) (g) 31,500

Units Sold 170,000 10,000 (h) (l)

Contribution Margin per Unit \( 3.80 \) (f) \( 75.00 \) 9.00

Contribution Margin Ratio (c) 80% (i) 30%

Requirements

1. Fill in the blanks for each missing value. (Round the contribution margin per unit to the nearest cent.)

2. Which company has the lowest breakeven point in sales dollars?

3. What causes the low breakeven point?

Short Answer

Expert verified

(1)(a) $969,000

(b) 360,000

(c) 40%

(d) $300,000

(e) $8,000

(f) $24

(g) $265,000

(h) 7,000

(i) 50%

(j) $144,000

(k) $11,700

(l) 4,800

(2) The lowest breakeven point in sales dollars equals $39,000.

(3) Lower contribution margin ratio and lower fixed costs

Step by step solution

01

Calculation of (a), (b), (c)

Net sales revenue

$1,615,000

Variable costs ($1,615,000 / 170,000)-$3.80 ) x 170,000

(a)$969,000

Fixed costs ($1,615,000-$969,000 -$285,600)

(b)$360,400

Operating income (Loss)

$285,600

Units sold

170,000

Contribution margin per unit

$3.80

Contribution margin ratio (($3.80 x 170,000) / $1,615,000)

(c)40%

02

Calculation of (d), (e), (f)

Net sales revenue ($60,000 / (1-80%)

(d) $300,000

Variable costs

$60,000

Fixed costs

$232,000

Operating income (Loss) ($300,000-$60,000-$232,000)

(e) $8,000

Units sold

10,000

Contribution margin per unit ($300,000-$60,000)/10,000

(f)$24

Contribution margin ratio

80%

03

Calculation of (g), (h), (i)

Net sales revenue

$1,050,000

Variable costs

$525,000

Fixed costs

$260,000

Operating income (Loss) ($1,050,000-$525,000-$260,000)

(g) $265,000

Units sold ($1,050,000-$525,000) / $75

(h) 7,000

Contribution margin per unit

$75

Contribution margin ratio ($1,050,000-$525,000)/$1,050,000)

(i)50%

04

Calculation of (j), (k), (l) 

Net sales revenue ($100,800 / (1-30%))

(j)$144,000

Variable costs

$100,800

Fixed costs ($144,000-$100,800-$31,500)

(k)$11,700

Operating income (Loss)

$31,500

Units sold ($144,000 - $100,800)/$9)

(l)4,800

Contribution margin per unit

$9

Contribution margin ratio ($144,000-$100,800)/$144,000)

30%

Step 4: Calculation of breakeven sales in dollars

Breakevensales(Beach)=FixedcostsContributionmarginratio=$360,40040%=$901,000

Breakevensales(Lake)=FixedcostsContributionmarginratio=$232,00080%=$290,000

Breakevensales(Mountain)=FixedcostsContributionmarginratio=$260,00050%=$520,000

Breakevensales(Valley)=FixedcostsContributionmarginratio=$11,70030%=$39,000

Valley has the lowest breakeven point that is $39,000.

Step 4: Reason for low breakeven point

Low contribution margin causes the low breakeven point. Valley has the lowest contribution margin ratio that is why it has the lowest breakeven point.

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Most popular questions from this chapter

Before you begin this assignment, review the Tying It All Together feature in the chapter.

Best Buy Co., Inc. is a leading provider of technology products. Customers can shop at more than 1,700 stores or online. The company is also known for its Geek Squad for technology services. Suppose Best Buy is considering a particular HDTV for a major sales item for Black Friday, the day after Thanksgiving, known as one of the busiest shopping days of the year. Assume the HDTV has a regular sales price of \(900, a cost of \)500, and a Black Friday proposed discounted sales price of \(650. Best Buy’s 2015 Annual Report states that failure to manage costs could have a material adverse effect on its profitability and that certain elements in its cost structure are largely fixed in nature. Best Buy, like most companies, wishes to maintain price competitiveness while achieving acceptable levels of profitability. (Item 1A. Risk Factors.)

Requirements

1. Calculate the gross profit of the HDTV at the regular sales price and at the discounted sales price.

2. Assume that during the November/December holiday season last year, Best Buy sold an average of 150 of this particular HDTV per store. If the HDTVs are marked down to \)650, how many would each store have to sell this year to make the same total gross profit as last year?

3. Relative to Sales Revenue, what type of costs would Best Buy have that are fixed? What type of costs would be variable?

4. Because Best Buy stated that its cost structure is largely fixed in nature, what might be the impact on operating income if sales decreased? Does having a cost structure that is largely fixed in nature increase the financial risk to a company? Why or why not?

5. In the Tying It All Together feature in the chapter, we looked at the cost of advertising. Is advertising a fixed or variable cost? If the company has a small margin of safety, how would increasing advertising costs affect Best Buy’s operating income? What would be the effect of decreasing advertising costs?

Using the high-low method

Mark owns a machine shop. In reviewing the shop’s utility bills for the past 12 months, he found that the highest bill of \(2,600 occurred in August when the machines worked 1,200 machine hours. The lowest utility bill of \)2,300 occurred in December when the machines worked 600 machine hours.

Requirements

1. Use the high-low method to calculate the variable cost per machine hour and the total fixed utility cost.

2. Show the equation for determining the total utility cost for the machine shop.

3. If Mark anticipates using 800 machine hours in January, predict the shop’s total utility bill using the equation from Requirement 2.

Question: Computing contribution margin in total, per unit, and as a ratio

Complete the table below for contribution margin per unit, total contribution margin, and contribution margin ratio:

A B C Number of units 1,720 units 14,920 units 4,620 units

Sales price per unit \( 1,800 \) 4,500 $ 5,550

Variable costs per unit 720 3,600 1,665

Calculate:                  

Contribution margin per unit                      

Total contribution margin                        

Contribution margin ratio

Identifying variable, fixed, and mixed costs

Philadelphia Acoustics builds innovative speakers for music and home theater systems. Identify each cost as variable (V), fixed (F), or mixed (M), relative to number of speakers produced and sold.

1. Units of production depreciation on routers used to cut wood enclosures.

2. Wood for speaker enclosures.

3. Patents on crossover relays.

4. Total compensation to salesperson who receives a salary plus a commission based on meeting sales goals.

5. Crossover relays.

6. Straight-line depreciation on manufacturing plant.

7. Grill cloth.

8. Insurance on the corporate office.

9. Glue.

10. Quality inspector’s salary.

The budgets of four companies yield the following information:

Company

Blue Red Green Yellow

Net Sales Revenue \( 1,900,000 \) (d) \( 1,500,000 \) (j) Variable Costs (a) 47,250 1,050,000 256,200 Fixed Costs (b) 168,000 159,000 (k) Operating Income (Loss) 298,500 (e) (g) 97,800

Units Sold 190,000 9,000 (h) (l) Contribution Margin per Unit \( 3.00 \) (f) \( 75.00 \) 18.00

Contribution Margin Ratio (c) 80% (i) 30%

Requirements

1. Fill in the blanks for each missing value. (Round the contribution margin per unit to the nearest cent.)

2. Which company has the lowest breakeven point in sales dollars?

3. What causes the low breakeven point?

See all solutions

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