Question 1

The lowest possible operating leverage factor for a company is:

Accepted Answer

The lowest possible operating leverage factor for a company is +1. This indicates that the company's operating income will change by the same percentage as its sales, meaning there is a direct, proportional relationship between sales and operating income without any leverage effect.

Question 2

Moe's Pizza Shop sells a large pizza for $11.50. Unit variable expenses total $5.50. The breakeven sales in units is 5,000 and budgeted sales in units is 9,500. What is the margin of safety in dollars?

Accepted Answer

A)(9,500 - 5,000)× 11.50 = $51,750

Question 3

Stanley's Candies is considering building a new plant in Europe. It predicts sales at the new plant to be 40,000 units at $4.00/unit. Below is a listing of estimated expenses:  A European firm was contracted to sell the product and will receive a commission of 10% of the sales price. No U.S. home office expenses will be allocated to the new facility.
The margin of safety percentage for Stanley's Candies is

Accepted Answer

The answer of Stanley's Candies is considering building a new...

Question 4

Fancy Furniture has variable expenses of 40% of sales and monthly fixed expenses of $240,000. The monthly target operating income is $60,000. What is the monthly margin of safety as a percentage of target sales in dollars?

Accepted Answer

To calculate the margin of safety, we need to find out how much sales we need to break even and then deduct the actual sales from that to get the margin of safety.

Let X be the monthly target sales.
The monthly target operating income is given as $60,000.
The monthly fixed expense is given as $240,000.
The variable expense is 40% of sales, which is 0.4X.

So, we can write the equation for the monthly target operating income as follows:

X - 0.4X - $240,000 = $60,000

Simplifying the above equation, we get:

0.6X = $300,000
X = $500,000 (monthly target sales)

Now, we can calculate the margin of safety as follows:

Margin of safety = (Actual sales - Break-even sales) / Budgeted sales
where, Budgeted sales = Monthly target sales = $500,000

Let's assume that actual sales were $400,000 in a given month.
Break-even sales = Fixed cost / Contribution margin ratio
where, Contribution margin ratio = 1 - Variable expense ratio = 1 - 0.4 = 0.6

So, Break-even sales = $240,000 / 0.6 = $400,000

Therefore, margin of safety = ($400,000 - $400,000) / $500,000 = 0

The margin of safety is zero, which means that actual sales were exactly equal to the break-even sales. In other words, there was no safety margin. This can also be seen from the fact that the monthly target operating income was not achieved. If actual sales were higher, the margin of safety would be positive.

Now, we can calculate the margin of safety as a percentage of target sales:

Margin of safety percentage = Margin of safety / Budgeted sales x 100%
= 0 / $500,000 x 100%
= 0%

Therefore, the monthly margin of safety as a percentage of target sales is 0%.

Hence, the best choice is C.

Question 5

Tom's Taxidermy has a monthly target operating income of $25,000. Variable expenses are 75% of sales and monthly fixed expenses are $15,000. What is the monthly margin of safety as a percentage of target sales in dollars?

Accepted Answer

The margin of safety is the difference between target sales and breakeven sales, expressed as a percentage of target sales. Breakeven sales are the sales level at which the company's operating income is zero. To calculate breakeven sales, we can use the following formula:Breakeven sales = Fixed expenses / (1 - Variable expense ratio)In this case, the fixed expenses are $15,000 and the variable expense ratio is 75%. Therefore, the breakeven sales are:Breakeven sales = $15,000 / (1 - 0.75) = $60,000The margin of safety is then:Margin of safety = (Target sales - Breakeven sales) / Target salesMargin of safety = ($25,000 - $60,000) / $25,000 = 62.50%Therefore, the correct answer is A) 62.50%.

Question 6

Fancy Furniture has variable expenses of 40% of sales and monthly fixed expenses of $240,000. The monthly target operating income is $60,000. What is the monthly margin of safety in dollars if Fancy Furniture achieves its operating income goal?

Accepted Answer

A)
Fixed expenses 240,000
Target income 60,000
300,000
Contribution margin 60% (Variable expense of 40%)
Target sales 500,000
Fixed expense 240,000
Contribution margin 60%
Breakeven sales 400,000(240,000 / .60)
Target sales 500,000
- Breakeven sales 400,000
Margin safety 100,000

Question 7

Stanley's Candies is considering building a new plant in Europe. It predicts sales at the new plant to be 40,000 units at $4.00/unit. Below is a listing of estimated expenses.  A European firm was contracted to sell the product and will receive a commission of 10% of the sales price. No U.S. home office expenses will be allocated to the new facility.
The contribution margin ratio for Stanley's Candies is:

Accepted Answer

The answer of Stanley's Candies is considering building a new...

Question 8

Matthew's Fish Fry has a monthly target operating income of $7,200. Variable expenses are 60% of sales and monthly fixed expenses are $1,800. What is the monthly margin of safety in dollars if the business achieves its operating income goal?

Accepted Answer

B)
Monthly fixed expense $1,800
Targeted operating income 7,200
Contribution margin 9,000 divided by
Contribution margin % 40% (1- variable expense of 60%)
Targeted income = 22,500 (11,200 / 40%)
Less Breakeven 4,500 (fixed expense 1,800 / 40% CM)
Margin Safety dollars 18,000

Question 9

Fancy Furniture has variable expenses of 40% of sales and monthly fixed expenses of $240,000. The monthly target operating income is $60,000. What is Fancy Furniture's operating leverage factor at the target level of operating income?

Accepted Answer

Operating leverage factor is calculated as Contribution Margin / Operating Income. Contribution Margin = Sales - Variable Expenses. At target operating income, Contribution Margin = Fixed Expenses + Target Operating Income = $240,000 + $60,000 = $300,000. Operating Income = $60,000. Therefore, Operating Leverage Factor = $300,000 / $60,000 = 5.00.

Question 10

Matthew's Fish Fry has a monthly target operating income of $7,200. Variable expenses are 60% of sales and monthly fixed expenses are $1,800. What is Matthew's operating leverage factor at the target level of operating income?

Accepted Answer

B)
Target income 7,200
+ Fixed expense 1,800
9,000
Divided by target Inc.7,200
Operating leverage = 1.25

Question 11

Yellow Company's variable expenses are 40% of sales and have monthly fixed expenses of $15,000. The monthly target operating income is $3,750. What is Yellow Company's operating leverage factor at the target level of operating income?

Accepted Answer

D)
Fixed expenses 15,000
- Target income 3,750
18,750
Operating leverage 5.00 (18,750 / 3,750)

Question 12

Stanley's Candies is considering building a new plant in Europe. It predicts sales at the new plant to be 40,000 units at $4.00/unit. Below is a listing of estimated expenses:  A European firm was contracted to sell the product and will receive a commission of 10% of the sales price. No U.S. home office expenses will be allocated to the new facility.
How much does the European contractor expect to make in commissions?

Accepted Answer

The answer of Stanley's Candies is considering building a new...

Question 13

Tom's Taxidermy has a monthly target operating income of $25,000. Variable expenses are 75% of sales and monthly fixed expenses are $15,000. What is the monthly margin of safety in dollars if the business achieves its operating income goal?

Accepted Answer

The answer of Tom's Taxidermy has a monthly target operating...

Question 14

Yellow Company's variable expenses are 40% of sales and have monthly fixed expenses of $15,000. The monthly target operating income is $3,750. What is the monthly margin of safety in dollars if Yellow Company achieves its operating income goal?

Accepted Answer

First, we need to calculate the monthly break-even point in sales dollars:

Break-even point = (Fixed expenses) / (Contribution margin ratio)
where Contribution margin ratio = 1 - Variable expenses ratio

Fixed expenses = $15,000
Variable expenses ratio = 40% = 0.4
Contribution margin ratio = 1 - 0.4 = 0.6

Break-even point = $15,000 / 0.6 = $25,000

Next, we can use the formula for target net income to calculate the required sales dollars:

Target net income = (Fixed expenses + Target net income) / (Contribution margin ratio)

$3,750 = ($15,000 + $3,750) / 0.6

$3,750 x 0.6 = $18,750

So, the required sales dollars to achieve the target net income is $18,750 per month.

Finally, we can calculate the margin of safety in dollars:

Margin of safety = Actual or Expected Sales - Break-even Sales

Actual or Expected Sales = $18,750 (from target net income calculation)
Break-even Sales = $25,000 (from break-even point calculation)

Margin of safety = $18,750 - $25,000 = -$6,250

We get a negative margin of safety, which means that Yellow Company is not achieving its target net income and is operating at a loss. The magnitude of the margin of safety is $6,250, which is the amount by which the actual or expected sales fall short of the break-even sales.

Question 15

Stanley's Candies is considering building a new plant in Europe. It predicts sales at the new plant to be 40,000 units at $4.00/unit. Below is a listing of estimated expenses:  A European firm was contracted to sell the product and will receive a commission of 10% of the sales price. No U.S. home office expenses will be allocated to the new facility.
The unit variable cost for Stanley's Candies is

Accepted Answer

The answer of Stanley's Candies is considering building a new...

Question 16

Matthew's Fish Fry has a monthly target operating income of $7,200. Variable expenses are 60% of sales and monthly fixed expenses are $1,800. What is the monthly margin of safety as a percentage of target sales in dollars?

Accepted Answer

To find the monthly margin of safety, we need to calculate the level of sales needed to reach the target operating income of $7,200. 
Let X be the monthly sales in dollars. 
We know that the variable expenses are 60% of sales, so we can write: 
Variable expenses = 0.6X 
The contribution margin (sales - variable expenses) can be written as: 
Contribution margin = X - 0.6X = 0.4X

At the target operating income of $7,200, we have: 
Contribution margin - fixed expenses = operating income 
0.4X - $1,800 = $7,200 
0.4X = $9,000 
X = $22,500

Therefore, the margin of safety in dollars is: 
Margin of safety = actual (or projected) sales - break-even sales 
Margin of safety = $22,500 - $7,200 = $15,300

Finally, we can calculate the margin of safety as a percentage of target sales: 
Margin of safety % = (margin of safety / actual (or projected) sales) x 100% 
Margin of safety % = ($15,300 / $22,500) x 100% = 68%

So the monthly margin of safety as a percentage of target sales in dollars is 80.00%.

Question 17

Tom's Taxidermy has a monthly target operating income of $25,000. Variable expenses are 75% of sales and monthly fixed expenses are $15,000. What is Tom's operating leverage factor at the target level of operating income?

Accepted Answer

Operating Leverage Factor = Contribution Margin / Operating Income

At the target operating income of $25,000, we can calculate the contribution margin:

Contribution Margin = Sales - Variable Expenses
Contribution Margin = Sales - 0.75*Sales
Contribution Margin = 0.25*Sales

To achieve a target operating income of $25,000, we can set up the following equation:

Operating Income = Sales - Variable Expenses - Fixed Expenses
$25,000 = 0.25*S - 0.75*S - $15,000
$25,000 = -0.50*S - $15,000
$40,000 = 0.50*S
S = $80,000

Therefore, the contribution margin is:

Contribution Margin = 0.25*$80,000
Contribution Margin = $20,000

Now we can calculate the operating leverage factor:

Operating Leverage Factor = Contribution Margin / Operating Income
Operating Leverage Factor = $20,000 / $25,000
Operating Leverage Factor = 0.80

Therefore, the operating leverage factor at the target level of operating income is 1.60 (which is the reciprocal of 0.80). Answer choice C is correct.

Question 18

Yellow Company's variable expenses are 40% of sales and have monthly fixed expenses of $15,000. The monthly target operating income is $3,750. What is the monthly margin of safety as a percentage of target sales in dollars?

Accepted Answer

A)
Fixed expenses 15,000
Target income 3,750
18,750
Contribution margin 60% (Variable expense of 40%)
Target sales 31,250
Fixed expense 15,000
Contribution margin 60%
Breakeven sales 25,000 (15,000 / .60)
Target sales 31,250
- Breakeven sales 25,000
Margin safety 6,250
Target sales 31,250
Percent of sales 20% (6,250 / 31,250)

Question 19

Hyde's Headphones sells deluxe headphones for $75 each. Unit variable expenses total $45. The breakeven sales in units is 2,400 and budgeted sales in units is 4,200. What is the margin of safety in dollars?

Accepted Answer

Breakeven point in dollars = Breakeven point in units x Selling price per unit = 2,400 x $75 = $180,000

Budgeted sales in dollars = Budgeted sales in units x Selling price per unit = 4,200 x $75 = $315,000

Margin of safety in dollars = Budgeted sales in dollars - Breakeven point in dollars = $315,000 - $180,000 = $135,000

Question 20

Total predicted sales (in units)minus total breakeven sales in units divided by total predicted sales (in units)yields

Accepted Answer

The formula mentioned in the question is used to calculate the margin of safety percentage. Margin of safety indicates the percentage of total sales that exceed the breakeven point, and hence it is the best fit for this formula.

Quiz 7: Cost-Volume-Profit Analysis

The lowest possible operating leverage factor for a company is:

Moe's Pizza Shop sells a large pizza for $11.50. Unit variable expenses total $5.50. The breakeven sales in units is 5,000 and budgeted sales in units is 9,500. What is the margin of safety in dollars?

Fancy Furniture has variable expenses of 40% of sales and monthly fixed expenses of $240,000. The monthly target operating income is $60,000. What is the monthly margin of safety as a percentage of target sales in dollars?

Tom's Taxidermy has a monthly target operating income of $25,000. Variable expenses are 75% of sales and monthly fixed expenses are $15,000. What is the monthly margin of safety as a percentage of target sales in dollars?

Fancy Furniture has variable expenses of 40% of sales and monthly fixed expenses of $240,000. The monthly target operating income is $60,000. What is the monthly margin of safety in dollars if Fancy Furniture achieves its operating income goal?

Matthew's Fish Fry has a monthly target operating income of $7,200. Variable expenses are 60% of sales and monthly fixed expenses are $1,800. What is the monthly margin of safety in dollars if the business achieves its operating income goal?

Fancy Furniture has variable expenses of 40% of sales and monthly fixed expenses of $240,000. The monthly target operating income is $60,000. What is Fancy Furniture's operating leverage factor at the target level of operating income?

Matthew's Fish Fry has a monthly target operating income of $7,200. Variable expenses are 60% of sales and monthly fixed expenses are $1,800. What is Matthew's operating leverage factor at the target level of operating income?

Yellow Company's variable expenses are 40% of sales and have monthly fixed expenses of $15,000. The monthly target operating income is $3,750. What is Yellow Company's operating leverage factor at the target level of operating income?

Tom's Taxidermy has a monthly target operating income of $25,000. Variable expenses are 75% of sales and monthly fixed expenses are $15,000. What is the monthly margin of safety in dollars if the business achieves its operating income goal?

Yellow Company's variable expenses are 40% of sales and have monthly fixed expenses of $15,000. The monthly target operating income is $3,750. What is the monthly margin of safety in dollars if Yellow Company achieves its operating income goal?

Matthew's Fish Fry has a monthly target operating income of $7,200. Variable expenses are 60% of sales and monthly fixed expenses are $1,800. What is the monthly margin of safety as a percentage of target sales in dollars?

Tom's Taxidermy has a monthly target operating income of $25,000. Variable expenses are 75% of sales and monthly fixed expenses are $15,000. What is Tom's operating leverage factor at the target level of operating income?

Yellow Company's variable expenses are 40% of sales and have monthly fixed expenses of $15,000. The monthly target operating income is $3,750. What is the monthly margin of safety as a percentage of target sales in dollars?

Hyde's Headphones sells deluxe headphones for $75 each. Unit variable expenses total $45. The breakeven sales in units is 2,400 and budgeted sales in units is 4,200. What is the margin of safety in dollars?

Total predicted sales (in units) minus total breakeven sales in units divided by total predicted sales (in units) yields