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What is the relevant range?

Short Answer

Expert verified

The range where the variable cost per unit and fixed cost remains constant is known as the relevant range.

Step by step solution

01

Meaning of relevant range

The relevant range refers to the range in which adding new unit will does not bring change in variable cost and fixed cost per unit.

02

Example of the relevant range

Suppose a company wants to produce 100 pens. The costs related to production are as follows:

Number of pens produced

Fixed cost

Variable cost

0-50

$1,000

$0.25 per unit

51-100

$1,500

$0.45 per unit

101-150

$2,000

$0.60

Therefore, the relevant cost in the given example is 51-100 pens.

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Most popular questions from this chapter

Question: Why is the calculation to determine the target profit considered a variation of the breakeven calculation?

No Slip Co. produces sports socks. The company has fixed costs of\(91,080 and variable costs of \)0.81 per package. Each package sells for $1.80.

Requirements

1. Compute the contribution margin per package and the contribution marginratio. (Round your answers to two decimal places.)

2. Find the breakeven point in units and in dollars using the contributionmargin approach.

Calculating breakeven point for two products, margin of safety, andoperating leverage

The contribution margin income statement of Delectable Donuts for May 2018follows:

DELECTABLE DONUTS

Contribution Margin Income Statement

Month Ended May 31, 2018

Net Sales Revenue

\(125,000

Variable cost

Cost of goods sold

\)32,100

Selling cost

17,400

Administrative cost

500

\(50,000

Contribution Margin

\)75,000

Fixed cost

Selling cost

\(37,800

Administrative cost

12,600

\)50,400

Operating income

\(24,600

Delectable sells five dozen plain donuts for every dozen custard-filled donuts. A dozenplain donuts sells for \)4.00, with a variable cost of \(1.60 per dozen. A dozen custardfilled donuts sells for \)8.00, with a variable cost of $3.20 per dozen.

Requirements

1. Calculate the weighted-average contribution margin.

2. Determine Delectableโ€™s monthly breakeven point in dozens of plain donuts and custard-filled donuts. Prove your answer by preparing a summary contribution nmargin income statement at the breakeven level of sales. Show only two categories of costs: variable and fixed.

3. Compute Delectableโ€™s margin of safety in dollars for May 2018.

4. Compute the degree of operating leverage for Delectable Donuts. Estimate thenew operating income if total sales increase by 20%. (Round the degree of operating leverage to four decimal places and the final answer to the nearest dollar.Assume the sales mix remains unchanged.)

5. Prove your answer to Requirement 4 by preparing a contribution marginincome statement with a 20% increase in total sales. (The sales mix remainsunchanged.)

Question: Determining total mixed cost

John Street Barber Shop pays \(25 per month for water for the first 8,000 gallons and \)3.50 per thousand gallons above 8,000 gallons. Calculate the total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons.

Scottyโ€™s Scooters plans to sell a standard scooter for \(55 and a chrome scooter for \)70. Scottyโ€™s purchases the standard scooter for \(30 and the chrome scooter for \)40. Scottyโ€™s expects to sell one standard scooter for every three chrome scooters. Scottyโ€™s monthly fixed costs are \(23,000.

Requirements

1. How many of each type of scooter must Scottyโ€™s Scooters sell each month to break even?

2. How many of each type of scooter must Scottyโ€™s Scooters sell each month to earn \)25,300?

3. Suppose Scottyโ€™s expectation to sell one standard scooter for every three chrome scooters was incorrect and for every four scooters sold two are standard scooters and two are chrome scooters. Will the breakeven point of total scooters increase or decrease? Why? (Calculation not required.)

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