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: Use the following information to complete Short Exercises S20-10 through S20-15.

Funday Park competes with Cool World by providing a variety of rides. Funday Park sells tickets at \(70 per person as a one-day entrance fee. Variable costs are \)42 per person, and fixed costs are $170,800 per month.

S20-10 Computing contribution margin per unit, breakeven point in sales units

Compute the contribution margin per unit and the number of tickets Funday Park must sell to break even. Perform a numerical proof to show that your answer is correct.

Question: Determining total variable cost

For each variable cost per unit listed below, determine the total variable cost when units produced and sold are 25, 50, and 100 units.

Direct materials $ 40

Direct labor 80

Variable overhead 9

Sales commission 12

Calculating contribution margin ratio, preparing contribution margin income statements For its top managers, Worldwide Travel formats its income statement as follows:

Worldwide’s relevant range is between sales of \(253,000 and \)368,000. Requirements

1. Calculate the contribution margin ratio.

2. Prepare two contribution margin income statements: one at the \(253,000 sales level and one at the \)368,000 sales level. (Hint: The proportion of each sales dollar that goes toward variable costs is constant within the relevant range.)

What is the margin of safety? What are the three ways it can be expressed?

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.

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