Calculating breakeven point in units, contribution margin ratio given

Ocean Company sells a product with a contribution margin ratio of 80%. Fixed costs are \(2,800 per month. What amount of sales (in dollars) must Ocean Company have to break even? If each unit sells for \)30, how many units must be sold to break even?

Short Answer

Expert verified

The amount of sales is $3,500 and units are 117.

Step by step solution

01

Calculation of amount of sales (in dollars)

Requiredsalesindolllers=Fixedcosts+Targetprofit/Contributionmarginratio=$2,800+$080%=$3,500

02

If each unit sell for $30, how many units must be sold to breakeven

Rquiredsaleinunits=Fixedcosts+Targetprofitcontributionmarginperunit=($2,800+$0)$30×80%=$2,800$24=117units

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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.

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Preparing a contribution margin income statement

Gabelman Company sells a product for \(95 per unit. Variable costs are \)40 per unit, and fixed costs are $2,200 per month. The company expects to sell 570 units in September. Prepare an income statement for September using the contribution margin format

Following is the income statement for Marrow Mufflers for the month of June 2018:

MARROW MUFFLERS

Contribution Margin Income Statement

Month Ended June 30, 2018

Net Sales Revenue (140 units _ \(250) \) 35,000

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Contribution Margin 28,000

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Requirements

1. Calculate the degree of operating leverage. (Round to four decimal places.)

2. Use the degree of operating leverage calculated in Requirement 1 to estimate the change in operating income if total sales increase by 40% (assuming no change in sales price per unit). (Round interim calculations to four decimal places and final answer to the nearest dollar.)

3. Verify your answer in Requirement 2 by preparing a contribution margin income statement with the total sales increase of 40%.

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.

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