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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.

Short Answer

Expert verified

Answer

The number of break-even sales are 6,100.

Step by step solution

01

Calculation of Contribution margin

Contributionmargin=Salesprice--Variablecost=$70-$42=$28

02

 Step 2: Calculation of number of tickets funday park must sell to break even

Netsalesrevenue-Variablecosts-Fixedcosts=TargetprofitNumberofunitssold×$28-$170,800=$0Numberofunitssold=6,100Units

03

Substituting the number of units into operating income equation

Totalcontributionmargin-Fixedcosts=Operatingincome6,100Units×$28-$170,800=Operatingincome$170,800-$170,800=Operatingincome$0=Operatingincome

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