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Chapter 20: 13SE (page 1087)

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.

Refer to the original information (ignoring the changes considered in Short Exercise S20-12). Suppose Funday Park increases fixed costs from \)170,800 per month to $231,000 per month. Compute the new breakeven point in tickets and in sales dollars.

Short Answer

Expert verified

The breakeven sales in dollars is $577,500.

Step by step solution

01

Calculation of Contribution margin ratio

Contributionmargin=Salesprice–Variablecost=$70-$42=$28Contributionmarginratio=ContributionmarginperunitSalesrevenue=$28$70=40%

02

Calculation of breakeven point in sales dollars

Salesrequiredindollars=Fixedcost+TargetprofitContributionmarginratio=$231,000+$040%=$577,500

03

Calculation of breakeven point in sales units

Salesrequiredinunits=Fixedcost+TargetprofitContributionmarginratio=$231,000+$0$28=8,250

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Most popular questions from this chapter

Question: Of the three approaches to calculate sales required to achieve the breakeven point, which one(s) calculate the required sales in units and which one(s) calculate the required sales in dollars?

Using the high-low method

Mark owns a machine shop. In reviewing the shop’s utility bills for the past 12 months, he found that the highest bill of \(2,600 occurred in August when the machines worked 1,200 machine hours. The lowest utility bill of \)2,300 occurred in December when the machines worked 600 machine hours.

Requirements

1. Use the high-low method to calculate the variable cost per machine hour and the total fixed utility cost.

2. Show the equation for determining the total utility cost for the machine shop.

3. If Mark anticipates using 800 machine hours in January, predict the shop’s total utility bill using the equation from Requirement 2.

Determining mixed costs—the high-low method

The manager of Trusty Car Inspection reviewed the monthly operating costs for the past year. The costs ranged from \(4,300 for 1,300 inspections to \)3,900 for 900 inspections.

Requirements

1. Use the high-low method to calculate the variable cost per inspection.

2. Calculate the total fixed costs.

3. Write the equation and calculate the operating costs for 1,000 inspections.

4. Draw a graph illustrating the total cost under this plan. Label the axes, and show the costs at 900, 1,000, and 1,300 inspections.

What is a variable cost? Give an example.

What is contribution margin?
See all solutions

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