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Chapter 20: 16SE (page 1087)

Use the following information to complete Short Exercises S20-16 and S20-17.

Wild Waters Swim Park sells individual and family tickets. With a ticket, each person receives a meal, three beverages, and unlimited use of the swimming pools. Wild Waters has the following ticket prices and variable costs for 2018:

Individual Family Sales price per ticket \( 50 \) 150 Variable cost per ticket 35 140

Wild Waters expects to sell one individual ticket for every four family tickets. Wild Waters’s total fixed costs are $27,500.

S20-16 Calculating breakeven point for two products

Using the Wild Waters Swim Park information presented, do the following tasks.

Requirements

1. Compute the weighted-average contribution margin per ticket.

2. Calculate the total number of tickets Wild Waters must sell to break even.

3. Calculate the number of individual tickets and the number of family tickets the company must sell to break even.

Short Answer

Expert verified
  1. The weighted average contribution margin per unit is
  2. The breakeven number of tickets are 2,500

3. The corporate must sell 500 individual tickets and 2,000 family tickets

Step by step solution

01

Computation of the weighted-average contribution margin per ticket

Individual

Family

Total

Sales price per unit

$50

$150

Variable cost per unit

+

$35

$140

Contribution margin per unit

$15

$10

Sales mix in units

X 1 ticket

x 4 Tickets

5 tickets

Contribution margin

$15

$40

$ 55

Weighted-average contribution margin per unit ( tickets)

$11


02

Calculation of total number of tickets Wild Waters must sell to interrupt even

Breakeventickets=FixedcostWeightedaveragecontributionmarginperunit=$27,500$11=2,500tickets

03

Calculation of breakeven sales of individual tickets and family tickets

Particulars

Amount

Breakeven sales of individual tickets

2,500ticketsx1/5=500tickets

Breakeven sales of family tickets

2,500ticketsx4/5=2,000tickets

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Most popular questions from this chapter

England Productions performs London shows. The average show sells 1,300 tickets at\(60 per ticket. There are 175 shows per year. No additional shows can be held as thetheater is also used by other production companies. The average show has a cast of65, each earning a net average of \)340 per show. The cast is paid after each show. Theother variable cost is a program-printing cost of \(8 per guest. Annual fixed costs total\)728,000.

Requirements

1. Compute revenue and variable costs for each show.

2. Use the equation approach to compute the number of shows England Productionsmust perform each year to break even.

3. Use the contribution margin ratio approach to compute the number of showsneeded each year to earn a profit of $5,687,500. Is this profit goal realistic? Giveyour reasoning.

4. Prepare England Productions’s contribution margin income statement for175 shows performed in 2018. Report only two categories of costs: variableand fixed.

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.

Determine how each change effects the elements of the cost-volume-profit graph by placing an X in the appropriate column(s).


EFFECT

Sales Line
Fixed Cost Line
Total cost line
Breakeven point

Change

Slope Increases

Slope decreases

Shifts up

Shifts Down

Slope Increases

Slope Decreases

Increases

Decreases

Sales price per unit Increases

Sales price per unit Decreases

Variable cost per unit Increases

Variable cost per unit decreases

Total fixed cost increases

Total fixed cost decreases

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.

Before you begin this assignment, review the Tying It All Together feature in the chapter.

Best Buy Co., Inc. is a leading provider of technology products. Customers can shop at more than 1,700 stores or online. The company is also known for its Geek Squad for technology services. Suppose Best Buy is considering a particular HDTV for a major sales item for Black Friday, the day after Thanksgiving, known as one of the busiest shopping days of the year. Assume the HDTV has a regular sales price of \(900, a cost of \)500, and a Black Friday proposed discounted sales price of \(650. Best Buy’s 2015 Annual Report states that failure to manage costs could have a material adverse effect on its profitability and that certain elements in its cost structure are largely fixed in nature. Best Buy, like most companies, wishes to maintain price competitiveness while achieving acceptable levels of profitability. (Item 1A. Risk Factors.)

Requirements

1. Calculate the gross profit of the HDTV at the regular sales price and at the discounted sales price.

2. Assume that during the November/December holiday season last year, Best Buy sold an average of 150 of this particular HDTV per store. If the HDTVs are marked down to \)650, how many would each store have to sell this year to make the same total gross profit as last year?

3. Relative to Sales Revenue, what type of costs would Best Buy have that are fixed? What type of costs would be variable?

4. Because Best Buy stated that its cost structure is largely fixed in nature, what might be the impact on operating income if sales decreased? Does having a cost structure that is largely fixed in nature increase the financial risk to a company? Why or why not?

5. In the Tying It All Together feature in the chapter, we looked at the cost of advertising. Is advertising a fixed or variable cost? If the company has a small margin of safety, how would increasing advertising costs affect Best Buy’s operating income? What would be the effect of decreasing advertising costs?
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