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Chapter 20: 17SE (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.

S20-17 Calculating breakeven point for two products

For 2019, Wild Waters expects a sales mix of four individual tickets for every one family ticket.

Requirements

1. Compute the new 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$ 14
  2. The breakeven number of tickets are 1,965
  3. The company must sell 1,572 individual tickets and 393 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 4 tickets

x 1 ticket

5 tickets

Contribution margin

$60

$10

$70

Weighted-average contribution margin per unit ($55/5 tickets)

$14

02

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

Breakeventickets=FixedcostWeightedaveragecontributionmarginperunit=$27,500$14=1,965tickets

03

Calculation of breakeven sales of individual tickets and family tickets

Particulars

Amount

Breakeven sales of individual tickets

1,965ticketsx4/5=1,572tickets

Breakeven sales of family tickets

1,965ticketsx1/5=393tickets

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Most popular questions from this chapter

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?

The Circle Clock Company sells a particular clock for \(25. The variable costs are \)13 per clock and the breakeven point is 250 clocks. The company expects to sell 300 clocks this year. If the company actually sells 400 clocks, what effect would the sale of additional 100 clocks have on operating income? Explain your answer.

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?

National Investor Group is opening an office in Portland, Oregon. Fixed monthly costs are office rent (\(8,100), depreciation on office furniture (\)1,700), utilities (\(2,000), special telephone lines (\)1,500), a connection with an online brokerage service (\(2,500), and the salary of a financial planner (\)5,200). Variable costs include payments to the financial planner (9% of revenue), advertising (11% of revenue), supplies and postage (4% of revenue), and usage fees for the telephone lines and computerized brokerage service (6% of revenue).

Requirements

  1. Use the contribution margin ratio approach to compute National’s breakeven revenue in dollars. If the average trade leads to \(1,000 in revenue for National, how many trades must be made to break even?
  2. Use the equation approach to compute the dollar revenues needed to earn a monthly target profit of \)12,600.
  3. Graph National’s CVP relationships. Assume that an average trade leads to \(1,000 in revenue for National. Show the breakeven point, the sales revenue line, the fixed cost line, the total cost line, the operating loss area, the operating income area, and the sales in units (trades) and dollars when monthly operating income of \)12,600 is earned.
  4. Suppose that the average revenue National earns increases to $1,500 per trade. Compute the new breakeven point in trades. How does this affect the breakeven point?

Question: Gilbert’s Steel Parts produces parts for the automobile industry. Thecompany has monthly fixed costs of \(640,220 and a contribution margin of85% of revenues.

Requirements

1. Compute Gilbert’s monthly breakeven sales in dollars. Use the contributionmargin ratio approach.

2. Use contribution margin income statements to compute Gilbert’s monthlyoperating income or operating loss if revenues are \)500,000 and if they are$1,050,000.

3. Do the results in Requirement 2 make sense given the breakeven sales youcomputed in Requirement 1? Explain.
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