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Chapter 20: Q4TI (page 1105)

A furniture manufacturer specializes in wood tables. The tables sell for \(100 per unit and incur \)40 per unit in variable costs. The company has \(6,000 in fixed costs per month. Calculate the breakeven point in units under each independent scenario.

14. Variable costs increase by \)10 per unit.

15. Fixed costs decrease by $600.

16. Sales price increases by 10%.

Short Answer

Expert verified

14.120 Units

15. 90 Units

16. 86 Units

Step by step solution

01

Calculation of breakeven point in units if variable costs increase by $10 per unit

Required sales in units = Fixed costs + Target profit/ Contribution margin per unit

=$6,000+$0/($100-$50)

=120 units

02

Calculation of breakeven point in units if fixed costs decrease by $600

Required sales in units = New Fixed costs + Target profit/ Contribution margin per unit

=($6,000-$600)+$0/($100-$40)

=$5,400/$60

=90 units

03

Calculation of breakeven point in units if sales price increase by 10%

New Sales Price = Existing Price (1+Increase in sales Price)

=$100(1+0.1)

=$110

Required sales in units = Fixed costs / Contribution margin per unit

=$6,000/($110-$40)

= 86 Units

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Most popular questions from this chapter

The budgets of four companies yield the following information:

Company

Beach Lake Mountain Valley

Net Sales Revenue \( 1,615,000 \)(d) \( 1,050,000 \)(j)

Variable Costs (a) 60,000 525,000 100,800

Fixed Costs (b) 232,000 260,000 (k)

Operating Income (Loss) 285,600 (e) (g) 31,500

Units Sold 170,000 10,000 (h) (l)

Contribution Margin per Unit \( 3.80 \) (f) \( 75.00 \) 9.00

Contribution Margin Ratio (c) 80% (i) 30%

Requirements

1. Fill in the blanks for each missing value. (Round the contribution margin per unit to the nearest cent.)

2. Which company has the lowest breakeven point in sales dollars?

3. What causes the low breakeven point?

White Company sells flags with team logos. White has fixed costs of \(639,600 per year plus variable costs of \)4.20 per flag. Each flag sells for \(12.00.

Requirements

1. Use the equation approach to compute the number of flags White must sell each year to break even.

2. Use the contribution margin ratio approach to compute the dollar sales White needs to earn \)32,500 in operating income for 2018. (Round the contribution margin to two decimal places.)

3. Prepare White鈥檚 contribution margin income statement for the year ended December 31, 2018, for sales of 73,000 flags. (Round your final answers up to the next whole number.)

4. The company is considering an expansion that will increase fixed costs by 23% and variable costs by $0.60 per flag. Compute the new breakeven point in units and in dollars. Should White undertake the expansion? Give your reasoning. (Round your final answers up to the next whole number.)

Identifying variable, fixed, and mixed costs Holly鈥檚 Day Care has been in operation for several years. Identify each cost as variable (V), fixed (F), or mixed (M), relative to number of students enrolled.

1. Building rent.

2. Toys.

3. Compensation of the office manager, who receives a salary plus a bonus based on number of students enrolled.

4. Afternoon snacks.

5. Lawn service contract at $200 per month.

6. Holly鈥檚 salary.

7. Wages of afterschool employees.

8. Drawing paper for students鈥� artwork.

9. Straight-line depreciation on furniture and playground equipment.

10. Fee paid to security company for monthly service.

Determining mixed costs鈥攖he 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.

The contribution margin income statement of Sugar Lips Donuts for August 2018 follows:

Sugar Lips sells three dozen plain donuts for every dozen custard-filled donuts. A dozen plain donuts sells for \(4.00, with total variable cost of \)1.80 per dozen. A dozen custard-filled donuts sells for \(8.00, with total variable cost of \)3.60 per dozen.

Requirements

1. Calculate the weighted-average contribution margin.

2. Determine Sugar Lips鈥檚 monthly breakeven point in dozens of plain donuts and custard-filled donuts. Prove your answer by preparing a summary contribution margin income statement at the breakeven level of sales. Show only two categories of costs: variable and fixed.

3. Compute Sugar Lips鈥檚 margin of safety in dollars for August 2018.

4. Compute the degree of operating leverage for Sugar Lips Donuts. Estimate the new operating income if total sales increase by 30%. (Round the degree of operating leverage to four decimal places and the final answer to the nearest dollar. Assume the sales mix remains unchanged.)

5. Prove your answer to Requirement 4 by preparing a contribution margin income statement with a 30% increase in total sales. (The sales mix remains unchanged.)

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