Compute the Break-Even Point

Compute the Break-Even Point

Mackson Products distributes a single product, a woven basket; its selling price is $8 and its variable cost is $6 per unit. The company’s monthly fixed expense is $5,500.

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1. Solve for the company’s break-even point in unit sales using the equation method.

2. Solve for the company’s break-even point in sales dollars using the equation method and CM ratio.

3. Solve for the company’s break-even point in unit sales using the contribution margin method.

4. Solve for the company’s break-even point in sales dollars using the contribution margin met and the CM ratio.

Break-Even Analysis and CVP Graphing

Horace Society is planning its annual Western Fair Raceway Gala. The Gala committee has assembled the following expected costs for the event:

Dinner (per person) $10
Gaming tokens and program (per person) $2
Prize payouts $4,300
Tickets and advertising $800
Private box suite rental $1,700
Lottery licences $200

The committee members would like to charge $40 per person for the evening’s activities.


1. Compute the break-even point for the Gala (in terms of the number of persons that must attend.)
2. Assume only 200 persons attended the Gala last year. If the same number attend this year, what price per ticket must be charged to break even?
3. Using the $40 ticket price per person amount, prepare a CVP graph for the Gala from zero tickets up to 600 tickets sold.

Basic CVP Analysis

Klein Company distributes a high-quality bird feeder that sells for $30 per unit. Variable costs are $12 per unit, and fixed costs total $270,000 annually.


Answer the following independent questions:

1. What is the product’s CM ratio?
2. Use the CM ratio to determine the break-even point in sales dollars.
3. The company estimates that sales will increase by $60,000 during the coming year due to increased demand. By how much should operating income increase?
4. Assume that the operating results for last year were as follows:
Sales $600,000
Variable expenses 240,000
Contribution margin 360,000
Fixed expenses 270,000
Operating income $90,000
a. Compute the degree of operating leverage at the current level of sales.
b. The president expects sales to increase by 16% next year. By how much should operating income increase?
5. Refer to the original data. Assume that the company sold 23,000 units last year. The sales manager is convinced that a 12% reduction in the selling price, combined with a $40,000 increase in advertising expenditures, would cause annual sales in units to increase 30%. Prepare two contribution-format income statements, one showing the results of last year’s operations and one showing what the results of operations would be if these changes were made. Would you recommend that the company do as the sales manager suggests?
6. Refer to the original data. Assume again that the company sold 23,000 units last year. The president feels that it would be unwise to change the selling price. Instead, he wants to increase the sales commission by $4 per unit. He thinks that this move, combined with some increase in advertising, would increase annual unit sales by 50%. By how much could advertising be increased with profits remaining unchanged? Do not prepare an income statement; use the incremental analysis approach.


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