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SBD Phone Company sells its waterproof phone case for \(90 per unit. Fixed costs total \)162,000, and variable costs are \(36 per unit. Compute the units of product that must be sold to earn a pre-tax income of \)200,000. (Round to the nearest whole unit.)

Short Answer

Expert verified

The business entity will sell6,704 units to earn a pre-tax income of $200,000.

Step by step solution

01

Definition of Break-Even Units

The number of units that a business entity must sell to achieve the situation of no-profit, no-loss is known as break-even units. It is calculated using the fixed cost and the contribution margin per unit.

02

Units to be sold for pre-tax income of $200,000

Unitstobesold=Fixedcost+TargetedprofitSales-VariableCost=$162,000+$200,000$90-$36=6704units

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Most popular questions from this chapter

Aces Inc., a manufacturer of tennis rackets, began operations this year. The company produced 6,000 rackets and sold 4,900. Each racket was sold at a price of \(90. Fixed overhead costs are \)78,000, and fixed selling and administrative costs are \(65,200. The company also reports the following per unit costs for the year. Prepare an income statement under variable costing.

Variable production cost

\)25

Variable selling and administrative expenses

$2

This year Burchard Company sold 40,000 units of its only product for \(25 per unit. Manufacturing and selling the product required \)200,000 of fixed manufacturing costs and \(325,000 of fixed selling and administrative costs. Its per unit variable costs follow.

Material

\)8.00

Direct labor (paid on the basis of completed units)

5.00

Variable overhead cost

1.00

Variable selling and administrative costs

0.50

Next year the company will use new material, which will reduce material costs by 50% and direct labor costs by 60% and will not affect product quality or marketability. Management is considering an increase in the unit selling price to reduce the number of units sold because the factoryโ€™s output is nearing its annual output capacity of 45,000 units. Two plans are being considered. Under plan 1, the company will keep the selling price at the current level and sell the same volume as last year. This plan will increase income because of the reduced costs from using the new material. Under plan 2, the company will increase the selling price by 20%. This plan will decrease unit sales volume by 10%. Under both plans 1 and 2, the total fixed costs and the variable costs per unit for overhead and for selling and administrative costs will remain the same.

Required

1. Compute the break-even point in dollar sales for both (a) plan 1 and (b) plan 2.

2. Prepare a forecasted contribution margin income statement with two columns showing the expected results of plan 1 and plan 2. The statements should report sales, total variable costs, contribution margin, total fixed costs, income before taxes, income taxes (30% rate), and net income.

Google has both fixed and variable costs. Why are fixed costs depicted as a horizontal line on a CVP chart?

This year Best Company earned a disappointing 5.6% after-tax return on sales (net income/sales) from marketing 100,000 units of its only product. The company buys its product in bulk and repackages it for resale at the price of \(20 per unit. Best incurred the following costs this year

Total variable unit costs

\)800,000

Total variable packaging costs

\(100,000

Fixed costs

\)950,000

Income tax rate

25%

The marketing manager claims that next yearโ€™s results will be the same as this yearโ€™s unless some changes are made. The manager predicts the company can increase the number of units sold by 80% if it reduces the selling price by 20% and upgrades the packaging. This change would increase variable packaging costs by 20%. Increased sales would allow the company to take advantage of a 25% quantity purchase discount on the cost of the bulk product. Neither the packaging change nor the volume discount would affect fixed costs, which provide an annual output capacity of 200,000 units.

Required

1. Compute the break-even point in dollar sales under the (a) existing business strategy and (b) new strategy that alters both unit selling price and variable costs. (Round answers to the next whole dollar.)

2. Prepare a forecasted contribution margin income statement with two columns showing the expected results of (a) the existing strategy and (b) changing to the new strategy. The statements should report sales, total variable costs (unit and packaging), contribution margin, fixed costs, income before taxes, income taxes, and net income. Also, determine the after-tax return on sales for these two strategies.

Blanchard Company manufactures a single product that sells for \(180 per unit and whose total variable costs are \)135 per unit. The companyโ€™s annual fixed costs are $562,500. Prepare a CVP chart for the company.

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