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Zhao Co. has fixed costs of \(354,000. Its single product sells for \)175 per unit, and variable costs are \(116 per unit. Compute the level of sales in units needed to produce a target (pretax) income of \)118,000.

Short Answer

Expert verified

The business entity needs sales of8000 units to achieve the target income of $118,000.

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 determined using the fixed cost and the contribution margin per unit.

02

Sales needed to generate desired profit

Desiredsales=Fixedcost+DesiredprofitSalesprice-Variablecost=$354,000+$118,000$175-$116=8,000units

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Most popular questions from this chapter

The following costs result from the production and sale of 12,000 CD sets manufactured by Gilmore Company for the year ended December 31, 2017. The CD sets sell for \(18 each. The company has a 25% income tax rate.

Variable manufacturing costs

Plastic for CD Sets

\)1,500

Wages of assembly workers

30,000

Labelling

3,000

Variable selling cost

Sales commission

6,000

Fixed manufacturing cost

Rent on factory

6,750

Factory cleaning services

4,520

Factory machine depreciation

20,000

Fixed selling and administrative cost

Lease of office equipment

1,050

System staff salaries

15,000

Administrative management salaries

120,000

Required

1. Prepare a contribution margin income statement for the company.

2. Compute its contribution margin per unit and its contribution margin ratio.

Analysis Component

3. Interpret the contribution margin and contribution margin ratio from part 2.

Question: Stam Co. produces and sells two products, BB and TT. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.


Product BB

Product TT

Sales

\(800,000

\)800,000

Variable cost

560,000

100,000

Contribution margin

240,000

700,000

Fixed costs

100,000

560,000

Income before taxes

140,000

140,000

Income taxes (32% rate)

44,800

44,800

Net income

\(95,200

\)95,200

Required

1. Compute the break-even point in dollar sales for each product. (Round the answer to the next whole dollar.)

2. Assume that the company expects sales of each product to decline to 33,000 units next year with no change in the unit selling price. Prepare forecasted financial results for next year following the format of the contribution margin income statement as shown here with columns for each of the two products (assume a 32% tax rate, and that any loss before taxes yields a 32% tax benefit).

3. Assume that the company expects sales of each product to increase to 64,000 units next year with no change in the unit selling prices. Prepare forecasted financial results for next year following the format of the contribution margin income statement as shown here with columns for each of the two products (assume a 32% tax rate).

Analysis Component

4. If sales greatly increase, which product would experience a greater increase in profit? Explain.

5. Describe some factors that might have created the different cost structures for these two products.


Henna Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.

Product T

Product O

Sales

\(2,000,000

\)2,000,000

Variable cost

1,600,000

250,000

Contribution margin

400,000

1,750,000

Fixed costs

125,000

1,475,000

Income before taxes

275,000

275,000

Income taxes (32% rate)

88,000

88,000

Net income

\(187,000

\)187,000

Required

1. Compute the break-even point in dollar sales for each product. (Round the answer to whole dollars.)

2. Assume that the company expects sales of each product to decline to 30,000 units next year with no change in unit selling price. Prepare forecasted financial results for next year following the format of the contribution margin income statement as just shown with columns for each of the two products (assume a 32% tax rate). Also, assume that any loss before taxes yields a 32% tax benefit.

3. Assume that the company expects sales of each product to increase to 60,000 units next year with no change in unit selling price. Prepare forecasted financial results for next year following the format of the contribution margin income statement shown with columns for each of the two products (assume a 32% tax rate).

Analysis Component

4. If sales greatly decrease, which product would experience a greater loss? Explain.

5. Describe some factors that might have created the different cost structures for these two products.

_____ of _____ reflects expected sales in excess of the level of break-even sales.

Define and explain the contribution margin ratio.

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