Chapter Differential Analysis and Product Pricing Financial and Managerial Accounting

Chapter 23

Differential Analysis and

Product Pricing

Financial and Managerial Accounting

8th Edition

Warren Reeve Fess

PowerPoint Presentation by Douglas Cloud

Professor Emeritus of Accounting

Pepperdine University

© Copyright 2004 South-Western, a division of Thomson Learning. All rights reserved.

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Objectives

1.

Prepare a differential analysis report for decisions involving leasing or selling segment, manufacturing or purchasing a needed part, replacing usable fixed assets, processing further or selling an intermediate product, or accepting additional business at a special price.

Objectives

2.

Determine the selling price of a product, using the total cost, product cost, and variable cost concepts.

3.

Calculate the relative profitability of products in bottleneck production environments.

Differential Analysis

Differential analysis is used for analyzing:

 Leasing or selling equipment.

Discontinuing an unprofitable segment.

Manufacturing or purchasing a needed part.

Replacing usable fixed assets.

Processing further or selling an intermediate product.

Accepting additional business at a special price.

Differential Analysis

Decisions

Alternative A or

Alternative B

Differential

Analysis

Differential revenue

– Differential costs

Differential income or loss

Lease or Sell Equipment

Marcus

Company

Marcus Company is considering disposing of equipment that cost

$200,000 and that has $120,000 of accumulated depreciation.

Lease or Sell Equipment

Marcus

Company

Sell equipment to

The equipment can be sold through a broker for

$100,000, less a 6% commission.

Broker

Lease or Sell Equipment

Marcus

Company

Potamkin Company, the lessee, has offered to lease the equipment for five years for a total consideration of

$160,000.

OR

Lease equipment to

Potamkin

Company

Lease or Sell Equipment

Marcus

Company

At the end of the fifth year, the equipment is expected to have no residual value. During the period of the lease, Marcus Company expects to incur repair, insurance, and property taxes estimated at $35,000.

Proposal to Lease or Sell Equipment

June 22, 2006

Differential revenue from alternatives:

Revenue from lease

Revenue from sales

Differential revenue from lease

Differential cost of alternatives:

Repairs, insurance, taxes

Commission expense on sale

Differential cost of lease

Net differential income from the lease alternative

$160,000

100,000

$ 35,000

6,000

$60,000

29,000

$31,000

Lease the equipment!

OR

Proposal to Lease or Sell Equipment

June 22, 2006

Lease alternative:

Revenue from lease

Depreciation expense for remaining 5 years $80,000

$160,000

Repairs, insurance, and property tax expense 35,000 115,000

Net gain

Sell alternative:

Sales price

Book value of equipment

Commission expense

Net gain

$80,000

$100,000

6,000 86,000

Net differential income from the lease alternative

$45,000

14,000

$31,000

This is the traditional analysis. The differential income is the same.

Discontinue a Segment or Product

Battle Creek Cereal Co.

Condensed Income Statement

For the Year Ended August 31, 2006

Differential items

Bran

Flakes

Other

Cereals Total

$100,000 $900,000 $1,000,000

Cost of goods sold:

Fixed costs

Total cost of goods sold

Gross profit

Operating expenses:

$ 60,000 $420,000 $ 480,000

20,000 200,000 220,000

$ 80,000 $620,000 $ 700,000

$ 20,000 $280,000 $ 300,000

Fixed expenses

Total operating expenses

Income (loss) from operations

$ 25,000 $155,000 $ 180,000

6,000 45,000 51,000

$ 31,000 $200,000 $ 231,000

$ (11,000) $ 80,000 $ 69,000

Should Bran Flakes be discontinued?

Battle Creek Cereal Co.

Condensed Income Statement

For the Year Ended August 31, 2006

Differential items

Bran

Flakes

Other

Cereals Total

$100,000 $900,000 $1,000,000

Cost of goods sold:

Fixed costs

Total cost of goods sold

$ 60,000 $420,000 $ 480,000

20,000 200,000 220,000

$ 80,000 $620,000 $ 700,000

Gross profit

Operating expenses:

$ 20,000 $280,000 $ 300,000

Fixed expenses

Total operating expenses

$ 25,000 $155,000 $ 180,000

6,000 45,000 51,000

$ 31,000 $200,000 $ 231,000

Income (loss) from operations $ (11,000) $ 80,000 $ 69,000

If Bran Flakes is discontinued, net income will decrease by $15,000.

Proposal to Discontinue Bran Flakes

September 29, 2006

Differential revenue from annual sales of Bran Flakes:

Revenue from sales

Differential cost of annual sales of Brian Flakes:

Variable cost goods sold

Variable operating expenses

$100,000

$60,000

25,000 85,000

Annual differential income from sales of

Bran Flakes $15,000

Don’t discontinue!

or

Currently, a firm manufactures the dashboards that it uses in making automobiles. The cost of manufacturing this part is summarized below. An outside supplier has offered to provide the part for

$240. Should the car manufacturer accept the offer?

Direct materials

Direct labor

Variable factory overhead

Fixed factory overhead

Total cost per unit

$ 80

80

52

68

$280

INITIAL REACTION—DON’T MAKE

INTERNALLY

Proposal to Manufacture Automobile Part

February 15, 2006

$240.00

Purchase price of part

Differential cost to manufacture:

Direct materials

Direct labor

Variable factory overhead

Cost savings from manufacturing part

$80.00

80.00

52.00

212.00

$ 28.00

The fixed factory overhead is excluded because it is not relevant—so continue making the part.

Replace

Equipment

Assume that a business is considering the disposal of several identical machines having a total book value of $100,000 and an estimated remaining life of five years. The old machines can be sold for $25,000.

They can be replaced by a single high-speed machine at a cost $250,000. The new machine has a n estimated useful life of five years and no residual value. Analyses indicate an estimated annual reduction in variable manufacturing costs from

$225,000 with the old machine to $150,000 with the new machine. No other changes in the manufacturing costs or the operating expenses are expected. Should the new machine be purchased?

Proposal to Replace Equipment

November 28, 2006

Annual variable costs—present equipment

Annual variable costs—new equipment

Annual differential decrease in cost

Number of years applicable

Total differential decrease in cost

Proceeds from sale of present equipment

Cost of new equipment

Net differential decrease in cost, 5-years

Annual net differential—new equipment

$225,000

150,000

$ 75,000 x 5

$375,000

5,000 $400,000

250,000

$150,000

$ 30,000

Buy the new equipment!

Process or Sell

A refinery produces kerosene in batches of 4,000 gallons at a processing cost of $0.60 per gallon. Kerosene can be sold without further processing for

$0.80 per gallon or further processed to yield gasoline, which can be sold for $1.25 per gallon. The additional processing cost $650 per batch, and 20% of the gallons of kerosene will evaporate during production.

Proposal to Process Kerosene Further

October 1, 2006

Differential revenue from further processing per batch:

Revenue from sale of gasoline [(4,000 gallons –

800 gallons evaporation) x $1.25]

Revenue from sale of kerosene (4,000 gallons x $0.80)

Differential revenue

Differential cost per batch:

Additional cost of producing gasoline

Differential income from further processing gasoline per batch

$4,000

3,200

$800

650

$150

Process further!

Accept

Business at a

Special Price

The monthly capacity of a sporting goods business is

12,500 basketballs. Current sales and production are averaging 10,000 basketballs per month. The current manufacturing cost is $20

(variable, $12.50; fixed,

$7.50). The domestic selling price is $30.

The manufacturer receives an offer from an exporter for

5,000 basketballs at $18 each.

Production can be spread over three months, so these basketballs can be manufactured using normal capacity. Domestic sales would not be affected.

Should the offer be accepted or rejected?

Proposal to Sell Basketballs to Exporter

March 10, 2006

Differential revenue from accepting offer:

Revenue from sale of 5,000 additional units at $18 $90,000

Differential cost of accepting offer:

Variable cost of 5,000 additional units at $12.50

62,500

Differential income from accepting offer $27,500

Accept the offer!

Setting Normal

Product Selling Prices

Setting Normal Product

Selling Prices

Market Methods

1. Demand-based methods

2. Competition-based methods

Cost-Plus Methods

1. Total cost concept

2. Product cost concept

3. Variable cost concept

Market Methods

Demand-based methods set the price according to the demand for the product.

Market Methods

Competition-based methods set the price according to the price offered by the competitors.

Total Cost Concept

Using the Total cost concept , all cost of manufacturing a product...

Manufacturing

Cost

Administrative

Expenses

Selling Expenses

Manufacturing

Cost

Total Cost Concept

…plus the selling and administrative expenses...

Desired Profit

Administrative

Expenses

Selling Expenses

Manufacturing

Cost

Total Cost Concept

…are included in the cost to which the markup is added.

Total cost

Total Cost Concept

Desired selling price

The company’s desired profit is

$160,000.

Desired Profit

Administrative

Expenses

Selling Expenses

Manufacturing

Cost

Total Cost Concept

Cost Structure Example (100,000 units)

Variable Costs (per unit):

Direct materials

Direct labor

Factory overhead

Per Unit

Cost

$ 3.00

10.00

1.50

Selling and administrative 1.50

Total variable costs $16.00

Fixed Costs:

Factory overhead .50

Selling and administrative .20

Total fixed costs

Total costs

. 70

$16.70

Total

Cost

$ 300,000

1,000,000

150,000

150,000

$1,600,000

50,000

20,000

70,000

$1,670,000

Total Cost Concept

Markup Percentage:

Desired profit

=

Total costs

$160,000

= 9.6%

$1,670,000

Total cost per calculator

Markup ($16.70 x 9.6%)

Selling price

$16.70

1.60

$18.30

Only the desired profit is covered in the markup.

Total Cost Concept

Proof that a sale of 100,000 computers at $18.30 each will generate a desired profit of $160,000.

Digital Solutions Inc.

Income Statement

For the Year Ended December 31, 2006

Sales (100,000 units x $18.30)

Expenses:

Variable (100,000 units x $16.00) $1,600,000

Fixed ($50,000 + $20,000)

Income from operations

$1,830,000

70,000 1,670,000

$ 160,000

Product Cost Concept

Using the product cost concept only the manufacturing costs are included in the amount to which the markup is applied.

Product Cost Concept

Cost Structure Example (100,000 units)

Variable Costs:

Per Unit

Cost

Total

Cost

Direct materials $ 3.00

$ 300,000

Direct labor

Factory overhead

10.00

1.50

Selling and administrative 1.50

Total variable costs $16.00

Fixed Costs:

Factory overhead .50

Selling and administrative .20

Total fixed costs

Total costs

.70

$16.70

1,000,000

150,000

150,000

$1,600,000

50,000

20,000

70,000

$1,670,000

Product Cost = $15 per unit

Product Cost Concept

Administrative

Expense

+

Selling Expense

+

Desired Profit

Manufacturing

Cost

Markup

Product Cost

Product Cost Concept

Total selling and

Markup percentage

=

Desired profit + administrative expenses

Total manufacturing costs

Product Cost Concept

Markup percentage

=

$160,000 + $170,000

$1,500,000

Markup

= 22%

DL ($10 x 100,000)

Factory overhead:

Variable ($1.50 x 100,000)

Fixed

Total manufacturing costs

$ 300,000

1,000,000

150,000

50,000

$1,500,000

Product Cost Concept

Manufacturing cost per calculator $15.00

Markup ($15 x 22%) 3.30

Selling price $18.30

Variable Cost Concept

The variable cost concept uses total of the variable manufacturing costs and the variable selling and administrative expenses as the amount to apply a markup.

Variable Cost Concept

Markup

Total Fixed

Costs +

Desired

Profit

Variable

Manufacturing

Cost

+

Variable

Administrative and Selling

Expenses

Product Cost

Variable Cost Concept

Markup percentage

=

Desired profit + Total fixed costs

Total variable costs

Variable Cost Concept

Markup percentage

=

$160,000 + $50,000 + $20,000

$1,600,000

Markup

= 14.4% percentage

Direct materials ($3 x 100,000)

Direct labor ($10 x 100,000)

Variable factory overhead

($1.50 x 100,000)

Variable selling and administrative expenses ($1.50 x 100,000)

Total variable costs

$ 300,000

1,000,000

150,000

150,000

$1,600,000

Variable Cost Concept

Variable cost per calculator

Markup ($16 x 14.4%)

Selling price

$16.00

2.30

$18.30

Target Costing

Using target costing the cost is determined by subtracting a desired profit from the selling price.

Profit

Present Market Price

Expected

Market Price

Profit

Actual

Cost

Required cost reduction

Target

Cost

Present Future

Bottlenecks

Product Profitability Under Production Bottlenecks

Sales price

Variable cost

Contribution margin

Bottleneck hours

Small Medium Large

Wrench Wrench Wrench

$130 $140 $160

40 40 40

$ 90 $100 $120

1 4 8

The number of heat treatment hours per unit for each product.

Product Profitability Under Production Bottlenecks

Small Medium Large

Wrench Wrench Wrench

Sales price

Variable cost

$130 $140 $160

40 40 40

Contribution margin

Bottleneck hours

$ 90 $100 $120

÷ 1 ÷ 4 ÷ 8

Bottleneck contribution $ 90 $ 25 $ 15

Largest contribution margin per bottleneck hour

Product Profitability Under Production Bottlenecks

How much should the firm charge for the large wrench in order to deliver the same contribution as the small wrench?

Product Profitability Under Production Bottlenecks

Contribution margin per bottleneck hour per small wrench

=

Revised price of large wrench

Variable cost per large wrench

Bottleneck hours per large wrench

$90 =

Revised price of large wrench

8

$40

$720 = Revised price of large wrench – $40

$760 = Revised price of large wrench

Product Profitability Under Production Bottlenecks

Revised price of large wrench per formula on the previous slide

Less: Variable cost per unit of large wrench

Contribution margin per unit of large wrench

Bottleneck hours per unit of large wrench

$760

40

$720

÷ 8

Revised contribution margin per bottleneck hour $ 90

Chapter 23

The End