Accounting Q and A

Appendix Ex 25-26 Variable cost concept of product pricing

Based on the data presented in Exercise 25-17, assume that Smart Stream Inc. uses the variable cost concept of applying the cost-plus approach to product pricing.

a. Determine the variable costs and the variable cost amount per unit for the production and sale of 10,000 cellular phones.

b. Determine the variable cost markup percentage (rounded to two decimal places) for cellular phones.

c. Determine the selling price of cellular phones. Round to the nearest dollar.

Answer:

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a. Total variable costs: ($240 × 10,000 units)……………………………………… $2,400,000 

Cost amount per unit:  $2,400,000 ÷ 10,000 units = $240 

b. Markup percentage = 

Markup percentage = 

Markup percentage = 

Desired Profit + Total Fixed Costs 

Total Costs 

EX 26-2 Average rate of return—cost savings

Midwest Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $132,000 with a $16,000 residual value and a 10-year

life. The equipment will replace one employee who has an average wage of $34,000 per year. In addition, the equipment will have operating and energy costs of $5,380 per year.

Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment.

Answer:

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Average Rate 

of Return   =

Average Annual Income 

Average Investment 

Average Savings* – Annual Depreciation – Additional Operating Costs 

(Beginning Cost + Residual Value) ÷ 2 

$34,000 – [($132,000 – $16,000) ÷ 10 years] – $5,380 

($132,000 + $16,000) ÷ 2 

= $17,020 

$74,000 

=  23% 

* The effect of the savings in wages expense is an increase in income. 

Accounting Q and A

EX 26-2 Average rate of return—cost savings

Midwest Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $132,000 with a $16,000 residual value and a 10-year

life. The equipment will replace one employee who has an average wage of $34,000 per year. In addition, the equipment will have operating and energy costs of $5,380 per year.

Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment.

Answer:

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Average Rate 

of Return   =

Average Annual Income 

Average Investment 

Average Savings* – Annual Depreciation – Additional Operating Costs 

(Beginning Cost + Residual Value) ÷ 2 

$34,000 – [($132,000 – $16,000) ÷ 10 years] – $5,380 

($132,000 + $16,000) ÷ 2 

= $17,020 

$74,000 

=  23% 

* The effect of the savings in wages expense is an increase in income. 

EX 26-1 Average rate of return

The following data are accumulated by Bio Metrics Inc. in evaluating two competing capital investment proposals:


                                      Testing Equipment | Vehicle
Amount of investment                 $104,000 | $32,000
Useful life                                        6 years | 8 years
Estimated residual value                           0 |       0
Estimated total income over the
useful life                                       $18,720 | $15,360

Determine the expected average rate of return for each proposal.


Answer:


Testing 
Equipment Vehicle 
$18,720 ÷ 6……………………………………………………………… $3,120 
$15,360 ÷ 8……………………………………………………………… $1,920 
Average investment: 
($104,000 + $0) ÷ 2………………………………………………………   $52,000 
($32,000 + $0) ÷ 2……………………………………………………… $16,000 
Average rate of return: 
$3,120 ÷ $52,000………………………………………………………… 6% 
$1,920 ÷ $16,000……………………………………………………… 12% 

Appendix Ex 25-26 Variable cost concept of product pricing

Based on the data presented in Exercise 25-17, assume that Smart Stream Inc. uses the variable cost concept of applying the cost-plus approach to product pricing.

a. Determine the variable costs and the variable cost amount per unit for the production and sale of 10,000 cellular phones.

b. Determine the variable cost markup percentage (rounded to two decimal places) for cellular phones.

c. Determine the selling price of cellular phones. Round to the nearest dollar.

Answer:

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a. Total variable costs: ($240 × 10,000 units)……………………………………… $2,400,000 

Cost amount per unit:  $2,400,000 ÷ 10,000 units = $240 

b. Markup percentage = 

Markup percentage = 

Markup percentage = 

Desired Profit + Total Fixed Costs 

Total Costs 

$360,000* + $350,000 + $140,000 

$2,400,000 

$850,000 

$2,400,000 

Markup percentage =   35.42% 

* $1,200,000 × 30% = $360,000 

c. Cost amount per unit………………………………………………………………… $240 

 Markup ($240 × 35.42%)………………………………………………………………     85 

 Selling price…………………………………………………………………………… $325 

Appendix Ex 25-25 Total cost concept of product pricing

Based on the data presented in Exercise 25-17, assume that Smart Stream Inc. uses the total cost concept of applying the cost-plus approach to product pricing.

a. Determine the total costs and the total cost amount per unit for the production and sale of 10,000 cellular phones.

b. Determine the total cost markup percentage (rounded to two decimal places) for cellular phones.

c. Determine the selling price of cellular phones. Round to the nearest dollar.

Answer:

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a. Total costs: 

Variable ($240 × 10,000 units)………………………………………………… $2,400,000 

Fixed ($350,000 + $140,000)………………………………………………………   490,000 

Total……………………………………………………………………………………… $2,890,000 

Cost amount per unit:  $2,890,000 ÷ 10,000 units = $289 

b. Markup percentage = 

Markup percentage = 

Desired Profit 

Total Costs 

$360,000* 

$2,890,000 

Markup percentage = 12.46% (rounded) 

* $1,200,000 × 30% = $360,000 

c. Cost amount per unit………………………………………………………………… $289 

Markup ($289 × 12.46%)………………………………………………………………     36 

Selling price…………………………………………………………………………… $325 

Ex 25-24 Activity rates and product costs using activity-based costing

BriteLite Inc. manufactures entry and dining room lighting fixtures. Five activities are used in manufacturing the fixtures. These activities and their associated activity costs and activity bases are as follows:

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Activity 

Activity Costs  

(Budgeted) 

Activity Base

Casting $42,000 Machine hours

Assembly   13,500 Direct labor hours

Inspecting   5,800 Number of inspections

Setup   16,800 Number of setups

Materials handling   3,600 Number of loads

Corporate records were obtained to estimate the amount of activity to be used by the two products. The estimated activity-base usage quantities and units produced for each product and in total are provided in the table below.

Activity Base            | Entry | Dining | Total

Machine hours            |   800 |    600 | 1,400

Direct labor hours       |   500 |    400 |   900

Number of inspections.   |   140 |    150 |   290

Number of setups         |    80 |     60 |   140

Number of loads          |    50 |     40 |    90

Units produced           | 1,200 |    500 | 1,700

a. Determine the activity rate for each activity.

b. Use the activity rates in (a) to determine the total and per unit activity costs associated with each product.

Answer:

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Estimated Total 

Activity Activity- Activity 

Cost ÷ Base Usage = Rate 

Casting $42,000 1,400  mh $30  /mh 

Assembly 13,500 900  dlh $15  /dlh 

Inspecting 5,800 290  insp. $20  /insp. 

Setup 16,800 140  setups $120  /setup 

Materials handling 3,600 90  loads $40  /load 

Activity 

Entry Lighting Fixtures Dining Room Lighting Fixtures 

Activity- 

Base Activity Activity 

Usage × Rate = Cost 

Casting 800  mh $30  /mh $24,000 600  mh $30  /mh $18,000 

Assembly 500  dlh $15  /dlh 7,500 400  dlh $15  /dlh 6,000 

Inspecting 140  insp. $20  /insp. 2,800 150  insp. $20  /insp. 3,000 

Setup 80  setups $120  /setup 9,600 60  setups $120  /setup 7,200 

Materials handling 50  loads $40  /load 2,000 40  loads $40  /load 1,600 

Total activity cost $45,900  $35,800 

÷ Number of units ÷   1,200  ÷ 500 

Activity cost per unit $  38.25  $  71.60 

Ex 25-23 Activity-based costing

Zeus Industries manufactures two types of electrical power units, custom and standard, which involve four factory overhead activities—production setup, procurement, quality control, and materials management. An activity analysis of the overhead revealed the following estimated activity costs and activity bases for these activities:

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Activity Activity Cost Activity Base

Production setup $ 44,000 Number of setups

Procurement 13,500 Number of purchase orders (PO)

Quality control 97,500 Number of inspections

Materials management 84,000 Number of components

Total$239,000p

The activity-base usage quantities for each product are as follows:

 Setups

Purchase 

Orders Inspections Components Unit Volume

Custom 290 760 1,200 500 2,000

Standard 110 140   300 200 2,000

Total 400 900 1,500 700 4,000

a. Determine an activity rate for each activity.

b. Assign activity costs to each product, and determine the unit activity cost, using the activity rates from part (a).

c. Assume that each product required one direct labor hour per unit. Determine the per unit cost if factory overhead is allocated on the basis of direct labor hours.

d.  Explain why the answers in parts (b) and (c) are different.

Answer:

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Production Quality 

Materials 

a. Setup Procurement Control 

Activity cost…… $44,000 $13,500 $97,500 

÷ Activity base…   400   900     1,500 

Activity rate…… $110/setup   $15/PO    $65/inspection 

Management 

$84,000 

  700 

 $120/component 

b. Custom Standard 

Number of setups…………………… 290 110 

× Rate per setup……………………… $110 $110 

Number of purchase orders……… 

760 

$  31,900  

140 

$12,100 

× Rate per purchase order………… $15  $15  

  11,400  2,100 

Number of inspections…………… 1,200  300  

× Rate per inspection…………………    $65  $65  

  78,000  19,500 

Number of components…………… 500  200  

× Rate per component……………… $120  $120  

      60,000    24,000 

Total product cost……………………  $181,300  $57,700 

÷ Unit volume…………………………    2,000      2,000 

Unit cost………………………………  $  90.65  $ 28.85 

c. The factory overhead allocated to each product on the basis of direct labor hours 

would be 50%, since each product has the same 2,000 direct labor hours. The 

factory overhead per direct labor hour for each product is computed as follows: 

$239,000 

4,000 per direct labor hour 

=  $59.75 per hour 

Since each product requires one direct labor hour, the factory overhead cost per 

unit is also $59.75 for each product. 

d. The factory overhead allocated to the custom power unit is much higher under the 

activity-based approach, compared to the direct labor method. The reason is that 

the setup, procurement, and quality control activities are not related to the number 

of direct labor hours but are instead related to the number of setups, purchase 

orders, and inspections. In addition, the custom product has a more complex design 

(more components) than does the standard product. As a result, the custom product 

will consume more materials management activities than will the standard product. 

Ex 25-22 Activity-based costing

CardioTrainer Equipment Company manufactures stationary bicycles and treadmills. The products are produced in the Fabrication and Assembly production departments. In addition to production activities, several other activities are required to produce the two products. These activities and their associated activity rates are as follows:

Activity                        | Activity Rate
Fabrication                   | $22 per machine hour (mh)
Assembly                     | $12 per direct labor hour (dlh)
Setup                            | $40 per setup
Inspecting                    | $18 per inspection
Production scheduling | $8 per production order
Purchasing                   | $5 per purchase order

The activity-base usage quantities and units produced for each product were as follows:

                    Stationary Bicycle | Treadmill
Machine hours                 1,680 | 1,070
Direct labor hours               243 | 131
Setups                                   45 | 20
Inspections                         158 | 94
Production orders                 60 | 32
Purchase orders                  240 | 98
Units produced                   500 | 350

Use the activity rate and usage information to compute the total activity costs and the activity costs per unit for each product.


Answer:

Stationary Bicycle Treadmill 
Activity- 
Base Activity Activity 
Usage × Rate = Cost 
Activity- 
Base Activity Activity 
Usage × Rate = Cost 
Fabrication 1,680  mh $22  /mh $36,960 1,070  mh $22  /mh $23,540 
Assembly 243  dlh $12  /dlh 2,916 131  dlh $12  /dlh 1,572 
Setup 45  setups $40  /setup 1,800 20  setups $40  /setup 800 
Inspecting 158  insp. $18  /insp. 2,844 94  insp. $18  /insp. 1,692 
Production       
scheduling 60  prod. orders $8  /prod. order 480 32  prod. orders $8  /prod. order 256 
Purchasing 240  purch. ord. $5  /purch. ord. 1,200 98  purch. ord. $5  /purch. ord. 490 
Total $46,200  $28,350 
÷ Number of units ÷ 500  ÷ 350 
Activity cost per unit $92.40  $81.00