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Cornerstone Exercise 4.5 (Algorithmic) Activity-Based Product Costing Roberts Co

ID: 2536477 • Letter: C

Question

Cornerstone Exercise 4.5 (Algorithmic)

Activity-Based Product Costing

Roberts Company produces two weed eaters: basic and advanced. The company has four activities: machining, engineering, receiving, and inspection. Information on these activities and their drivers is given below.

Required:

1. Calculate the four activity rates.

2. Calculate the unit costs using activity rates. Round your answers to the nearest cent.

Calculate the overhead cost per unit. Round your answers to the nearest cent.

3. What if consumption ratios instead of activity rates were used to assigned costs? Show the cost assignment for the inspection activity.

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1. Machining rate: Overhead costs ÷ Total machine hours. The other three activity rates are calculated the same way using each activity's Overhead costs and totals.

2. Use the calculations from Requirement 1 to calculate the unit costs and also calculate OH cost per unit. Example of Total cost: Activity rate (above) × Basic OH costs and also Activity rate × Advanced OH costs. Example of OH costs per units: Total manufacturing costs÷ Units of production = Unit Cost (for Basic and Advanced).

3. Calculate unit costs using consumption ratios. Compare to activity rate unit costs. To assign inspection cost use the inspection hrs. for basic/advanced ÷ total inspection hrs. for both and give a conclusion.

Cornerstone Exercise 4.5 (Algorithmic)

Activity-Based Product Costing

Roberts Company produces two weed eaters: basic and advanced. The company has four activities: machining, engineering, receiving, and inspection. Information on these activities and their drivers is given below.

Basic      Advanced      Total Units produced         150,000         450,000         ------ Prime costs         $10,500,000         $52,200,000         $62,700,000 Machine hours         150,000         750,000         900,000 Engineering hours         400         3,600         4,000 Receiving orders         200         600         800 Inspection hours         800         1,600         2,400         Overhead costs:         Machining         $13,500,000 Engineering         1,920,000 Receiving         216,000 Inspecting products         480,000

Required:

1. Calculate the four activity rates.

Machining rate $  per machine hour Engineering rate $  per hour Receiving rate $  per order Inspecting rate $  per hour

2. Calculate the unit costs using activity rates. Round your answers to the nearest cent.

Unit cost Basic $  per unit Advanced $  per unit

Calculate the overhead cost per unit. Round your answers to the nearest cent.

Overhead Cost Basic $  per unit Advanced $  per unit

3. What if consumption ratios instead of activity rates were used to assigned costs? Show the cost assignment for the inspection activity.

Cost assignment Basic $ Advanced $

Explanation / Answer

Answers

Overhead cost

Total cost drivers

Activity Rates

Machining

$                135,00,000.00

900000

$                           15.00

per machine hour

Engineering

$                  19,20,000.00

4000

$                         480.00

per hour

Receiving

$                    2,16,000.00

800

$                         270.00

per order

Inspection Products

$                    4,80,000.00

2400

$                         200.00

per hour

Total

$                161,16,000.00

Basic’s Overhead cost per unit

Activity rate

No. of cost driver

Overhead cost allocated

Machining

$                                15.00

150000

$                      22,50,000.00

Engineering

$                              480.00

400

$                        1,92,000.00

Receiving

$                              270.00

200

$                            54,000.00

Inspection Products

$                              200.00

800

$                        1,60,000.00

Total Overhead cost allocated

$                      26,56,000.00

Total Units

$                        1,50,000.00

Overhead cost per unit

$                                    17.71

Advanced Overhead cost per unit

Activity rate

No. of cost driver

Overhead cost allocated

Machining

$                                15.00

750000

$                   112,50,000.00

Engineering

$                              480.00

3600

$                      17,28,000.00

Receiving

$                              270.00

600

$                        1,62,000.00

Inspection Products

$                              200.00

1600

$                        3,20,000.00

Total Overhead cost allocated

$                   134,60,000.00

Total Units

$                        4,50,000.00

Overhead cost per unit

$                                    29.91

Product Unit Cost

Basic

Advanced

Prime Costs

$                105,00,000.00

$                       522,00,000.00

Total Units

150000

450000

Prime cost per unit

$                                70.00

$                                     116.00

Overhead cost per unit

$                                17.71

$                                       29.91

Total Unit Cost

$                                87.71

$                                     145.91

Working

Total Overhead cost

$                161,16,000.00

Total Prime cost

$                627,00,000.00

Overhead cost per Prime cost $ (Consumption)

$                                   0.26

Basic' Prime cost

$                105,00,000.00

Basic's Overhead cost allocated

$                  27,30,000.00

Overhead cost per unit

$                                18.20

Advanced Prime Costs

$                522,00,000.00

Advanced's Overhead cost allocated

$                135,72,000.00

Overhead cost per unit

$                                30.16

Basic

Advanced

Prime cost per unit

$                                70.00

$                                     116.00

Overhead cost per unit

$                                18.20

$                                       30.16

Total Unit Cost

$                                88.20

$                                     146.16

Overhead cost

Total cost drivers

Activity Rates

Machining

$                135,00,000.00

900000

$                           15.00

per machine hour

Engineering

$                  19,20,000.00

4000

$                         480.00

per hour

Receiving

$                    2,16,000.00

800

$                         270.00

per order

Inspection Products

$                    4,80,000.00

2400

$                         200.00

per hour

Total

$                161,16,000.00