Lysiak Corporation uses an activity based costing system to assign overhead costs to products. In the first stage, two overhead costs--equipment depreciation and supervisory expense-are allocated to three activity cost pools--Machining, Order Filling, and Other--based on resource consumption. Data to perform these allocations appear below: Overhead costs:
Equipment depreciation $ 47,000
Supervisory expense $ 6,000
Distribution of Resource Consumption Across Activity Cost Pools:
Activity Cost Pools
Machining Order Filling Other
Equipment depreciation 0.60 0.10 0.30
Supervisory expense 0.60 0.20 0.20
In the second stage, Machining costs are assigned to products using machine-hours (MHs) and Order Filling costs are assigned to products using the number of orders. The costs in the Other activity cost pool are not assigned to products. Activity data for the company's two products follow:
Activity:
MHs (Machining) Orders (Order Filling)
Product C9 6,900 200
Product U0 3,100 800
Total 10,000 1,000
What is the overhead cost assigned to Product C9 under activity-based costing?

$23,122

Explanation:

Calculation to determine the overhead cost assigned to Product C9 under activity-based costing

First step is to calculate the cost allocation to machining activity and order filling

MACHINING

Equipment depreciation (0.60 : 0.10 : 0.30)

Machining=$47,000 x 0.60 = $28,200

Supervisory expense (0.60 : 0.20 : 0.20) Machining=$6,000 x 0.60 = $3600

Total $31,800

($28,200+$3,600)

ORDER FILLING

Equipment depreciation (0.60 : 0.10 : 0.30)

Order filling=$47,000 x 0.10 = $4,700

Supervisory expense (0.60 : 0.20 : 0.20)

Order filling=$6000 x 0.20 = $1,200

Total $5,900

($4,700+$1,200)

Second step is to calculate the Assign overhead costs to products:

Assign overhead costs to products:

Machining= $31,800 ÷ 10,000 MHs

Machining= $3.18 per MHOrder

Order Filling=$5,900 ÷ 1,000 orders

Order Filling = $5.90 per order

Now let calculate the Overhead cost for Product C9

Machining= $3.18 per MH × 6,900

Machining=$21,942

Order Filling= $5.90 per order × 200 Orders Order Filling=$1,180

TOTAL $23,122

($21,942+$1,180)

Therefore the overhead cost assigned to Product C9 under activity-based costing is $23,122