Answer :-
Calculation of overhead rate using activity based costing are as follows :-
Overhead rate of Cutting = Overhead allocated to cutting cost /Total Machine hours
Given , Overhead allocated to cutting cost = $432,000
Total Machine hours = 240,000 hours
Overhead rate of Cutting = $ 432,000 / 240,000 hours
Overhead rate of Cutting = $1.8 per machine hours
Overhead rate of Design = Overhead allocated to design cost /Total No.of setup
Overhead allocated to design cost = $702,000
Total No.of setup = 1800
Overhead rate of Design = $ 702,000 / 1,800
Overhead rate of Design = $ 390 per setup
.
The amount of overhead allocated to the Wool and Cotton product line using Activity based costing are as follows :-
Overhead allocated to Wool product line = (Overhead rate of Cutting × Machine hours of Wool) + ( Overhead rate of Design × No.of setup of Wool)
Overhead rate of Cutting = $ 1.8 per machine hours
Machine hours of Wool = 120,000
Overhead rate of Design = $390 per setup
No.of setup of Wool = 1,200
Overhead allocated to Wool product line = ($1.8 × 120,000) + ( $390 × 1200)
Overhead allocated to Wool product line=$216,000 + $468,000
Overhead allocated to Wool product line = $684,000
Overhead allocated to Cotton product line = (Overhead rate of Cutting × Machine hours of Cotton) + ( Overhead rate of Design × No.of setup of Cotton)
Overhead rate of Cutting = $ 1.8 per machine hours
Machine hours of Cotton = 120,000
Overhead rate of Design = $390 per setup
No.of setup of Cotton = 600
Overhead allocated to Cotton product line = ($1.8 × 120,000) + ( $390 × 600)
Overhead allocated to Cotton product line=$216,000 + $234,000
Overhead allocated to Cotton product line = $450,000
.
The overhead rate using traditional approach -
Overhead rate = Total overhead costs / Direct labor hours
Total overhead costs = Overhead allocated to Wool product line + Overhead allocated to Cotton product line
Total overhead costs = $684,000 + $450,000
Total overhead costs = $1,134,000
Direct labor hours = 540,000 hours
Overhead rate = $1,134,000/ 540,000
Overhead rate = $2.1 per direct labor hours
.
Overhead allocated to the Wool and cotton product line using the traditional approach , assuming direct labor hours were incurred evenly between the wool and cotton are as follows :-
Total Direct labor hours = 540,000 hours
We will divided the total direct labor hours by 2 as given that direct labors hours were incurred evenly between the wool and cotton.
Each product Direct labor hours = 540,000/2 = 270,000 hours
Overhead allocated to Wool product line = Overhead rate using traditional approach × Each product Direct labor hours
Overhead allocated to Wool product line = $2.1 × 270,000 hours
Overhead allocated to Wool product line = $567,000
Overhead allocated to Cotton product line = Overhead rate using traditional approach × Each product Direct labor hours
Overhead allocated to Cotton product line = $2.1 × 270,000 hours
Overhead allocated to Cotton product line = $567,000
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