Answer:
1) production cost per unit (Q2) = $187
production cost per unit (Q3) = $337
2) production cost per unit (Q2) = $201
production cost per unit (Q3) = $201
3) Capitola should allocate manufacturing costs based on total annual production because if it allocates them on a quarterly basis, the unit costs in the quarters were production is lower will be much higher. E.g. in Q3 only 100 units were produced, therefore production costs are 80% higher than Q2 costs. If costs are allocated on an annual basis, then production costs will be stable and the company will benefit. The company actually lost money when it sold its production during quarters 1 and 2 since overhead costs were not correctly applied.
Step-by-step explanation:
Quarter
1 2 3 4
Units produced 500 400 100 250
costs per unit:
- 2 labor hours x $20 = $40
- direct materials = $65
- variable overhead = $16
total = $121 per unit
fixed overhead = $20,000
1) total production costs second quarter:
materials = 400 x $65 = $26,000
direct labor = 400 x $40 = $16,000
variable overhead = 400 x 2 x $16 = $12,800
fixed overhead = $20,000
total = $74,800
production cost per unit (Q2) = $187
total production costs third quarter:
materials = 100 x $65 = $6,500
direct labor = 100 x $40 = $4,000
variable overhead = 100 x 2 x $16 = $3,200
fixed overhead = $20,000
total = $33,700
production cost per unit (Q3) = $337
2) total production costs second quarter:
materials = 400 x $65 = $26,000
direct labor = 400 x $40 = $16,000
variable overhead = 400 x 2 x $16 = $12,800
fixed overhead = ($80,000 / 1,250) x 400 = $25,600
total = $80,400
production cost per unit (Q2) = $201
total production costs third quarter:
materials = 100 x $65 = $6,500
direct labor = 100 x $40 = $4,000
variable overhead = 100 x 2 x $16 = $3,200
fixed overhead = ($80,000 / 1,250) x 100 = $6,400
total = $20,100
production cost per unit (Q3) = $201