Answer:
A) <u>Summary of physical units and equivalent units</u>
Units to be accounted for Physical units
Beginning WIP 7,000
Units started <u>108,000</u>
Total units to be accounted for 115,000
Units accounted for Phys. units Materials Conversion
Beginning WIP 7,000 $56,000 $25,970
Units started <u> 108,000 $869,400 $551,408 </u>
Subtotal 115,000 $925,400 $577,378
Units transferred out <u> 109,200 $878,710 $567,691</u>
Ending WIP 5,800 $46,690 $9,687
<u>Summary of costs to be accounted for</u>
Costs to be accounted for: Materials Conversion Total
Beginning WIP $56,000 $25,970 $81,970
Costs incurred in the period <u>$869,400 $551,408 $1,420,808</u>
Total costs to be accounted for $925,400 $577,378 $1,502,778
<u>Calculation of cost per equivalent unit</u>
Materials Conversion Total
Costs incurred in the period $869,400 $551,408 $1,420,808
Total equivalent units <u> 108,000 99,040 </u>
Cost per equivalent unit $8.05 $5.567528 $13.617528
<u>Cost allocation</u>
Materials Conversion Total
Units finished and transferred $878,710 $567,691 $1,446,401
Ending WIP <u> $46,690 $9,687 $56,377 </u>
Total costs to be accounted for $925,400 $577,378 $1,502,778
B) Materials cost per equivalent unit increased slightly during the period from $8 per EU to $8.05 per EU (0.6% increase). Conversion costs also increased during the period from $5.30 per EU to $5.567528 per EU (5% increase).
Explanation:
beginning WIP 7,000 units
100% completed for materials
70% completed for conversion costs (30% added in this period = 2,100 EU)
beginning WIP costs
materials $81,970
conversion $56,000
units started 108,000
materials added during the period $869,400
conversion costs $551,408
units finished 109,200
units started and finished = 108,000 - 7,000 - 5,800 = 95,200
ending WIP 5,800
100% complete for materials
30% complete for conversion costs (1,740 EU)
total EU:
materials 108,000
conversion 2,100 + 95,200 + 1,740 = 99,040
cost per EU:
materials $869,400 / 108,000 = $8.05
conversion $551,408 / 99,040 = $5.567528
total = $13.617528
ending WIP costs:
5,800 x $8.05 = $46,690
1,740 x $5.567528 = $9,687
total = $56,377
costs of finished units:
(102,200 x $8.05) + $56,000 = $878,710
(95,200 x $5.567528) + (2,100 x $5.567528) + $25,970 = $567,691
total = $1,446,401