13-36
1. Gerhart Company’s partial productivity ratios in 2012 are as follows:
Direct materials
partial productivity
=
Quantity of output produced in 2012
Yards of direct materials used in 2012
=
=
Conversion costs
partial productivity
=
Quantity of output produced in 2012
Units of manuf. capacity in 2012
=
=
0.98 wallets
per unit of
capacity
2,000,000 yards 2,520,000 units = 0.79365 yards per unit 2,646,000 units = 2,100,000 yards.
Manufacturing capacity = 3,307,500 units of capacity, because manufacturing capacity is fixed,
and adequate capacity existed in 2011 to produce year 2012 output.
Partial productivity calculations for 2011 based on year 2012 output (to make the partial
productivities comparable across the two years):
Direct materials
partial productivity
=
Quantity of output produced in 2012
Yards of direct materials that would
have been used in 2011 to produce
year 2012 output
=
=
Conversion costs
partial productivity
=
Quantity of output produced in 2012
Units of manufacturing capacity
that would have been used in
2011 to produce year 2012 output
=
=
0.8 wallets per
unit of capacity
The calculations indicate that Gerhart improved the partial productivity of direct materials and
conversion costs between 2011 and 2012 via efficiency improvements and by reducing unused
manufacturing capacity.
2. Gerhart Company management can use the partial productivity measures to set targets for
1.95 units of output per yard and if partial productivity of conversion costs improves to 1.25
units of output per unit of capacity. A major advantage of partial productivity measures is that