QUESTION 1 (PRODUCTIVITY) A company has introduced a process improvement that reduces processing time for each unit so that output is increased by 25% with less material but one additional worker required. Under the old process, five workers could produce 60 units per hour. Labor costs are $12/hour, and material input was $16/unit. For the new process, material is now $10/unit. Overhead is charged at 1.6 times direct labor cost. Finished units sell for $31 each. a) Compute single factor productivity of labor in the old system. (Compute it in four possible ways.) b) Compute all factor productivity for both old and new systems. Factor Output # of workers Worker cost Material Overhead Price Old System 60 5 $12/hr $16/unit 1.6(labor cost) 31 New System 60(1.25)=75 6 $12/hr $10/unit 1.6(labor cost) 31
QUESTION 1 (PRODUCTIVITY) A company has introduced a process improvement that reduces processing time for each unit so that output is increased by 25% with less material but one additional worker required. Under the old process, five workers could produce 60 units per hour. Labor costs are $12/hour, and material input was $16/unit. For the new process, material is now $10/unit. Overhead is charged at 1.6 times direct labor cost. Finished units sell for $31 each. a) Compute single factor productivity of labor in the old system. (Compute it in four possible ways.) b) Compute all factor productivity for both old and new systems. Factor Output # of workers Worker cost Material Overhead Price Old System 60 5 $12/hr $16/unit 1.6(labor cost) 31 New System 60(1.25)=75 6 $12/hr $10/unit 1.6(labor cost) 31
Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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production and operation management

Transcribed Image Text:QUESTION 1 (PRODUCTIVITY)
A company has introduced a process improvement that reduces processing time for each unit so
that output is increased by 25% with less material but one additional worker required.
Under the old process, five workers could produce 60 units per hour. Labor costs are $12/hour,
and material input was $16/unit. For the new process, material is now $10/unit. Overhead is
charged at 1.6 times direct labor cost. Finished units sell for $31 each.
a) Compute single factor productivity of labor in the old system. (Compute it in four possible
ways.)
b) Compute all factor productivity for both old and new systems.
Factor
Output
# of workers
Worker cost
Material
Overhead
Price
Old System
60
5
$12/hr
$16/unit
1.6(labor cost)
31
New System
60(1.25) = 75
6
$12/hr
$10/unit
1.6(labor cost)
31
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