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Cost Management
  ACCOUNTING AND CONTROL




HANSEN & MOWEN


                           15-1
15
Productivity Measurement and Control




                                       15-2
Productive Efficiency                        1


                     Productivity is concerned
                      with producing output
                         efficiently, and it
                     specifically addresses the
                    relationship of output and
                    the inputs used to produce
                            the outputs.


                                                  15-3
Productive Efficiency                                   1
Total productive efficiency is the point at which two
conditions are satisfied:

 (1) For any mix of inputs that will produce a
     given output, no more of any one input is
     used than necessary to produce the output.
 (2) Given the mixes that satisfy the first
     condition, the least costly mix is chosen.




                                                        15-4
Productive Efficiency                                          1

 Technical Efficiency is the condition where no more of any one
 input is used than necessary to produce a given output.
    Technical efficiency improvement is when less inputs are used
    to produce the same output or more output are produced
    using the same input.




                                                                15-5
Productive Efficiency   1




                        15-6
Productive Efficiency   1




                        15-7
Productive Efficiency   1




                        15-8
Productive Efficiency   1




                        15-9
Productive Efficiency                               1




 Of the two combinations that produce the same output,
 the least costly combination would be chosen.

                                                     15-10
Partial Productivity Measurement                    2

Productive measurement—
 is a quantitative assessment of productivity
changes
 can be actual or prospective
 is forward looking
 serves as input for strategic decision making
 allows managers to compare relative benefits of
  different input combinations


                                                    15-11
Partial Productivity Measurement                2

   Partial Productivity Measure: Measuring
    productivity for one input at a time.
         Productivity ratio = Output/Input
   Operational Productivity Measure: Partial
    measure where both input and output are
    expressed in physical terms.
   Financial Productivity Measure: Partial
    measure where both input and output are
    expressed in dollars.



                                                15-12
Total Productivity Measurement                                  3
                                           2006          2007
Number of frames produced               240,000
                                        250,000
Labor hours used                         60,000
                                         50,000
Materials used (lbs.)                 1,200,000
                Productivity Measurement: Profile
                                      1,150,000
               Analysis, No Trade-Offs
                                240,000/60,000 250,000/50,000
                                                250,000/1,150,000
                                240,000/1,200,000




                                                                15-13
Total Productivity Measurement                               3
                                          2006        2007
Number of frames produced               240,000
                                        250,000
Labor hours used                         60,000
                                         50,000
Materials used (lbs.)                 1,200,000
                Productivity Measurement: Profile
                                      1,150,000
               Analysis with Trade-Offs        250,000/50,000
                                             250,000/1,300,000




                                                             15-14
Total Productivity Measurement                                3

Profit-Linkage Rule: For the current period,
calculate the cost of the inputs that would have been
used in the absence of any productivity change, and
compare this cost with the cost of the inputs actually
used. The difference in costs is the amount by which
profits changed because of productivity changes.

 To compute the inputs that would have been used (PQ), use
 the following formula:
  PQ = Current-period Output/Base-period productivity ratio




                                                              15-15
Total Productivity Measurement                        3


                                 2006        2007
Number of frames produced       240,000     250,000
Labor hours used                 60,000      50,000
Materials used (lbs.)         1,200,000   1,300,000
Unit selling price (frames)         $30         $30
Wages per labor hour                $15         $15
Cost per pound of material           $3       $3.50



                                                      15-16
Total Productivity Measurement                             3

     PQ (labor) = 250,000/4 = 62,500 hrs.
     PQ (materials) = 250,000/0.200 = 1,250,000 lbs.


  Cost of labor: (62,500 x $15) =            $ 937,500
  Cost of materials: (1,250,000 x $3.50) =    4,375,000
  Total PQ cost                              $5,312,500
  The actual cost of inputs:
  Cost of labor: (50,000 x $15) =             $ 750,000
  Cost of materials: (1,300,000 x $3.50) =     4,550,000
  Total current cost                         $5,300,000

                                                           15-17
Total Productivity Measurement                              3


Profit-linked effect = Total PQ cost – Total current cost

                    = $5,312,500 – $5,300,000

                    = $12,500 increase in profits

        The net effect of the process change was
    favorable. Profits increased $12,500 because of
                 productivity changes.



                                                            15-18
Total Productivity Measurement                    3
         Profit-Linked Productivity Measurement




       250,000/4
     250,000/0.200




                                                  15-19
Measuring Changes in Activity
and Process Efficiency                              4
               Activity Productivity Model




                  Output and Input Measures



                         Output/Input


               Profile and Profit-Linked Analyses
                                                    15-20
Measuring Changes in Activity
and Process Efficiency                         4


                                  2006     2007
Number of purchase orders        200,000
                                 240,000
Material used (lbs.)              50,000
                                  50,000
Labor used (number of workers)       40
                                     30
Cost per pound of material            $1
                                   $0.80
Cost (salary) per worker         $30,000
                                 $33,000          15-21
Measuring Changes in Activity
and Process Efficiency                                                 4
                          Activity Productivity Analysis Illustrated




*Materials: 240,000/4; Labor: 240,000/5,000.




                                                                       15-22
Measuring Changes in Activity
and Process Efficiency                                   4
      Process Productivity: Activity Output Efficiency




                   Output and Input Measures



                          Output/Input


                Profile and Profit-Linked Analyses
                                                         15-23
Measuring Changes in Activity
and Process Efficiency                                  4
   Productivity Data: Sales Process, Carthage Company




                         Continued




                                                        15-24
Measuring Changes in Activity
and Process Efficiency                                  4
   Productivity Data: Sales Process, Carthage Company




                                                        15-25
Measuring Changes in Activity
and Process Efficiency                                     4
   Resource Efficiency Component (Activity Productivity)
A. Making Sales Calls




                           Continued

                                                           15-26
Measuring Changes in Activity
and Process Efficiency                                      4
    Resource Efficiency Component (Activity Productivity)
B. Handling Objections




                                                            15-27
Measuring Changes in Activity
and Process Efficiency                                                4
                                     Activity Output Efficiency and
                                     Total Process Productivity
A. Activity Output Efficiency




 20,000/50,000; 25,000/40,000.
 a


 b   20,000/25,000; 25,000/10,000.



                                               Continued




                                                                      15-28
Measuring Changes in Activity
and Process Efficiency                                                     4
                                          Activity Output Efficiency and
                                          Total Process Productivity
A. Activity Output Efficiency




 *25,000/0.4; 25,000/0.8.
 Note: P is the activity rate for 2007.




                                                     Continued



                                                                           15-29
Measuring Changes in Activity
and Process Efficiency                                 4
                      Activity Output Efficiency and
                      Total Process Productivity
B. Total Process Productivity




                                                       15-30
Measuring Changes in Activity
and Process Efficiency                     4

    Improving quality may improve
 productivity. If rework is reduced by
 producing fewer defective units, then
less labor and few materials are used to
produce the same output. Reducing the
  number of defective units improves
 quality; reducing the amount of inputs
      used to improve productivity.




                                           15-31
End of
Chapter 15




             15-32

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Chapter15 pp ts

  • 1. Cost Management ACCOUNTING AND CONTROL HANSEN & MOWEN 15-1
  • 3. Productive Efficiency 1 Productivity is concerned with producing output efficiently, and it specifically addresses the relationship of output and the inputs used to produce the outputs. 15-3
  • 4. Productive Efficiency 1 Total productive efficiency is the point at which two conditions are satisfied: (1) For any mix of inputs that will produce a given output, no more of any one input is used than necessary to produce the output. (2) Given the mixes that satisfy the first condition, the least costly mix is chosen. 15-4
  • 5. Productive Efficiency 1 Technical Efficiency is the condition where no more of any one input is used than necessary to produce a given output. Technical efficiency improvement is when less inputs are used to produce the same output or more output are produced using the same input. 15-5
  • 10. Productive Efficiency 1 Of the two combinations that produce the same output, the least costly combination would be chosen. 15-10
  • 11. Partial Productivity Measurement 2 Productive measurement—  is a quantitative assessment of productivity changes  can be actual or prospective  is forward looking  serves as input for strategic decision making  allows managers to compare relative benefits of different input combinations 15-11
  • 12. Partial Productivity Measurement 2  Partial Productivity Measure: Measuring productivity for one input at a time.  Productivity ratio = Output/Input  Operational Productivity Measure: Partial measure where both input and output are expressed in physical terms.  Financial Productivity Measure: Partial measure where both input and output are expressed in dollars. 15-12
  • 13. Total Productivity Measurement 3 2006 2007 Number of frames produced 240,000 250,000 Labor hours used 60,000 50,000 Materials used (lbs.) 1,200,000 Productivity Measurement: Profile 1,150,000 Analysis, No Trade-Offs 240,000/60,000 250,000/50,000 250,000/1,150,000 240,000/1,200,000 15-13
  • 14. Total Productivity Measurement 3 2006 2007 Number of frames produced 240,000 250,000 Labor hours used 60,000 50,000 Materials used (lbs.) 1,200,000 Productivity Measurement: Profile 1,150,000 Analysis with Trade-Offs 250,000/50,000 250,000/1,300,000 15-14
  • 15. Total Productivity Measurement 3 Profit-Linkage Rule: For the current period, calculate the cost of the inputs that would have been used in the absence of any productivity change, and compare this cost with the cost of the inputs actually used. The difference in costs is the amount by which profits changed because of productivity changes. To compute the inputs that would have been used (PQ), use the following formula: PQ = Current-period Output/Base-period productivity ratio 15-15
  • 16. Total Productivity Measurement 3 2006 2007 Number of frames produced 240,000 250,000 Labor hours used 60,000 50,000 Materials used (lbs.) 1,200,000 1,300,000 Unit selling price (frames) $30 $30 Wages per labor hour $15 $15 Cost per pound of material $3 $3.50 15-16
  • 17. Total Productivity Measurement 3 PQ (labor) = 250,000/4 = 62,500 hrs. PQ (materials) = 250,000/0.200 = 1,250,000 lbs. Cost of labor: (62,500 x $15) = $ 937,500 Cost of materials: (1,250,000 x $3.50) = 4,375,000 Total PQ cost $5,312,500 The actual cost of inputs: Cost of labor: (50,000 x $15) = $ 750,000 Cost of materials: (1,300,000 x $3.50) = 4,550,000 Total current cost $5,300,000 15-17
  • 18. Total Productivity Measurement 3 Profit-linked effect = Total PQ cost – Total current cost = $5,312,500 – $5,300,000 = $12,500 increase in profits The net effect of the process change was favorable. Profits increased $12,500 because of productivity changes. 15-18
  • 19. Total Productivity Measurement 3 Profit-Linked Productivity Measurement 250,000/4 250,000/0.200 15-19
  • 20. Measuring Changes in Activity and Process Efficiency 4 Activity Productivity Model Output and Input Measures Output/Input Profile and Profit-Linked Analyses 15-20
  • 21. Measuring Changes in Activity and Process Efficiency 4 2006 2007 Number of purchase orders 200,000 240,000 Material used (lbs.) 50,000 50,000 Labor used (number of workers) 40 30 Cost per pound of material $1 $0.80 Cost (salary) per worker $30,000 $33,000 15-21
  • 22. Measuring Changes in Activity and Process Efficiency 4 Activity Productivity Analysis Illustrated *Materials: 240,000/4; Labor: 240,000/5,000. 15-22
  • 23. Measuring Changes in Activity and Process Efficiency 4 Process Productivity: Activity Output Efficiency Output and Input Measures Output/Input Profile and Profit-Linked Analyses 15-23
  • 24. Measuring Changes in Activity and Process Efficiency 4 Productivity Data: Sales Process, Carthage Company Continued 15-24
  • 25. Measuring Changes in Activity and Process Efficiency 4 Productivity Data: Sales Process, Carthage Company 15-25
  • 26. Measuring Changes in Activity and Process Efficiency 4 Resource Efficiency Component (Activity Productivity) A. Making Sales Calls Continued 15-26
  • 27. Measuring Changes in Activity and Process Efficiency 4 Resource Efficiency Component (Activity Productivity) B. Handling Objections 15-27
  • 28. Measuring Changes in Activity and Process Efficiency 4 Activity Output Efficiency and Total Process Productivity A. Activity Output Efficiency 20,000/50,000; 25,000/40,000. a b 20,000/25,000; 25,000/10,000. Continued 15-28
  • 29. Measuring Changes in Activity and Process Efficiency 4 Activity Output Efficiency and Total Process Productivity A. Activity Output Efficiency *25,000/0.4; 25,000/0.8. Note: P is the activity rate for 2007. Continued 15-29
  • 30. Measuring Changes in Activity and Process Efficiency 4 Activity Output Efficiency and Total Process Productivity B. Total Process Productivity 15-30
  • 31. Measuring Changes in Activity and Process Efficiency 4 Improving quality may improve productivity. If rework is reduced by producing fewer defective units, then less labor and few materials are used to produce the same output. Reducing the number of defective units improves quality; reducing the amount of inputs used to improve productivity. 15-31