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Case Study – Merton Truck Company

Case Study                                                 Merton Truck Company

Submission Date                                            16-Oct-2009

Class                                                      EPGP– 09-10

Subject                                                    Decision Analysis


Instructor                                                 Prof. N. Ravichandran
                                                           Prof. Vinay


Submitted by
                                                           Rajendra Inani




                                                           Table of contents


Question 1 (a) Optimized Product Mix for Maximization of Profit................................................2
Question 1 (b) Increase in Engine Assembly Capacity by 1 Unit...................................................3
Question 1 (c) Additional Engine Assembly Capacity – 100 Units................................................6
Question 1 (d) Maximum Additional Engine Assembly Capacity..................................................8
..........................................................................................................................................................8
Question 2 Outsourcing - Additional Engine Assembly Capacity..................................................9
..........................................................................................................................................................9
Question 3(a) – Introduction of new model 103............................................................................11
Question 3(b) –New model 103 – Change in contribution............................................................13
Question 4 - Additional Capacity of 2000 Engine Ass. Hours......................................................15
........................................................................................................................................................15
Question 5 Model 101 production – 3 times Model 102...............................................................18
........................................................................................................................................................18


                                                                    Page 1 of 19
Case Study – Merton Truck Company



    Question 1 (a) Optimized Product Mix for
             Maximization of Profit




                                Page 2 of 19
Case Study – Merton Truck Company


Question 1 (b) Increase in Engine Assembly Capacity


   Model 101
   Model 102
   Total Contribution



   Production Units
                        1999

                        1001

                  2402000

   Increase by $ 2000




       Machine Hours
      requirement and
        Availability -
         Constraints


   Department
   Model 101
   Hours
   Model 102
   Hours
   Used capacity
   Hours
   Maxi Hours per month
   % Utilz
                                Page 3 of 19
Case Study – Merton Truck Company




                                Page 4 of 19
Case Study – Merton Truck Company




                                Page 5 of 19
Case Study – Merton Truck Company


Question 1 (c) Additional Engine Assembly Capacity –


   Model 101
   Model 102
   Total Contribution



   Production Units
   1900

   1100

   2600000

   Additional Contribution
   $ 200000




       Machine Hours
      requirement and
        Availability -
         Constraints


   Department
   Model 101
   Hours
   Model 102
   Hours
   Used capacity
   Hours
                                Page 6 of 19
Case Study – Merton Truck Company




                                Page 7 of 19
Case Study – Merton Truck Company


Question 1 (d) Maximum Additional Engine Assembly




   Model 101
   Model 102
   Total Contribution



   Production Units
   1500

   1500

   3400000

   Additional Contribution
   $ 1000000




       Machine Hours
      requirement and
        Availability -
         Constraints


   Department
   Model 101
   Hours
   Model 102
                                Page 8 of 19
Case Study – Merton Truck Company


Question 2 Outsourcing - Additional Engine Assembly




   Model 101
   Model 102
   Total Contribution



   Production Units
   1500
   1500
   3187500
   Additional Contribution
   $ 787500
   *Rate to be paid to
   vendor $ 3725 per
   hours




       Machine Hours
      requirement and
        Availability -
         Constraints


   Department
   Model 101
   Hours
   Model 102
                                Page 9 of 19
Case Study – Merton Truck Company




                                Page 10 of 19
Case Study – Merton Truck Company




Question 3(a) – Introduction of new model 103
                        Model 101      Model 102        Model 103        Total
                                                                         Contribution
Production Units        2000           1000             0                2400000        Not
                                                                                        Profitable


                        Machine Hours requirement and Availability - Constraints
Department              Model 101 Model 102       Model 103       Used                  Maxi         % Utilz
                        Hours       Hours         Hours           capacity              Hours per
                                                                  Hours                 month
Engine Assembly                    1                2             0.8            4000         4000       100
Metal Stamping                     2                2             1.5            6000         6000       100
Model 101 assembly                 2                                1            4000         5000        80
Model 102 assembly                                  3                            3000         4500     66.66


                             Calculation of Cost and Contribution
Standard Product        Model         Model 102 / Model 103 /            Total for
Costs                   101 / Unit    Unit           Unit                Production
Direct Material                24000           20000                        68000000
Direct Labor                    4000            4500                        12500000
Overhead -Fixed                                                              8600000
Overhead - Variable             8000            8500            5230        24500000
Total cost / Unit              36000           33000            5230       113600000
Selling price / unit           39000           38000            7230       116000000
Per Unit Contribution
before F/OH                     3000            5000            2000


                                 Overhead Calculations (US $)
Department                F OH per        V OH /Unit        V OH /Unit        V OH /Unit


                                              Page 11 of 19
Case Study – Merton Truck Company
                      month    model 101    model 102   model 103
                     1700000
Engine Assembly                     2100        4000      1680
                     2700000
Metal Stamping                      2400        2000      1800
Model 101/103        2700000
assembly                            3500                  1750
                     1500000
Model 102 assembly                              2500
                     8600000
Total Overheads                     8000        8500      5230




                                Page 12 of 19
Case Study – Merton Truck Company




Question 3(b) –New model 103 – Change in
contribution
                        Model 101    Model 102       Model 103   Total
                                                                 Contribution
Production Units        0            857             2857        2402857         Beneficial
                                                                                 Contribution
                                                                                 $2351

                        Machine Hours requirement and Availability - Constraints
Department              Model 101 Model 102      Model 103       Used            Maxi Hours     % Utilz
                        Hours      Hours         Hours           capacity        per month
                                                                 Hours
                        1          2             0.8             4000            4000           100
Engine Assembly
                        2            2               1.5         6000            6000           100
Metal Stamping
                        2                            1           2857.14         5000.00        57.14
Model 101 assembly
                                     3                           2571.43         4500.00        57.14
Model 102 assembly



                              Calculation of Cost and Contribution
Standard Product        Model         Model 102 / Model 103 / Total for
Costs                   101 / Unit    Unit           Unit          Production
                        24000         20000                        17142857.14
Direct Material
                        4000         4500                        3857142.857
Direct Labor
                                                                 8600000
Overhead -Fixed
                        8000         8500            5230        22228571.43
Overhead - Variable
                        36000        33000           5230        51828571.43
Total cost / Unit
                        39000        38000           7581        54231428.57
Selling price / unit
Per Unit Contribution   3000         5000            2351
before F/OH



                                            Page 13 of 19
Case Study – Merton Truck Company
                               Overhead Calculations (US $)

Department            F OH per        V OH /Unit    V OH /Unit   V OH /Unit
                      month           model 101     model 102    model 103
                     1700000
Engine Assembly                           2100          4000       1680
                     2700000
Metal Stamping                            2400          2000       1800
Model 101/103        2700000
assembly                                  3500                     1750
                     1500000
Model 102 assembly                                      2500
                     8600000
Total Overheads                           8000          8500       5230




                                        Page 14 of 19
Case Study – Merton Truck Company


Question 4 - Additional Capacity of 2000 Engine Ass.


   Model 101
   Model 102
   Total Contribution



   Production Units
   1500

   1500

   2350000

   Additional Contribution
   - $ 50000




       Machine Hours
      requirement and
        Availability -
         Constraints


   Department
   Model 101
   Hours
   Model 102
   Hours
   Used capacity
                                Page 15 of 19
Case Study – Merton Truck Company




                                Page 16 of 19
Case Study – Merton Truck Company




                                Page 17 of 19
Case Study – Merton Truck Company


Question 5 Model 101 production – 3 times Model 102


   Model 101
   Model 102
   Total Contribution



   Production Units
   2250
   750
   1900000
   Additional Contribution
   - $ 500000




       Machine Hours
      requirement and
         Availability


   Department
   Model 101
   Hours
   Model 102
   Hours
   Used capacity
   Hours
   Maxi Hours per month
   % Utilz

                                Page 18 of 19
Case Study – Merton Truck Company

                   **************End of assignment *****************




                                  Page 19 of 19

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Da merton truck company case study

  • 1. Case Study – Merton Truck Company Case Study Merton Truck Company Submission Date 16-Oct-2009 Class EPGP– 09-10 Subject Decision Analysis Instructor Prof. N. Ravichandran Prof. Vinay Submitted by Rajendra Inani Table of contents Question 1 (a) Optimized Product Mix for Maximization of Profit................................................2 Question 1 (b) Increase in Engine Assembly Capacity by 1 Unit...................................................3 Question 1 (c) Additional Engine Assembly Capacity – 100 Units................................................6 Question 1 (d) Maximum Additional Engine Assembly Capacity..................................................8 ..........................................................................................................................................................8 Question 2 Outsourcing - Additional Engine Assembly Capacity..................................................9 ..........................................................................................................................................................9 Question 3(a) – Introduction of new model 103............................................................................11 Question 3(b) –New model 103 – Change in contribution............................................................13 Question 4 - Additional Capacity of 2000 Engine Ass. Hours......................................................15 ........................................................................................................................................................15 Question 5 Model 101 production – 3 times Model 102...............................................................18 ........................................................................................................................................................18 Page 1 of 19
  • 2. Case Study – Merton Truck Company Question 1 (a) Optimized Product Mix for Maximization of Profit Page 2 of 19
  • 3. Case Study – Merton Truck Company Question 1 (b) Increase in Engine Assembly Capacity Model 101 Model 102 Total Contribution Production Units 1999 1001 2402000 Increase by $ 2000 Machine Hours requirement and Availability - Constraints Department Model 101 Hours Model 102 Hours Used capacity Hours Maxi Hours per month % Utilz Page 3 of 19
  • 4. Case Study – Merton Truck Company Page 4 of 19
  • 5. Case Study – Merton Truck Company Page 5 of 19
  • 6. Case Study – Merton Truck Company Question 1 (c) Additional Engine Assembly Capacity – Model 101 Model 102 Total Contribution Production Units 1900 1100 2600000 Additional Contribution $ 200000 Machine Hours requirement and Availability - Constraints Department Model 101 Hours Model 102 Hours Used capacity Hours Page 6 of 19
  • 7. Case Study – Merton Truck Company Page 7 of 19
  • 8. Case Study – Merton Truck Company Question 1 (d) Maximum Additional Engine Assembly Model 101 Model 102 Total Contribution Production Units 1500 1500 3400000 Additional Contribution $ 1000000 Machine Hours requirement and Availability - Constraints Department Model 101 Hours Model 102 Page 8 of 19
  • 9. Case Study – Merton Truck Company Question 2 Outsourcing - Additional Engine Assembly Model 101 Model 102 Total Contribution Production Units 1500 1500 3187500 Additional Contribution $ 787500 *Rate to be paid to vendor $ 3725 per hours Machine Hours requirement and Availability - Constraints Department Model 101 Hours Model 102 Page 9 of 19
  • 10. Case Study – Merton Truck Company Page 10 of 19
  • 11. Case Study – Merton Truck Company Question 3(a) – Introduction of new model 103 Model 101 Model 102 Model 103 Total Contribution Production Units 2000 1000 0 2400000 Not Profitable Machine Hours requirement and Availability - Constraints Department Model 101 Model 102 Model 103 Used Maxi % Utilz Hours Hours Hours capacity Hours per Hours month Engine Assembly 1 2 0.8 4000 4000 100 Metal Stamping 2 2 1.5 6000 6000 100 Model 101 assembly 2 1 4000 5000 80 Model 102 assembly 3 3000 4500 66.66 Calculation of Cost and Contribution Standard Product Model Model 102 / Model 103 / Total for Costs 101 / Unit Unit Unit Production Direct Material 24000 20000 68000000 Direct Labor 4000 4500 12500000 Overhead -Fixed 8600000 Overhead - Variable 8000 8500 5230 24500000 Total cost / Unit 36000 33000 5230 113600000 Selling price / unit 39000 38000 7230 116000000 Per Unit Contribution before F/OH 3000 5000 2000 Overhead Calculations (US $) Department F OH per V OH /Unit V OH /Unit V OH /Unit Page 11 of 19
  • 12. Case Study – Merton Truck Company month model 101 model 102 model 103 1700000 Engine Assembly 2100 4000 1680 2700000 Metal Stamping 2400 2000 1800 Model 101/103 2700000 assembly 3500 1750 1500000 Model 102 assembly 2500 8600000 Total Overheads 8000 8500 5230 Page 12 of 19
  • 13. Case Study – Merton Truck Company Question 3(b) –New model 103 – Change in contribution Model 101 Model 102 Model 103 Total Contribution Production Units 0 857 2857 2402857 Beneficial Contribution $2351 Machine Hours requirement and Availability - Constraints Department Model 101 Model 102 Model 103 Used Maxi Hours % Utilz Hours Hours Hours capacity per month Hours 1 2 0.8 4000 4000 100 Engine Assembly 2 2 1.5 6000 6000 100 Metal Stamping 2 1 2857.14 5000.00 57.14 Model 101 assembly 3 2571.43 4500.00 57.14 Model 102 assembly Calculation of Cost and Contribution Standard Product Model Model 102 / Model 103 / Total for Costs 101 / Unit Unit Unit Production 24000 20000 17142857.14 Direct Material 4000 4500 3857142.857 Direct Labor 8600000 Overhead -Fixed 8000 8500 5230 22228571.43 Overhead - Variable 36000 33000 5230 51828571.43 Total cost / Unit 39000 38000 7581 54231428.57 Selling price / unit Per Unit Contribution 3000 5000 2351 before F/OH Page 13 of 19
  • 14. Case Study – Merton Truck Company Overhead Calculations (US $) Department F OH per V OH /Unit V OH /Unit V OH /Unit month model 101 model 102 model 103 1700000 Engine Assembly 2100 4000 1680 2700000 Metal Stamping 2400 2000 1800 Model 101/103 2700000 assembly 3500 1750 1500000 Model 102 assembly 2500 8600000 Total Overheads 8000 8500 5230 Page 14 of 19
  • 15. Case Study – Merton Truck Company Question 4 - Additional Capacity of 2000 Engine Ass. Model 101 Model 102 Total Contribution Production Units 1500 1500 2350000 Additional Contribution - $ 50000 Machine Hours requirement and Availability - Constraints Department Model 101 Hours Model 102 Hours Used capacity Page 15 of 19
  • 16. Case Study – Merton Truck Company Page 16 of 19
  • 17. Case Study – Merton Truck Company Page 17 of 19
  • 18. Case Study – Merton Truck Company Question 5 Model 101 production – 3 times Model 102 Model 101 Model 102 Total Contribution Production Units 2250 750 1900000 Additional Contribution - $ 500000 Machine Hours requirement and Availability Department Model 101 Hours Model 102 Hours Used capacity Hours Maxi Hours per month % Utilz Page 18 of 19
  • 19. Case Study – Merton Truck Company **************End of assignment ***************** Page 19 of 19