A newly opened BackPack Company in Kitwe, produces a line of backpacks. The manager, Jill Bwalya,  is interested in using a level aggregate plan. Inventories and back orders will be used to handle  demand fluctuations. Given the following data below;  Cost data Regular-time labour cost per hour                        K10.00 Overtime labour cost per hour                              K15.00 Subcontracting cost per unit (labour only)           K84.00 Holding cost per unit per period                          K10.00 Back-order cost per unit per period                    K20.00 Hiring cost per employee                                   K600.00 Firing cost per employee                                    K450.00 Capacity data Beginning workforce                                  210 employees Beginning inventory                                  400 units Labour standard per unit                          6 hours Regular time available per period            160 hours       Overtime available per period                  32 hours Subcontracting maximum per period       1000 units Subcontracting minimum per period        500 units Demand data Period 1      6000 units Period 2      4800 units Period 3     7840 units Period 4     5200 units Period 5     6560 units Period 6     3600 units She has asked you to develop such a plan.  a) Calculate the aggregate production rate.  b) Calculate the appropriate workforce given the aggregate production rate.  c) Calculate the costs of this plan.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A newly opened BackPack Company in Kitwe, produces a line of backpacks. The manager, Jill Bwalya, 
is interested in using a level aggregate plan. Inventories and back orders will be used to handle 
demand fluctuations. Given the following data below; 
Cost data
Regular-time labour cost per hour                        K10.00
Overtime labour cost per hour                              K15.00
Subcontracting cost per unit (labour only)           K84.00
Holding cost per unit per period                          K10.00
Back-order cost per unit per period                    K20.00
Hiring cost per employee                                   K600.00
Firing cost per employee                                    K450.00
Capacity data
Beginning workforce                                  210 employees
Beginning inventory                                  400 units
Labour standard per unit                          6 hours
Regular time available per period            160 hours      
Overtime available per period                  32 hours
Subcontracting maximum per period       1000 units
Subcontracting minimum per period        500 units
Demand data
Period 1      6000 units
Period 2      4800 units
Period 3     7840 units
Period 4     5200 units
Period 5     6560 units
Period 6     3600 units
She has asked you to develop such a plan. 
a) Calculate the aggregate production rate. 
b) Calculate the appropriate workforce given the aggregate production rate. 
c) Calculate the costs of this plan. 

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