The ABC Company has the following demand data (highlighted ingreen) for the last 2 years of sales for all models of theirpopular ToyPop product (in units):
- The company currently has five employees on the ToyPop line, eachcapable of producing approximately two ToyPops per day (assume 25days per month).
- Hiring and layoff are not considered for Year 2018.
- The employees each earn $20 per hour for the standard 8-hour day,with $10 extra per hour premium for each hour of overtime.
- They can subcontract the production of the polybob, but to do socosts them $42 per unit above the standard cost.
- They can use inventory, but inventory holding costs are $25 permonth per unit, based on the number of units in inventory at theend of the month. They have room for only 200 units in inventory,after which they must use a public storage facility, which addsanother $15 per month to the inventory holding cost.
- Backorder cost is $150 per month per unit.
- They currently have (as of the end of December 2017) 29 units ininventory.
Number of employees | 5 employees |
Production rate/employee/day | 2 units |
Number of days/month | 25 days |
Regular production cost/hour | $20 |
Number of regular hours/day | 8 hours |
Overtime premium/hour | $10 |
Overtime capacity/month/employee | 5 days |
Subcontracting premium/unit | $42 |
Holding cost/month/unit | $25 |
Inventory storage capacity | 200 units |
Public storage holding cost premium | $15 |
Beginning inventory | 29 units |
Backorder cost/unit | $150 |
Month | 2016 demand | 2017 demand |
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January | 232 | 254 |
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February | 301 | 325 |
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March | 422 | 398 |
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April | 355 | 369 |
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May | 296 | 324 |
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June | 288 | 298 |
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July | 233 | 255 |
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August | 194 | 242 |
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September | 274 | 256 |
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October | 244 | 266 |
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November | 221 | 235 |
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December | 247 | 249 |
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(a) Use the 2016 and 2017 demand data to develop a forecast for2018 annual demand (month by month) (fill in cells G6 to S6).
Assume the ABC Company uses the simple moving average method.
(b) Use your 2018 forecast data to develop a "best" aggregateplan (SOP) using the Level Capacity strategy. Start the planningfrom calculating the following parameters
1. What is the number of hours needed for producing one unit ofToypop?
2. What is the regular production cost per unit?
3. What is the maximum overtime capacity permonth?
4. What is the overtime cost per unit?
5. What is the subcontracting cost per unit?
Assuming the inventory at the end of the planning period (i.e.,end of Dec.) should be as low as possible, fill in the followingtable
| January | February | March | April | May | June | July | August | September | October | November | December | Total | Costs |
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2018 demand | | | | | | | | | | | | | | |
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Regular capacity | | | | | | | | | | | | | | |
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Overtime capacity | | | | | | | | | | | | | | |
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Subcontracting capacity | | | | | | | | | | | | | | |
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| | | | | | | | | | | | Total production quantity | | |
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Ending inventory | | | | | | | | | | | | | | |
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Backorder quantity | | | | | | | | | | | | | | |
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Inventory (internal) | | | | | | | | | | | | | | |
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Inventory (public storage) | | | | | | | | | | | | | | |
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| | | | | | | | | | | | | Total cost | |
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