3) Gang Aft Agley, a manufacturing company, faces the aggregate planning problem shown in the table below. Cost of regular production is $5 per unit, the cost of producing the same unit on overtime is $7, the cost of subcontracting is $8 per unit, and the cost of carrying a unit in inventory from one month to the next is $2. January February March April May Forecast 500 750 1200 650 300 Beginning Inventory 100 Regular Time Overtime Subcontracting Ending Inventory The labor contract at the plant prohibits both overtime and subcontracting output to exceed 300 units in any five month window. The plant capacity is 500 units per month produced using two shifts, regardless of the number of days in a month. By policy, management wants to avoid stockouts. Formulate the aggregate plan using linear programming and solve it using Solver.
3) Gang Aft Agley, a manufacturing company, faces the aggregate planning problem shown in the table below. Cost of regular production is $5 per unit, the cost of producing the same unit on overtime is $7, the cost of subcontracting is $8 per unit, and the cost of carrying a unit in inventory from one month to the next is $2.
|
|
January |
February |
March |
April |
May |
|
|
500 |
750 |
1200 |
650 |
300 |
|
Beginning Inventory |
100 |
|
|
|
|
|
Regular Time |
|
|
|
|
|
|
Overtime |
|
|
|
|
|
|
Subcontracting |
|
|
|
|
|
|
Ending Inventory |
|
|
|
|
|
The labor contract at the plant prohibits both overtime and subcontracting output to exceed 300 units in any five month window. The plant capacity is 500 units per month produced using two shifts, regardless of the number of days in a month. By policy, management wants to avoid stockouts. Formulate the aggregate plan using linear programming and solve it using Solver.
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