A manufacturing firm would like to develop an aggregate plan for the next quarter Data related to the demand, capacity and cost are shown below Months Jan Feb March Demand 800 1000 900 Capacity Regular 700 700 700 Subcontracting 150 150 150 Overtime 100 100 100 Start inventory 0 Regular time cost Rs 1000 unit, Overtime cost Rs 1200 unit, Subcontracting cost Rs 1500 unit, Inventory carrying cost Rs 50 unit per month Solve this aggregate planning problem to minimize the total cost

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Question: A manufacturing firm would like to develop an aggregate plan for the next quarter. Data related to the demand, capacity and cost are shown below.

A manufacturing firm would like to develop an aggregate plan for the next quarter. Data related to the demand, capacity and cost are shown below.

Months	Jan	Feb	March
Demand	800	1000	900
Capacity
Regular	700	700	700
Subcontracting	150	150	150
Overtime	100	100	100
Start inventory	0

Regular time cost = Rs. 1000/unit, Overtime cost=Rs. 1200/unit, Subcontracting cost = Rs. 1500/unit, Inventory carrying cost = Rs. 50/unit per month. Solve this aggregate planning problem to minimize the total cost.

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