LMNO Gaskets has formulated a production plan for a product to meet demand over the upcoming three quarters. Demand in each of the three quarters and production, overtime, and subcontracting capacities are reported in the table below, in addition to the feasible production plan. The relevant costs are: Regular time production cost is $25/unit. Overtime production cost is $32/unit. Subcontracting cost is $34/unit. Inventory is held at a cost of $3/unit/quarter. Units may be backordered at a cost of $5/unit/quarter. Production Resource Demand in Quarter Capacity Q1 Q2 Q3 Regular Time Q1 600 0 0 600 Overtime Q1 200 50 0 250 Subcontract Q1 0 0 0 500 Regular Time Q2 0 600 0 600 Overtime Q2 0 250 0 250 Subcontract Q2 0 490 10 500 Regular Time Q3 60 0 540 600 Overtime Q3 40 60 140 250 Subcontract Q3 0 0 0 500 Demand in Quarter 900 1450 690   What is the inventory cost for the year? What is the backorder cost for the year? What is the total overtime production cost for the year? What is the total cost for the three periods?

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LMNO Gaskets has formulated a production plan for a product to meet demand over the upcoming three quarters. Demand in each of the three quarters and production, overtime, and subcontracting capacities are reported in the table below, in addition to the feasible production plan. The relevant costs are:

  • Regular time production cost is $25/unit.
  • Overtime production cost is $32/unit.
  • Subcontracting cost is $34/unit.
  • Inventory is held at a cost of $3/unit/quarter.
  • Units may be backordered at a cost of $5/unit/quarter.
Production Resource Demand in Quarter Capacity
Q1 Q2 Q3
Regular Time Q1 600 0 0 600
Overtime Q1 200 50 0 250
Subcontract Q1 0 0 0 500
Regular Time Q2 0 600 0 600
Overtime Q2 0 250 0 250
Subcontract Q2 0 490 10 500
Regular Time Q3 60 0 540 600
Overtime Q3 40 60 140 250
Subcontract Q3 0 0 0 500
Demand in Quarter 900 1450 690  


What is the inventory cost for the year?

What is the backorder cost for the year?

What is the total overtime production cost for the year?

What is the total cost for the three periods? 

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