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Suppose that demand data for widgets made by XYZ Inc is given below. Using an ap

ID: 2498262 • Letter: S

Question

Suppose that demand data for widgets made by XYZ Inc is given below. Using an appropriate method (chase, level or mixed), plan the production i.e. specify the production quantities and complete the table below.. If holding cost per unit per month = 0.50, and shortage cost is $2.00 per unit per period, (short units must be supplied at a later period: You may have no shortage in the end, unless you have no capacity in any period to avoid shortage). What is the total inventory holding cost (use ending inventory to calculate this cost.)? Capacity is 7000 per month and all production costs are fixed costs.

January

February

March

April

Demand

4000

10000

2000

7000

Beginning Inventory

1000

Production

Shipments

Shortage

Ending Inventory

1000

Shortage cost

Inventory holding cost

Total cost of your plan:

January

February

March

April

Demand

4000

10000

2000

7000

Beginning Inventory

1000

Production

Shipments

Shortage

Ending Inventory

1000

Shortage cost

Inventory holding cost

Explanation / Answer

Using a mix level plan

Tptal inventory holding cost = 1500+500+500 = 2500

January February March April Demand 4000 10000 2000 7000 Beginning Inventory 1000 3000 0 1000 Production 6000 7000 3000 7000 Shortage 0 0 0 0 Ending inventory 3000 0 1000 1000 Shortage cost 0 0 0 Inventory holding cost 1500 0 500 500
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