Michele Platini and Diego Maradona, planners for a company that makes several models of footballs are about to prepare the capacity plan that will cover six periods. They have assembled the following information.   Period 1 2 3 4 5 6 Total Forecast 250 300 350 400 500 250 2,050   They intend to start with zero inventory on hand in the first period, and their production rate is 300 units per period. Use overtime at a fixed rate of 15 units per period as needed.  Use subcontracting at a maximum rate of 50 units per period if needed. Plan for an ending inventory of zero for period 6. Backorders cannot exceed 60 units per period. Compute the total cost of the plan.   a)      Prepare the capacity plan as below using the level strategy.  Period 1 2  … 6 Total Forecast           Production: Regular     …     Overtime     …     Subcontracting     …     Output-Forecast     …     Inventory: Beginning     …     Ending     …     Average     …     Backorders     …     Costs: Regular     …     Overtime     …     Subcontracting     …     Inventory     …     Backorders     …     TOTAL     …       Level Strategy Operations Costs:  Regular: 4£,  Overtime: 2£,  Subcontracting: 10£,  Inventory: 2£,  Backorders: 30£     b)      Prepare the capacity plan using the chase strategy, and compute the costs.    Period 1 2  … 6 Total Forecast           Production: Regular       …     Change in Production     …     Costs: Regular       …     Production level change     …     TOTAL     …       Chase Strategy Operations Costs:  Regular: 4£,  Level change: 6£     c)      Compare and contrast the two strategies.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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Michele Platini and Diego Maradona, planners for a company that makes several models of footballs are about to prepare the capacity plan that will cover six periods. They have assembled the following information.

 

Period

1

2

3

4

5

6

Total

Forecast

250

300

350

400

500

250

2,050

 

They intend to start with zero inventory on hand in the first period, and their production rate is 300 units per period. Use overtime at a fixed rate of 15 units per period as needed.  Use subcontracting at a maximum rate of 50 units per period if needed.

Plan for an ending inventory of zero for period 6. Backorders cannot exceed 60 units per period.

Compute the total cost of the plan.

 

a)      Prepare the capacity plan as below using the level strategy. 

Period

1

2

 …

6

Total

Forecast

 

 

 

 

 

Production:

Regular

 

 

 

 

Overtime

 

 

 

 

Subcontracting

 

 

 

 

Output-Forecast

 

 

 

 

Inventory:

Beginning

 

 

 

 

Ending

 

 

 

 

Average

 

 

 

 

Backorders

 

 

 

 

Costs:

Regular

 

 

 

 

Overtime

 

 

 

 

Subcontracting

 

 

 

 

Inventory

 

 

 

 

Backorders

 

 

 

 

TOTAL

 

 

 

 

 

Level Strategy Operations Costs:  Regular: 4£,  Overtime: 2£,  Subcontracting: 10£,  Inventory: 2£,  Backorders: 30£

 

 

b)      Prepare the capacity plan using the chase strategy, and compute the costs. 

 

Period

1

2

 …

6

Total

Forecast

 

 

 

 

 

Production:

Regular

 

 

 

 

 

Change in

Production

 

 

 

 

Costs:

Regular

 

 

 

 

 

Production level

change

 

 

 

 

TOTAL

 

 

 

 

 

Chase Strategy Operations Costs:  Regular: 4£,  Level change: 6£

 

 

c)      Compare and contrast the two strategies. 

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