Type of linear programming - dea, Programming Languages

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Type of Linear Programming - DEA

The Express Dry Cleaners currently has four locations in the Chicago area and willing be opening the fifth in the very near future.  Mr. James, the owner, would like to improve the overall efficiency of the four current locations and ensure that the new location will be a state of the art facility.  He has hired an efficiency consultant to help him determine which of the current locations is the most productive.  The workflow and processes used in the most efficient of his locations will be adopted by all of the locations. 

After a process review at each location the following resource inputs were identified for each location.

  • Tailoring Staff - input 1
  • Laundry Staff - input 2
  • Dry Cleaning Staff - input 3
  • Pressing Staff - input 4
  • Expenses per month - input 5
  • Management Staff - input 6
  • Facility costs per month - input 7

The outputs (number of items processed) for each location have been identified as:

  • Full Service Dry Cleaning - output 1
  • One Hour Cleaning - output 2
  • Laundry Services - output 3
  • Express Press - output 4
  • Alterations - output 5
  • Wedding Gown Preservation - output 6
  • Drapery Cleaning and Pressing - output 7

The prices per unit of each input and output are reflected in the following table

Express Dry Cleaners

Inputs

Location

1

2

3

4

5

6

7

1245 Main Street

3

6

8

4

8,000

4

6,000

865 Pine Cove Drive

1

4

5

2

9,000

2

4,500

342 Western Avenue

2

2

3

3

7,000

1

5,500

92136 George Road

4

1

5

3

12,000

2

7,000

Outputs

Location

1

2

3

4

5

6

7

1245 Main Street

875

450

600

525

115

175

312

865 Pine Cove Drive

287

75

253

25

30

45

58

342 Western Avenue

330

100

115

83

75

23

42

92136 George Road

900

375

784

700

450

100

411


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