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The Westfall Company has a large contract to produce garden hoses for a large discount chain. Westfall is considering four different manufacturing facilities in Boise,

The Westfall Company has a large contract to produce garden hoses for a large discount chain. Westfall is considering four different manufacturing facilities in Boise, Denver, Salt Lake City and Reno. Their main demand locations are in Seattle, Portland, San Francisco and Los Angeles. All pertinent data is given in the table below.

Sources

Fixed Cost

Shipping Cost to Destination:

Capacity

Seattle

Portland

San Francisco

Los Angeles

Boise

160,000

4

6

9

4

10,000

Denver

230,000

9

7

7

9

10,000

Salt Lake City

450,000

8

4

2

8

12,000

Reno

390,000

12

6

2

12

9,000

Demand

9,000

10,000

10,000

12,000

Management must come up with a plan to decide which facilities are going to be open and how to manage the whole supply chain.Formulate this problem as a Linear Programming Problem

  1. What is the objective function?
  2. What are the constraints?
  3. Which manufacturing facilities are open? List any unused capacities at the plants.
  4. What is the total cost of this supply chain?

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