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1. Suisan Fish Company contracts with fishers in Hilo, Kona, and Puna, Big Island to purchase fishes. The fishes are cleaned and stored at the local processing facilities. Then the fishes are shipped to two plants, where they are cut, processed, and packaged as sushi and sashimi. The sushi and sashimi are then transported to three restaurants. The transportation costs per fish from the fishers to the plants and from the plants to the restaurants are summarized in the following tables: Plant Fisher 4. Plant 1 5. Plant 2 Supply 1. Hilo $16 $21 72 2. Kona $18 $16 105 3. Puna $22 $25 83 Restaurant Plant 6. BTS Sushi 7. Kentucky Fried Sushi 8. Ken's Sushi House 4. Plant 1 $23 $15 $29 5. Plant 2 $20 $17 $24 Demand 90 80 120 a. Determine the optimal shipments from fishers to plants to restaurants to minimize total transportation costs. b. What would be the effect on the solutions if the capacity at each plant were 140 fishes? (Hint: add one constraint for each plant that either the sum of incoming shipments or outgoing shipments is less than or equal to 140)

1. Suisan Fish Company contracts with fishers in Hilo, Kona, and Puna, Big Island to purchase fishes. The fishes are cleaned and stored at the local processing facilities. Then the fishes are shipped to two plants, where they are cut, processed, and packaged as sushi and sashimi. The sushi and sashimi are then transported to three restaurants. The transportation costs per fish from the fishers to the plants and from the plants to the restaurants are summarized in the following tables: Plant Fisher 4. Plant 1 5. Plant 2 Supply 1. Hilo $16 $21 72 2. Kona $18 $16 105 3. Puna $22 $25 83 Restaurant Plant 6. BTS Sushi 7. Kentucky Fried Sushi 8. Ken's Sushi House 4. Plant 1 $23 $15 $29 5. Plant 2 $20 $17 $24 Demand 90 80 120 a. Determine the optimal shipments from fishers to plants to restaurants to minimize total transportation costs. b. What would be the effect on the solutions if the capacity at each plant were 140 fishes? (Hint: add one constraint for each plant that either the sum of incoming shipments or outgoing shipments is less than or equal to 140)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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1. Suisan Fish Company contracts with fishers in Hilo, Kona, and Puna, Big Island to purchase fishes. The fishes are cleaned and stored at the local processing facilities. Then the fishes are shipped to two plants, where they are cut, processed, and packaged as sushi and sashimi. The sushi and sashimi are then transported to three restaurants. The transportation costs per fish from the fishers to the plants and from the plants to the restaurants are summarized in the following tables: Plant Fisher 4. Plant 1 5. Plant 2 Supply 1. Hilo $16 $21 72 2. Kona $18 $16 105 3. Puna $22 $25 83 Restaurant Plant 6. BTS Sushi | 7. Kentucky Fried Sushi | 8. Ken's Sushi House 4. Plant 1 $23 $15 $29 5. Plant 2 $20 $17 $24 Demand 90 80 120 a. Determine the optimal shipments from fishers to plants to restaurants to minimize total transportation costs. b. What would be the effect on the solutions if the capacity at each plant were 140 fishes? (Hint: add one constraint for each plant that either the sum of incoming shipments or outgoing shipments is less than or equal to 140)
Transcribed Image Text:1. Suisan Fish Company contracts with fishers in Hilo, Kona, and Puna, Big Island to purchase fishes. The fishes are cleaned and stored at the local processing facilities. Then the fishes are shipped to two plants, where they are cut, processed, and packaged as sushi and sashimi. The sushi and sashimi are then transported to three restaurants. The transportation costs per fish from the fishers to the plants and from the plants to the restaurants are summarized in the following tables: Plant Fisher 4. Plant 1 5. Plant 2 Supply 1. Hilo $16 $21 72 2. Kona $18 $16 105 3. Puna $22 $25 83 Restaurant Plant 6. BTS Sushi | 7. Kentucky Fried Sushi | 8. Ken's Sushi House 4. Plant 1 $23 $15 $29 5. Plant 2 $20 $17 $24 Demand 90 80 120 a. Determine the optimal shipments from fishers to plants to restaurants to minimize total transportation costs. b. What would be the effect on the solutions if the capacity at each plant were 140 fishes? (Hint: add one constraint for each plant that either the sum of incoming shipments or outgoing shipments is less than or equal to 140)
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