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How many arcs will the network have?

How many arcs will the network have?

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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**Multiple Choice Question** Below is a list of options for a multiple-choice question. Please select the option that best answers the question: - Option 1: 16 - Option 2: 7 - Option 3: 12 - Option 4: 4 - Option 5: 3 Each option is accompanied by a circular radio button, allowing you to select one answer.
Transcribed Image Text:**Multiple Choice Question** Below is a list of options for a multiple-choice question. Please select the option that best answers the question: - Option 1: 16 - Option 2: 7 - Option 3: 12 - Option 4: 4 - Option 5: 3 Each option is accompanied by a circular radio button, allowing you to select one answer.
A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: | Factory (capacity) | Customer 1 (125) | Customer 2 (150) | Customer 3 (175) | Customer 4 (75) | |--------------------|------------------|------------------|------------------|-----------------| | A (100) | $15 | $10 | $20 | $17 | | B (75) | $20 | $12 | $19 | $20 | | C (100) | $22 | $20 | $25 | $14 | | D (250) | $21 | $15 | $28 | $12 | **Question:** How many arcs will the network have? **Explanation:** This table represents a transportation problem, where factories with certain capacities must fulfill the requirements of different customers at a cost. Each factory can supply to each customer, and each customer receives supplies from multiple factories, creating a network of possible connections. **Calculation of Arcs:** - With 4 factories and 4 customers, each factory-customer pair forms an arc. - Total arcs = 4 factories × 4 customers = 16 arcs. The problem thus involves coordinating these connections (arcs) to minimize or optimize associated costs while meeting all demands and respecting all capacities.
Transcribed Image Text:A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: | Factory (capacity) | Customer 1 (125) | Customer 2 (150) | Customer 3 (175) | Customer 4 (75) | |--------------------|------------------|------------------|------------------|-----------------| | A (100) | $15 | $10 | $20 | $17 | | B (75) | $20 | $12 | $19 | $20 | | C (100) | $22 | $20 | $25 | $14 | | D (250) | $21 | $15 | $28 | $12 | **Question:** How many arcs will the network have? **Explanation:** This table represents a transportation problem, where factories with certain capacities must fulfill the requirements of different customers at a cost. Each factory can supply to each customer, and each customer receives supplies from multiple factories, creating a network of possible connections. **Calculation of Arcs:** - With 4 factories and 4 customers, each factory-customer pair forms an arc. - Total arcs = 4 factories × 4 customers = 16 arcs. The problem thus involves coordinating these connections (arcs) to minimize or optimize associated costs while meeting all demands and respecting all capacities.
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