A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the needs of its 3 customers without shortages. Since the firm has no storage facilities, each factory must make daily shipments to its customers. The table below shows the capacity of each factory, the amount required by each customer, and the cost of shipping from each factory to each customer. Shipping Costs ($/unit) Factory/Capacity Customer 1 Customer 2 Customer 3 A/140 units 8 5 11 B/100 units 12 15 13 C/110 units 12 14 6 Requirement— 175 units Requirement— 58 units Requirement— 117 units Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.) What is the total cost of meeting customer requirements each day?
A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the needs of its 3 customers without shortages. Since the firm has no storage facilities, each factory must make daily shipments to its customers. The table below shows the capacity of each factory, the amount required by each customer, and the cost of shipping from each factory to each customer. Shipping Costs ($/unit) Factory/Capacity Customer 1 Customer 2 Customer 3 A/140 units 8 5 11 B/100 units 12 15 13 C/110 units 12 14 6 Requirement— 175 units Requirement— 58 units Requirement— 117 units Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.) What is the total cost of meeting customer requirements each day?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 80P
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A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the needs of its 3 customers without shortages. Since the firm has no storage facilities, each factory must make daily shipments to its customers. The table below shows the capacity of each factory, the amount required by each customer, and the cost of shipping from each factory to each customer.
| Shipping Costs ($/unit) | |||||||||
| Factory/Capacity | Customer 1 | Customer 2 | Customer 3 | ||||||
| A/140 units | 8 | 5 | 11 | ||||||
| B/100 units | 12 | 15 | 13 | ||||||
| C/110 units | 12 | 14 | 6 | ||||||
| Requirement— | 175 | units | Requirement— | 58 | units | Requirement— | 117 | units | |
Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.)
What is the total cost of meeting customer requirements each day?
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