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 Cost ($/units) Factory/Capacity Customer 1 Customer 2 Customer 3 A/130 units 9 7 8 B/ 120 units 10 9 13 C/140 units 10 6 5   Requirement - 195 units Requirement - 65 units Requirement - 130 units Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.) Shipping Cost ($/units) Factory  Customer 1 Customer 2 Customer 3 A       B       C         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.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
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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 Cost ($/units)

Factory/Capacity Customer 1 Customer 2 Customer 3
A/130 units 9 7 8
B/ 120 units 10 9 13
C/140 units 10 6 5
  Requirement - 195 units Requirement - 65 units Requirement - 130 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.)

Shipping Cost ($/units)

Factory  Customer 1 Customer 2 Customer 3
A      
B      
C      

 

What is the total cost of meeting customer requirements each day?

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Follow-up Question
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 ($/unit)
Customer 2
Customer 3
Factory/Capacity
A/190 units
Customer 1
10
10
8
11
12
9
B/180 units
C/140 units
6
5
12
Requirement-255 units.
Requirement-85 units
Requirement-170 units
Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to
enter "0" wherever required.)
> Answer is complete but not entirely correct.
Shipping Costs ($/unit)
Customer
Factory
Customer
1
Customer
3
2
A
95 x
0
95 X
B
105 x
0
75 x
C
55
85
0✓
What is the total cost of meeting customer requirements each day?
Answer is complete and correct.
Total
cost
4,295
Transcribed Image Text: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 ($/unit) Customer 2 Customer 3 Factory/Capacity A/190 units Customer 1 10 10 8 11 12 9 B/180 units C/140 units 6 5 12 Requirement-255 units. Requirement-85 units Requirement-170 units Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.) > Answer is complete but not entirely correct. Shipping Costs ($/unit) Customer Factory Customer 1 Customer 3 2 A 95 x 0 95 X B 105 x 0 75 x C 55 85 0✓ What is the total cost of meeting customer requirements each day? Answer is complete and correct. Total cost 4,295
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