9.1-1. The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Distribution Center 1 2 3 4 1 800 miles Plant 2 1,100 miles 3 1,300 miles 400 miles 700 miles 1,400 miles 600 miles 1,000 miles 600 miles 1,200 miles 800 miles 900 miles The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. c (c)Obtain an optimal solution.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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Kindly give me a detailed response. Thank you. Please do not use Excel Solver or lingo. Kindly do the iterations by hand. Thank you very much
9.1-1. The Childfair Company has three plants producing child push chairs that are to be
shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments
per month, respectively. Each distribution center needs to receive 10 shipments per
month. The distance from each plant to the respective distributing centers is given below:
Distance
Distribution Center
1
2
3
4
1
800 miles
Plant 2 1,100 miles
3
1,300 miles
400 miles
700 miles
1,400 miles
600 miles
1,000 miles
600 miles 1,200 miles
800 miles
900 miles
The freight cost for each shipment is $100 plus 50 cents per mile.
How much should be shipped from each plant to each of the distribution
centers to minimize the total shipping cost?
(a) Formulate this problem as a transportation problem by constructing the appropriate
parameter table.
(b) Draw the network representation of this problem.
c (c)Obtain an optimal solution.
Transcribed Image Text:9.1-1. The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Distribution Center 1 2 3 4 1 800 miles Plant 2 1,100 miles 3 1,300 miles 400 miles 700 miles 1,400 miles 600 miles 1,000 miles 600 miles 1,200 miles 800 miles 900 miles The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. c (c)Obtain an optimal solution.
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