Find an initial feasible solution to this transportation problem by following the North-West  corner Rule.   How much should be shipped from each source to each destination to minimize the total  shipping cost?  What will be the minimal total cost?

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The Executive Furniture Corporation, which manufactures office desks at three locations: Des  Moines, Evansville and Fort Lauderdale. The firm distributes the desks through regional  warehouses located in Albuquerque, Boston and Cleveland. The production costs per desk are the  same at each factory and hence the only relevant costs are those of shipping from each source to  each destination. They are assumed to be constant regardless of their volume shipped. An estimate  of the monthly production capacity at each factory and estimate of the number of desks required  per month at each destination and the shipping cost ($) per desk from each source to each  destination is given in the following table:  

 Transportation table for Executive Furniture Corporation 

To 

From

Albuquerque 

Boston 

Cleveland 

Factory  

capacity

Des Moines 

300

Evansville 

400

Fort Lauderdale 

350

Requirements 

350 

250 

450

 



  Find an initial feasible solution to this transportation problem by following the North-West  corner Rule.  

How much should be shipped from each source to each destination to minimize the total  shipping cost? 

What will be the minimal total cost?

The Executive Furniture Corporation, which manufacture: office de:k: at three location:: Des
Moines, Evansville and Fort Lauderdale. The firm distributes the desk: through regional
warehouse: located in Albuquerque, Bocton and Cleveland. The production costs per de:k are the
same at each factory and hence the only relevant cocts are those of chipping from each source to
cach destination. They are assumed to be constant regardless of their volume shipped. An
estimate of the monthly production capacity at each factory and estimate of the number of de:k:
required per month at each destination and the chipping cost ($) per de:k from each source to
each destination is given in the following table:
Eransportation table for Executive Furniture Corporation
То
Albuquerque
Boston
Cleveland
Factory
сарасiry
From
De: Moine:
6.
5
300
Evansville
5
400
Fort Lauderdale
4
5
6.
350
Requirement:
350
250
450
Find an initial fea:ible zolution to thi: tran-portation problem by following the North-Wezt
corner Rule.
How much should be shipped from each source to each destination to minimize the total
chipping cost?
What will be the minimal total cost?
Transcribed Image Text:The Executive Furniture Corporation, which manufacture: office de:k: at three location:: Des Moines, Evansville and Fort Lauderdale. The firm distributes the desk: through regional warehouse: located in Albuquerque, Bocton and Cleveland. The production costs per de:k are the same at each factory and hence the only relevant cocts are those of chipping from each source to cach destination. They are assumed to be constant regardless of their volume shipped. An estimate of the monthly production capacity at each factory and estimate of the number of de:k: required per month at each destination and the chipping cost ($) per de:k from each source to each destination is given in the following table: Eransportation table for Executive Furniture Corporation То Albuquerque Boston Cleveland Factory сарасiry From De: Moine: 6. 5 300 Evansville 5 400 Fort Lauderdale 4 5 6. 350 Requirement: 350 250 450 Find an initial fea:ible zolution to thi: tran-portation problem by following the North-Wezt corner Rule. How much should be shipped from each source to each destination to minimize the total chipping cost? What will be the minimal total cost?
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