From our manufacturing plant in Montreal we can supply 800 tons per month of our product at a price o $90 per ton plus the unit transportation cost indicated below. Our other plant at Shawinigan can suppl 1800 tons per month at a price of $80 per ton plus the unit transportation cost indicated below. There ar three groups of customers: in Drummondville there is a demand for 500 tons per month; in Sorel there is demand for 1300 tons per month and in Sherbrooke the demand is 1000 tons per month. The freight-rat schedules (dollars per ton carried) are as follows: From Montreal $35 From Shawinigan $26 | To Drummondville To Sorel To Sherbrooke 20 25 40 45 (a) Formulate the transportation problem. Define the variables properly & clearly. Cabe die

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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From our manufacturing plant in Montreal we can supply 800 tons per month of our product at a price of
$90 per ton plus the unit transportation cost indicated below. Our other plant at Shawinigan can supply
1800 tons per month at a price of $80 per ton plus the unit transportation cost indicated below. There are
three groups of customers: in Drummondville there is a demand for 500 tons per month; in Sorel there is a
demand for 1300 tons per month and in Sherbrooke the demand is 1000 tons per month. The freight-rate
schedules (dollars per ton carried) are as follows:
From Montreal
From Shawinigan
$26
To Drummondville
$35
To Sorel
20
25
To Sherbrooke
40
45
(a) Formulate the transportation problem. Define the variables properly & clearly.
(b) How would the model change, if the direct connection from Montreal to Sorel were to be permanently
closed?
Transcribed Image Text:From our manufacturing plant in Montreal we can supply 800 tons per month of our product at a price of $90 per ton plus the unit transportation cost indicated below. Our other plant at Shawinigan can supply 1800 tons per month at a price of $80 per ton plus the unit transportation cost indicated below. There are three groups of customers: in Drummondville there is a demand for 500 tons per month; in Sorel there is a demand for 1300 tons per month and in Sherbrooke the demand is 1000 tons per month. The freight-rate schedules (dollars per ton carried) are as follows: From Montreal From Shawinigan $26 To Drummondville $35 To Sorel 20 25 To Sherbrooke 40 45 (a) Formulate the transportation problem. Define the variables properly & clearly. (b) How would the model change, if the direct connection from Montreal to Sorel were to be permanently closed?
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