A company is producing a single product and selling it through five agencies situated in different cities. All of a sudden, there is a demand for the product in five more cities that do not have any agency of the companyThe company is faced with the problem of deciding on how to assign the existing agencies to dispatch the product to the additional cities in such a way that the travelling distance is minimised. The distances (in km) between the surplus and deficit cities are given in the following distance matrix. A company is producing a single product and selling it through five agencies situated in differentcities. All of a sudden, there is a demand for the product in five more cities that do not have anyagency of the company.The company is faced with the problem of deciding on how to assign the existing agencies todispatch the product to the additional cities in such a way that the travelling distance isminimised. The distances (in km) between the surplus and deficit cities are given in thefollowing distance matrix.Deficit CitySurplus cityIVNIVERIIIIIIA160130175190200В135120130160175140110155170185D50508080110E55357080105Determine the optimum assignment schedule. Q2. Pharmaceutical company producing asingle product sold it through five agencies situated indifferent cities. All of sudden there rouse a demand for the product in another five cities that didn'tagency of the company. The company is now facing the problem of deciding on how to assign theexisting agencies in order to dispatch the product to needy cities in such a waythat the travellingdistance is minimized. The distance between the surplus and deficit cities in kilometer is given thefollowing table.Surplus cityDeficit citiesDeficit citesbdaeA1160130115190200B1135120130160175C1140110125170185D150508080110E155358080105Determine the optimum assignment schedule.(Source: Sharma J.K, Operations Research, Theory and Application sixth edition 2017 published by Trinity press IndialSBNno.978-93-85935-14-5 p.-318)

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A company is producing a single product and selling it through five agencies situated in different
cities. All of a sudden, there is a demand for the product in five more cities that do not have any
agency of the company

The company is faced with the problem of deciding on how to assign the existing agencies to
dispatch the product to the additional cities in such a way that the travelling distance is
minimised. The distances (in km) between the surplus and deficit cities are given in the
following distance matrix.

Q2. Pharmaceutical company producing asingle product sold it through five agencies situated in
different cities. All of sudden there rouse a demand for the product in another five cities that didn't
agency of the company. The company is now facing the problem of deciding on how to assign the
existing agencies in order to dispatch the product to needy cities in such a waythat the travelling
distance is minimized. The distance between the surplus and deficit cities in kilometer is given the
following table.
Surplus city
Deficit cities
Deficit cites
b
d
a
e
A1
160
130
115
190
200
B1
135
120
130
160
175
C1
140
110
125
170
185
D1
50
50
80
80
110
E1
55
35
80
80
105
Determine the optimum assignment schedule.
(Source: Sharma J.K, Operations Research, Theory and Application sixth edition 2017 published by Trinity press IndialSBN
no.978-93-85935-14-5 p.-318)

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