Distribution offices Location of factories 200 150 226 164 135 150 112 175 135 154 290 128 160 162 145 D 225 142 180 155 130

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ISBN:9780470458365
Author:Erwin Kreyszig
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294 Quantitative Techniques in Management
L03.7
12. A company has a sales force of 50 men who work out from four distribution offices to supply simple
hand tools to factories located in five different locations in the city. Factories at different locations
in the city require 5, 10, 20, 5 and 10 number of salesmen, respectively, to ensure smooth supply of
tools to the factories in each of the locations. At present, the number of salesmen located at each of
distribution offices are 15, 15, 10, and 10. The cost (in ) per day of assigning salesmen from each of
the offices for supplying hand tools are as follows:
Distribution
offices
Location of factories
200
150
226
164
135
150
112
175
135
154
290
128
160
162
145
225
142
180
155
130
How many salesmen should be assigned from each office to distribute the hand tools to minimise the
total cost? Use VAM for initial solution. Give comment on optimality.
(M Com, Delhi 2013)
LO7
Transcribed Image Text:294 Quantitative Techniques in Management L03.7 12. A company has a sales force of 50 men who work out from four distribution offices to supply simple hand tools to factories located in five different locations in the city. Factories at different locations in the city require 5, 10, 20, 5 and 10 number of salesmen, respectively, to ensure smooth supply of tools to the factories in each of the locations. At present, the number of salesmen located at each of distribution offices are 15, 15, 10, and 10. The cost (in ) per day of assigning salesmen from each of the offices for supplying hand tools are as follows: Distribution offices Location of factories 200 150 226 164 135 150 112 175 135 154 290 128 160 162 145 225 142 180 155 130 How many salesmen should be assigned from each office to distribute the hand tools to minimise the total cost? Use VAM for initial solution. Give comment on optimality. (M Com, Delhi 2013) LO7
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