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At the end of a cycle of schedules, a trucking firm has a surplus of one vehicle in each of the cities 1,2,3,4 and 5 and a deficit of one vehicle in each of the cities, A, B, C, D, E and. The cost in Ksh. Of transportation and handling between the cities with a surplus and the cities with a deficit are shown in the following table

 

From

A

B

C

D

E

F

1

134

116

167

233

194

97

2

114

195

260

166

178

130

3

129

117

48

94

66

101

4

71

156

92

143

114

136

5

97

134

125

83

142

118

 

Find the assignment of surplus vehicles to deficit cities that will result in a minimum total cost. Which city will not receive a vehicle?

 

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