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Shown below is the data for a Transportation Problem with 5 origins (Dallas, Denver, Juarez, Tucson and Wichita) and 6 destinations (Store 1-Store 6). The

Shown below is the data for a Transportation Problem with 5 origins (Dallas, Denver, Juarez, Tucson and Wichita) and 6 destinations (Store 1-Store 6). The supply at each origin, demand at each store, and the unit costs are shown in the following table.

$/unit

Store 1

Store 2

Store 3

Store 4

Store 5

Store 6

Supply

Dallas

112

145

156

171

210

185

1000

Denver

123

154

217

232

164

155

1500

Juarez

96

83

152

125

154

85

2000

Tucson

126

153

177

169

173

125

1000

Wichita

104

132

187

154

157

162

1500

Demand

1000

1000

1000

1000

1200

1300

Now suppose that the demand at both Store 1 and Store 2 increases by 300 (at each store). Now what is the minimal cost and shipping pattern?

Minimum Cost = ____________

Fill in the table with the optimal flows for the solution with the expansion:

$/unit

Store1

Store2

Store3

Store4

Store5

Store6

Supply

Rowsum

Dallas

1000

Denver

1500

Juarez

2000

Tucson

1000

Wichita

1500

Demand

1300

1300

1000

1000

1200

1300

colsum

Which origins, if any, do not send all their supply? ___________________________

Which destinations, if any, do not receive all their demand? ___________________________

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