1. SAMCIS Automobile Company manufactures automobiles in three plants and then ships them to four regions of the country. The manufacturing plants A, B, and C supplies 450, 600 and 500 cars respectively. The projected customer demand per region is 450, 200, 300 and 300 units for region 1, 2, 3 and 4 respectively. The transportation cost from the different plants going to the different regions in the Country are presented in the table below. Region 3 266 263 Region 1 131 250 Region 2 218 116 Region 4 120 278 180 Plant A Plant B Plant C 178 132 122 Generate the mathematical model for finding the least cost way of shipping the automobiles from the different plants to selected regions in the country. What will be the optimal solution to the given problem? Submit the result in the excel solver and the manual computation to arrive at the ptimal solution.

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1. SAMCIS Automobile Company manufactures automobiles in three plants and then ships them to
four regions of the country. The manufacturing plants A, B, and C supplies 450, 600 and 500 cars
respectively. The projected customer demand per region is 450, 200, 300 and 300 units for region 1,
2, 3 and 4 respectively. The transportation cost from the different plants going to the different
regions in the Country are presented in the table below.
Region 1
Region 2
218
Region 3
266
Region 4
120
Plant A
Plant B
131
250
116
263
278
Plant C
178
132
122
180
Generate the mathematical model for finding the least cost way of shipping the
automobiles from the different plants to selected regions in the country. What will be
the optimal solution to the given problem?
Submit the result in the excel solver and the manual computation to arrive at the
optimal solution.
Transcribed Image Text:1. SAMCIS Automobile Company manufactures automobiles in three plants and then ships them to four regions of the country. The manufacturing plants A, B, and C supplies 450, 600 and 500 cars respectively. The projected customer demand per region is 450, 200, 300 and 300 units for region 1, 2, 3 and 4 respectively. The transportation cost from the different plants going to the different regions in the Country are presented in the table below. Region 1 Region 2 218 Region 3 266 Region 4 120 Plant A Plant B 131 250 116 263 278 Plant C 178 132 122 180 Generate the mathematical model for finding the least cost way of shipping the automobiles from the different plants to selected regions in the country. What will be the optimal solution to the given problem? Submit the result in the excel solver and the manual computation to arrive at the optimal solution.
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