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The Calcio Coal Company produces coal at four mines and ships it to four power plants ( P 1 - P 4 ) . The

The Calcio Coal Company produces coal at four mines and ships it to four power plants (P1-P4).
The cost per ton of producing coal and the production capacity (in tons) for each mine are
known. The number of tons of coal demanded by each customer is also known. The cost (in
dollars) of shipping a ton of coal from a mine to each plant is available as well. The following
table provides the data:
Calcio wishes to minimize the cost of transporting coal from its mines to its plants. What is the minimum
cost?P1
P2
133
P3
P4 Capacity
Cost
Mine 1
9
15
8
10
125
50
Mine 2
7
15
14
12
100
57
Mine 3
5
5
11
12
150
55
Mine 4
3
6
8
11
120
61
Demands
110
115
135
130
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