Transporting Coal . The Calcio Coal Company produces coal at four mines and ship
ID: 471648 • Letter: T
Question
Transporting Coal. 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 wach mine are known. The number of tons of each 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:
P1
P2
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
a. Calcio wishes to minimize the cost of transporting coal from its mines to its plants. What is the minimum cost?
b. What is the transportation schedule that achieves the minimum cost in (a)?
P1
P2
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
Explanation / Answer
A.Minimum cost is $ 3,395.50
B.The transportation schedule that achieves the minimum cost 100.
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