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: Mine P1 P2 P3 P4 Capacity Cost 1 9 15 8 10 125 50 2 7 15 14 12 100 57 3 5 5 11 12 150 55 4 3 6 8 11 120 61 Demand 110 115 135 130 Problem 1: Transporting Coal Using the strategy that minimizes cost, how many tons of coal are shipped from Mine 4 to P1?
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: Mine P1 P2 P3 P4 Capacity Cost 1 9 15 8 10 125 50 2 7 15 14 12 100 57 3 5 5 11 12 150 55 4 3 6 8 11 120 61 Demand 110 115 135 130 Problem 1: Transporting Coal Using the strategy that minimizes cost, how many tons of coal are shipped from Mine 4 to P1?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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- 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:
| Mine | P1 | P2 | P3 | P4 | Capacity | Cost |
| 1 | 9 | 15 | 8 | 10 | 125 | 50 |
| 2 | 7 | 15 | 14 | 12 | 100 | 57 |
| 3 | 5 | 5 | 11 | 12 | 150 | 55 |
| 4 | 3 | 6 | 8 | 11 | 120 | 61 |
| 110 | 115 | 135 | 130 |
Problem 1: Transporting Coal
Using the strategy that minimizes cost, how many tons of coal are shipped from Mine 4 to P1?
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