Metropolitan Manila has four incinerator sites for processing solid waste. There are five garbage collection areas within the metropolis. The city wants to determine the least-cost method of disposing of its trash. Each incinerator is characterized by an operating cost for processing each ton of waste and also a cost for transporting each ton of waste is summarized in the table below: Collection Area Incinerator Site 1 2 3 4 A 50 120 110 60 B 100 55 90 70 C 60 40 80 65 D 90 75 85 110 E 65 80 100 95 Incinerator sites 1 and 2 have a weekly capacity of 6,000 tons each, site 3 has a capacity of 8,000 tons and site 4 has a capacity of 10,000 tons. There are 4,000 tons of waste generated at area A, 8,000 tons at area B, and 5,000 tons each at areas C and D, each week. A total of 25,000 tons of waste each week are generated from all five areas. QUESTION: You have been informed that some burners at incinerator site 4 have to be repaired, thus reducing its processing capacity by 50 percent. Construct the optimal transportation table to show the changes in your plan. What about the total cost?
Metropolitan Manila has four incinerator sites for processing solid waste. There are five garbage collection areas within the metropolis. The city wants to determine the least-cost method of disposing of its trash. Each incinerator is characterized by an operating cost for processing each ton of waste and also a cost for transporting each ton of waste is summarized in the table below:
| Collection Area | Incinerator Site | |||
| 1 | 2 | 3 | 4 | |
| A | 50 | 120 | 110 | 60 |
| B | 100 | 55 | 90 | 70 |
| C | 60 | 40 | 80 | 65 |
| D | 90 | 75 | 85 | 110 |
| E | 65 | 80 | 100 | 95 |
Incinerator sites 1 and 2 have a weekly capacity of 6,000 tons each, site 3 has a capacity of 8,000 tons and site 4 has a capacity of 10,000 tons. There are 4,000 tons of waste generated at area A, 8,000 tons at area B, and 5,000 tons each at areas C and D, each week. A total of 25,000 tons of waste each week are generated from all five areas.
QUESTION:
You have been informed that some burners at incinerator site 4 have to be repaired, thus reducing its processing capacity by 50 percent. Construct the optimal transportation table to show the changes in your plan. What about the total cost?
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