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The Maytubig Water Company purifies drinking water in Luzon and Mindanao, which it plans to distribute to typhoon-hit areas in Tacloban, Ilo-ilo, Ormoc, Northern Cebu, and Eastern Samar. The Luzon filtering plant is expected to produce 85,000 liters and the Mindanao filtering plant is expected to produce 50,000 liters a week. These are estimated weekly water requirement according to DSWD: WHOLESALER LITERS OF PURIFIED WATER Tacloban Ilo-ilo Ormoc Northern Cebu Eastern Samar 45,000 25,000 40,000 12,000 20,000 Here is the cost of shipping 1,000 liters of purified drinking water from each filtering plant to each affected area: PLANT WHOLESALER COST Luzon Tacloban P 20 Luzon llo-ilo 30 Luzon Ormoc 50 Luzon Northern Cebu 60 Luzon Eastern Samar 35 Mindanao Tacloban 50 Mindanao llo-ilo 60 Mindanao Ormoc 20 Mindanao Northern Cebu 30 Mindanao Eastern Samar 70 Which of the following is true about the optimal solution for the problem? s O Shipping an additional one thousand liters of water from Mindanao to llo-llo will not change the total distribution cost. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 25. O None of the above. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 35. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 5.

The Maytubig Water Company purifies drinking water in Luzon and Mindanao, which it plans to distribute to typhoon-hit areas in Tacloban, Ilo-ilo, Ormoc, Northern Cebu, and Eastern Samar. The Luzon filtering plant is expected to produce 85,000 liters and the Mindanao filtering plant is expected to produce 50,000 liters a week. These are estimated weekly water requirement according to DSWD: WHOLESALER LITERS OF PURIFIED WATER Tacloban Ilo-ilo Ormoc Northern Cebu Eastern Samar 45,000 25,000 40,000 12,000 20,000 Here is the cost of shipping 1,000 liters of purified drinking water from each filtering plant to each affected area: PLANT WHOLESALER COST Luzon Tacloban P 20 Luzon llo-ilo 30 Luzon Ormoc 50 Luzon Northern Cebu 60 Luzon Eastern Samar 35 Mindanao Tacloban 50 Mindanao llo-ilo 60 Mindanao Ormoc 20 Mindanao Northern Cebu 30 Mindanao Eastern Samar 70 Which of the following is true about the optimal solution for the problem? s O Shipping an additional one thousand liters of water from Mindanao to llo-llo will not change the total distribution cost. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 25. O None of the above. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 35. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 5.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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The Maytubig Water Company purifies drinking water in Luzon and Mindanao, which it plans to distribute to typhoon-hit areas in Tacloban, Ilo-ilo, Ormoc, Northern Cebu, and Eastern Samar. The Luzon filtering plant is expected to produce 85,000 liters and the Mindanao filtering plant is expected to produce 50,000 liters a week. These are estimated weekly water requirement according to DSWD: WHOLESALER LITERS OF PURIFIED WATER Tacloban Ilo-ilo Ormoc Northern Cebu Eastern Samar 45,000 25,000 40,000 12,000 20,000 Here is the cost of shipping 1,000 liters of purified drinking water from each filtering plant to each affected area: PLANT WHOLESALER COST Luzon Tacloban P 20 Luzon llo-ilo 30 Luzon Ormoc 50 Luzon Northern Cebu 60 Luzon Eastern Samar 35 Mindanao Tacloban 50 Mindanao Ilo-ilo 60 Mindanao Ormoc 20 Mindanao Northern Cebu 30 Mindanao Eastern Samar 70 Which of the following is true about the optimal solution for the problem? s O Shipping an additional one thousand liters of water from Mindanao to llo-llo will not change the total distribution cost. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 25. O None of the above. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 35. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 5.
Transcribed Image Text:The Maytubig Water Company purifies drinking water in Luzon and Mindanao, which it plans to distribute to typhoon-hit areas in Tacloban, Ilo-ilo, Ormoc, Northern Cebu, and Eastern Samar. The Luzon filtering plant is expected to produce 85,000 liters and the Mindanao filtering plant is expected to produce 50,000 liters a week. These are estimated weekly water requirement according to DSWD: WHOLESALER LITERS OF PURIFIED WATER Tacloban Ilo-ilo Ormoc Northern Cebu Eastern Samar 45,000 25,000 40,000 12,000 20,000 Here is the cost of shipping 1,000 liters of purified drinking water from each filtering plant to each affected area: PLANT WHOLESALER COST Luzon Tacloban P 20 Luzon llo-ilo 30 Luzon Ormoc 50 Luzon Northern Cebu 60 Luzon Eastern Samar 35 Mindanao Tacloban 50 Mindanao Ilo-ilo 60 Mindanao Ormoc 20 Mindanao Northern Cebu 30 Mindanao Eastern Samar 70 Which of the following is true about the optimal solution for the problem? s O Shipping an additional one thousand liters of water from Mindanao to llo-llo will not change the total distribution cost. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 25. O None of the above. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 35. O Shipping an additional one thousand liters of water from Mindanao to llo-llo will reduce the total distribution cost by P 5.
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