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City 1 produces 500 tons of waste per day, city 2 produces 400 tons of waste per day, and city 3 produces 450 tons of waste per day. Waste must be incinerated at incinerator 1 or incinerator 2 or incinerator 3, and each incinerator can process up to 500 tons of waste per day. The cost to incinerate waste is $40/ton at incinerator 1 and $30/ton at incinerator 2 and $35 at incinerator 3. Incineration one and two reduces each ton of waste to 0.2 tons of debris, incinerator 3 reduces the debris to 40% of its original weight, which must be dumped at one of three landfills. Landfill 1 and 2 can receive at most 200 tons of debris per day Landfill three can receive up to three hundred tons per day. It costs $3 per mile to transport a ton of material (either debris or waste). Distances (in miles) between locations are shown in Table below. Formulate an LP that can be used to minimize the total cost of disposing off the waste of both cities. Incinerator 1 Incinerator 2 Incinerator 3 City 1 30 5 32 City 2 36 42 30 City 3 34 30 28 LANDFILL 1 LANDFILL 2 LANDFILL 3 Incin. 1 Incin 2 5 7 5 Incin 3 5 7 Create Decision variables, objective function and constraints for a LP.-

City 1 produces 500 tons of waste per day, city 2 produces 400 tons of waste per day, and city 3 produces 450 tons of waste per day. Waste must be incinerated at incinerator 1 or incinerator 2 or incinerator 3, and each incinerator can process up to 500 tons of waste per day. The cost to incinerate waste is $40/ton at incinerator 1 and $30/ton at incinerator 2 and $35 at incinerator 3. Incineration one and two reduces each ton of waste to 0.2 tons of debris, incinerator 3 reduces the debris to 40% of its original weight, which must be dumped at one of three landfills. Landfill 1 and 2 can receive at most 200 tons of debris per day Landfill three can receive up to three hundred tons per day. It costs $3 per mile to transport a ton of material (either debris or waste). Distances (in miles) between locations are shown in Table below. Formulate an LP that can be used to minimize the total cost of disposing off the waste of both cities. Incinerator 1 Incinerator 2 Incinerator 3 City 1 30 5 32 City 2 36 42 30 City 3 34 30 28 LANDFILL 1 LANDFILL 2 LANDFILL 3 Incin. 1 Incin 2 5 7 5 Incin 3 5 7 Create Decision variables, objective function and constraints for a LP.-

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
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City 1 produces 500 tons of waste per day, city 2 produces 400 tons of waste per day, and city 3 produces 450 tons of waste per day. Waste must be incinerated at incinerator 1 or incinerator 2 or incinerator 3, and each incinerator can process up to 500 tons of waste per day. The cost to incinerate waste is $40/ton at incinerator 1 and $30/ton at incinerator 2 and $35 at incinerator 3. Incineration one and two reduces each ton of waste to 0.2 tons of debris, incinerator 3 reduces the debris to 40% of its original weight, which must be dumped at one of three landfills. Landfill 1 and 2 can receive at most 200 tons of debris per day Landfill three can receive up to three hundred tons per day. It costs $3 per mile to transport a ton of material (either debris or waste). Distances (in miles) between locations are shown in Table below. Formulate an LP that can be used to minimize the total cost of disposing off the waste of both cities. Incinerator 1 Incinerator 2 Incinerator 3 City 1 30 32 City 2 36 42 30 City 3 34 30 28 LANDFILL 1 LANDFILL 2 LANDFILL 3 Incin. 1 5 7 Incin. 2 5 Incin. 3 6 7 Create Decision variables, objective function and constraints for a LP.-
Transcribed Image Text:City 1 produces 500 tons of waste per day, city 2 produces 400 tons of waste per day, and city 3 produces 450 tons of waste per day. Waste must be incinerated at incinerator 1 or incinerator 2 or incinerator 3, and each incinerator can process up to 500 tons of waste per day. The cost to incinerate waste is $40/ton at incinerator 1 and $30/ton at incinerator 2 and $35 at incinerator 3. Incineration one and two reduces each ton of waste to 0.2 tons of debris, incinerator 3 reduces the debris to 40% of its original weight, which must be dumped at one of three landfills. Landfill 1 and 2 can receive at most 200 tons of debris per day Landfill three can receive up to three hundred tons per day. It costs $3 per mile to transport a ton of material (either debris or waste). Distances (in miles) between locations are shown in Table below. Formulate an LP that can be used to minimize the total cost of disposing off the waste of both cities. Incinerator 1 Incinerator 2 Incinerator 3 City 1 30 32 City 2 36 42 30 City 3 34 30 28 LANDFILL 1 LANDFILL 2 LANDFILL 3 Incin. 1 5 7 Incin. 2 5 Incin. 3 6 7 Create Decision variables, objective function and constraints for a LP.-
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