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City 1 produces 500 tons of waste per day, and city 2 produces 400 tons of waste per day. Waste must be incinerated at incinerator 1 or 2, and each incinerator can process up to 500 tons of waste per day. The cost to incinerate waste is $40 per ton at incinerator 1 and $30 per ton at incinerator 2. Incineration reduces each ton of waste to 0.2 ton of debris, which must be dumped at one of two landfills. Each landfill can receive at most 200 tons of debris per day. It costs $3 per mile to transport a ton of material (either debris or waste). Distances (in miles) between locations are listed in the file P04_107.xlsx. Determine how to minimize the total cost of disposing of the waste from both cities.
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Practical Management Science
6th Edition
WINSTON + 1 other
Publisher: Cengage,
ISBN: 9781337406659
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BuyFindarrow_forward
Practical Management Science
6th Edition
WINSTON + 1 other
Publisher: Cengage,
ISBN: 9781337406659
Chapter 4, Problem 107P
Textbook Problem
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City 1 produces 500 tons of waste per day, and city 2 produces 400 tons of waste per day. Waste must be incinerated at incinerator 1 or 2, and each incinerator can process up to 500 tons of waste per day. The cost to incinerate waste is $40 per ton at incinerator 1 and $30 per ton at incinerator 2. Incineration reduces each ton of waste to 0.2 ton of debris, which must be dumped at one of two landfills. Each landfill can receive at most 200 tons of debris per day. It costs $3 per mile to transport a ton of material (either debris or waste). Distances (in miles) between locations are listed in the file P04_107.xlsx. Determine how to minimize the total cost of disposing of the waste from both cities.
Summary Introduction
To determine: The way to minimize the total cost of disposing the wastes from both the cities.
Linear programming:
It is a mathematical modeling procedure where a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
Explanation of Solution
Model:
Solver input:
The solver input is selected from under the “Data” tab in Excel and the input is given as shown below:
Chapter 4 Solutions
Practical Management Science
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