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The water-supply manager for Seattle needs to supply the city with at least 11 million gallons of potable water per day. The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. The local reservoir has a maximum daily yield of 13 million gallons of potable water, and the pipeline has a maximum daily yield of 8 million gallons. By contract, the pipeline is required to supply a minimum of 5 million gallons per day. If the cost for 1 million gallons of reservoir water is $215 and the cost for 1 million gallons of pipeline water is $210, how much water should the manager get from each source to minimize daily water costs for the city? What is the minimum daily water cost? Minimum daily water cost: $ Pipeline: Reservoir: million gallons million gallons

The water-supply manager for Seattle needs to supply the city with at least 11 million gallons of potable water per day. The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. The local reservoir has a maximum daily yield of 13 million gallons of potable water, and the pipeline has a maximum daily yield of 8 million gallons. By contract, the pipeline is required to supply a minimum of 5 million gallons per day. If the cost for 1 million gallons of reservoir water is $215 and the cost for 1 million gallons of pipeline water is $210, how much water should the manager get from each source to minimize daily water costs for the city? What is the minimum daily water cost? Minimum daily water cost: $ Pipeline: Reservoir: million gallons million gallons

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The water-supply manager for Seattle needs to supply the city with at least 11 million gallons of potable water per day. The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. The local reservoir has a maximum daily yield of 13 million gallons of potable water, and the pipeline has a maximum daily yield of 8 million gallons. By contract, the pipeline is required to supply a minimum of 5 million gallons per day. If the cost for 1 million gallons of reservoir water is $215 and the cost for 1 million gallons of pipeline water is $210, how much water should the manager get from each source to minimize daily water costs for the city? What is the minimum daily water cost? Minimum daily water cost: $ Pipeline: Reservoir: million gallons million gallons
Transcribed Image Text:The water-supply manager for Seattle needs to supply the city with at least 11 million gallons of potable water per day. The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. The local reservoir has a maximum daily yield of 13 million gallons of potable water, and the pipeline has a maximum daily yield of 8 million gallons. By contract, the pipeline is required to supply a minimum of 5 million gallons per day. If the cost for 1 million gallons of reservoir water is $215 and the cost for 1 million gallons of pipeline water is $210, how much water should the manager get from each source to minimize daily water costs for the city? What is the minimum daily water cost? Minimum daily water cost: $ Pipeline: Reservoir: million gallons million gallons
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