The water-supply manager for San Francisco needs to supply the city with at least 19 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 19 million gallons of potable water, and the pipeline has a maximum daily yield of 14 million gallons. By contract, the pipeline is required to supply a minimum of 9 million gallons per day. If the cost for 1 million gallons of reservoir water is $455 and the cost for 1 million gallons of pipeline water is $310, 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: _____ million gallons Reservoir: ______ million gallons

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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The water-supply manager for San Francisco needs to supply the city with at least 19 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 19 million gallons of potable water, and the pipeline has a maximum daily yield of 14 million gallons. By contract, the pipeline is required to supply a minimum of 9 million gallons per day. If the cost for 1 million gallons of reservoir water is $455 and the cost for 1 million gallons of pipeline water is $310, 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: _____ million gallons
Reservoir: ______ million gallons

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