The water-supply manager for a Midwestern city needs to supply the city with at least 11 million gallons of potable (drinkable) 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 5 million gallons of potable water, and the pipeline has a maximum daily yield of 11 million gallons. By contract, the pipeline is required to supply a minimum of 7 million gallons/day. If the cost for 1 million gallons of reservoir water is $300 and that for pipeline water is $400, how much water should the manager get from each source to minimize daily water costs for the city? reservoir million gallons pipeline million gallons What is the minimum daily cost?
The water-supply manager for a Midwestern city needs to supply the city with at least 11 million gallons of potable (drinkable) 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 5 million gallons of potable water, and the pipeline has a maximum daily yield of 11 million gallons. By contract, the pipeline is required to supply a minimum of 7 million gallons/day. If the cost for 1 million gallons of reservoir water is $300 and that for pipeline water is $400, how much water should the manager get from each source to minimize daily water costs for the city? reservoir million gallons pipeline million gallons What is the minimum daily cost?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Transcribed Image Text:The water-supply manager for a Midwestern city needs to supply the city with at least 11 million gallons of potable (drinkable) 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 5 million gallons of potable water, and the pipeline has a
maximum daily yield of 11 million gallons. By contract, the pipeline is required to supply a minimum of 7 million gallons/day. If the cost for 1 million gallons of reservoir
water is $300 and that for pipeline water is $400, how much water should the manager get from each source to minimize daily water costs for the city?
reservoir
million gallons
pipeline
million gallons
What is the minimum daily cost?
$
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