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The water-supply manager for Kansas City 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 22 million gallons of potable water, and the pipeline has a maximum daily yield of 13 million gallons. By contract, the pipeline is required to supply a minimum of 6 million gallons per day. If the cost for 1 million gallons of reservoir water is $400 and the cost for 1 million gallons of pipeline water is $315, 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

The water-supply manager for Kansas City 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 22 million gallons of potable water, and the pipeline has a maximum daily yield of 13 million gallons. By contract, the pipeline is required to supply a minimum of 6 million gallons per day. If the cost for 1 million gallons of reservoir water is $400 and the cost for 1 million gallons of pipeline water is $315, 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

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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The water-supply manager for Kansas City 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 22 million gallons of potable water, and the pipeline has a maximum daily yield of 13 million gallons. By contract, the pipeline is required to supply a minimum of 6 million gallons per day. If the cost for 1 million gallons of reservoir water is $400 and the cost for 1 million gallons of pipeline water is $315, 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
Transcribed Image Text:The water-supply manager for Kansas City 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 22 million gallons of potable water, and the pipeline has a maximum daily yield of 13 million gallons. By contract, the pipeline is required to supply a minimum of 6 million gallons per day. If the cost for 1 million gallons of reservoir water is $400 and the cost for 1 million gallons of pipeline water is $315, 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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