question archive The water supply manager for a Midwest city must find a way to supply at least 10 million gallons of potable water per day (mgd)

The water supply manager for a Midwest city must find a way to supply at least 10 million gallons of potable water per day (mgd)

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The water supply manager for a Midwest city must find a way to supply at least 10 million gallons of potable water per day (mgd). The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. The local reservoir has a daily yield of 5 mgd which may not be exceeded. The pipeline can supply no more than 10 mgd because of its size. On the other hand, by contractual agreement it must pump out at least 6 mgd. Finally, water reservoir costs P6,000 for 1 million gallons and pipeline water costs P10,000 for 1 million gallons. How can the manager minimize daily water costs?

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