Hard to solve

Question1

The water-supply manager for Philadelphia needs to supply the city with at least 16 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 21 million gallons of potable water, and the pipeline has a maximum daily yield of 15 million gallons. By contract, the pipeline is required to supply a minimum of 14 million gallons per day. The cost for one million gallons of reservoir water is $380 and the cost for one million gallons of pipeline water is $415.

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?

Amount of water from the Reservoir = ( )million gallons Amount of water from the Pipeline =( ) million gallons Minimum daily water cost = $ ( )