he water-supply manager for Minneapolis needs to supply the city with at least 13 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 14 million gallons of potable water, and the pipeline has a maximum daily yield of 7 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 $500 and the cost for 1 million gallons of pipeline water is $370, 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?
The water-supply manager for Minneapolis needs to supply the city with at least 13 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 14 million gallons of potable water, and the pipeline has a maximum daily yield of 7 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 $500 and the cost for 1 million gallons of pipeline water is $370, 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?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
