The water-supply manager for Kansas City needs to supply the city with at least 19 million gallons of potablewater per day. The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. Thelocal reservoir has a maximum daily yield of 22 million gallons of potable water, and the pipeline has amaximum daily yield of 13 million gallons. By contract, the pipeline is required to supply a minimum of 6million gallons per day. If the cost for 1 million gallons of reservoir water is $400 and the cost for 1 milliongallons of pipeline water is $315, how much water should the manager get from each source to minimize dailywater costs for the city? What is the minimum daily water cost?Minimum daily water cost: $Pipeline:million gallonsReservoir:million gallons

Answered: Image /qna-images/answer/4f819728-f5ce-4b96-a129-1f03a5b680aa.jpg

Answered: The water-supply manager for Kansas…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A landscape contractor is hired to cultivate ornamental plants in three new residential developments. The contractor charges the developer for each tree cultivated an hourly rate to cultivate the ornamental plants, and a fixed delivery charge. In one development it took 211 labor hours to cultivate 244 ornamental plants for a cost of $9,394. In a second development it took 128 labor hours to cultivate 283 ornamental plants for a cost of $8,270. In the final development it took 165 labor hours to cultivate 386 ornamental plants for a cost of $10,938. In total 504 labor hours were taken and 913 ornamental plants were cultivated. 1. Using Cramer’s Rule of the Inverse Method, determine the cost for each tree, the hourly labor charge, and the delivery charge.
The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can stop for gas and servicing. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 6 boats per hour and that the service rate for each server is 12 boats per hour. (Round your answers to four decimal places. Report time in hours.) (a) What is the probability that the boat dock will be idle? ________ (b) What is the average number of boats that will be waiting for service? ________ (c) What is the average time a boat will spend waiting for service? _______ h (d) What is the average time a boat will spend at the dock? ________ h
The dams in and around Cape Town form part of the Western Cape Water Supply System, which is an integrated and collectively managed system of dams, pump stations, pipelines, and tunnels. In addition to servicing Cape Town, the system supplies water to towns in the Overberg, Boland, West Coast, and Swartland areas, and provides irrigation water for agriculture. The change in depth of the Steenbras dam from one day to the next, measured (in feet) at in Cape Town, is a random variable Y with the following density function: f(y) = 2 < y< 4, elsewhere. 2.4.1. Define the random variable Y. 2.4.2 State what type of distribution does Y follow and why: 2.4.3. Find E (Y) and interpret your answer.
The number of collection vehicles a community would need for solid waste collection in a certain municipality is 6 trucks. Find a total number of services (customers) that are to be collected once per week during 4 working days. (Realistically, most trucks can service only about 200 to 300 customers before the truck is full and a trip to the landfill is necessary).
The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can stop for gas and servicing. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 3 boats per hour and that the service rate for each server is 9 boats per hour. (Round your answers to four decimal places.) (a) What is the probability that the boat dock will be idle? (b) What is the average number of boats that will be waiting for service? (c) What is the average time (in hours) a boat will spend waiting for service? h (d) What is the average time (in hours) a boat will spend at the dock? h (e) If customers expect to be able to be in and out of the marina within 10 minutes on average, does this system provide acceptable service? ---Select--- V since the average time a boat will…
A supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens, GA; St. Luis, MO). The supplier can ship every day, every other day, or every third day. There is a penalty of $0.30/cwt for each day delayed. Consolidating shipments allows for lower transportation costs from larger loads, but incurs penalty costs due to the delay. Transportation Rate (S/cwt) Shipment City Weight/day LTL 50,000 lb 50000 lb Chicago, IL 18,000 lb (180 cwt) 1.50 1.25 Athens, GA 15,000 lb (150 cwt) 1.35 1.00 St. Luis, MO 12,000 lb (120 cwt) 2.00 1.50 Total 45,000 Ib = 450 cwt Find what is the cost for the following: Shipping Every Day Shipping on the alternate Day (every two days) Shipping every three Day

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