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 computer company has manufacturing plants in Raleigh and Palo Alto. The Raleigh plant manufactures 330 keyboards per week, whereas the Palo Alto plant produces 670. The company has stores in Chicago and Denver. The Chicago store orders 590 keyboards per week and the Denver store orders 410. The shipping costs per keyboard from each factory to each store are as follows: Raleigh to Chicago: $7 Raleigh to Denver $10 Palo Alto to Chicago: $12 Palo Alto to Denver: $9
your natural gas bill is calculated as sum of the fixed monthly cost and a rate per therm of natural gas used. given a usage of 183 therms with a bill of $116.05 for this month and a usage of 129 therms with a bill of $85.80 for last month, determind the fixed monthly cost and rate of your bill with appropriate units.
A farmer can buy two types of plant food, mix A and mix B. Each cubic metre of mix Acontains 20 kg of phosphoric acid, 30 kg of nitrogen, and 5 kg of potash. Each cubic metre ofmix B contains 10 kg of phosphoric acid, 30 kg of nitrogen and 10 kg of potash. The minimummonthly requirements are 460 kg of phosphoric acid, 960 kg of nitrogen, and 220 kg of potash.If mix A costs E30 per cubic metre and mix B costs E35 per cubic metre, how many cubicmetres of each mix should the farmer blend to meet the minimum monthly requirements at aminimal cost? What is the cost?
The water-supply manager for a Midwest city needs to supply the city with at least 10 million gal of potable (drinkable) 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 6 million gallons of potable water, and the pipeline has a maximum daily yield of 10 million gallons. By contract, the pipeline is required to supply a minimum of 6 million gallons/day. If the cost for 1 million gallons of reservoir water is $300 and that for pipeline water is $600, how much water should the manager get from each source to minimize daily water costs, C, for the city?
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4. An oil rig lies 20 km off the coast of Newfoundland. A town lies 80 km along the coast from the nearest point on land to the rig. A pipe is to be drilled from the rig to the town. The cost per km of the pipe under water is $2.5 million, but on land is $1.5 million. Find the route that results in the cheapest pipeline, and determine that lowest cost.
In a manufacturing company, the fixed cost is 8,640. The cost of a labour per unit is RO 12, the cost of materials is RO 3 per unit and the cost of manufacturing overheads is RO 6 per unit. What is the total cost if the company produces 800 units? a. RO 8640 b. RO 25,440 c. RO 9600 d. RO 16,800
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.
Denver has a budget of PhP 1600 for his weekly grocery. The table below shows his grocery list with its corresponding prices. Grocery List Price/Kg 2 kg beef PhP 258 2 kg pork cubes PhP 174 2 kg chicken fillet PhP 143 1 kg red onions PhP 80 1 kg garlic PhP 170 10 kg rice PhP 44 2 dozens egg PhP 108/dozen Will his budget be enough to buy what's on his list? Justify your answer. Provide a suggestion if needed.

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