10. A 72m open top rectangular tank with a square base x-meter on a side and y-meter deep is to be built with its top flush with the ground to catch runoff water. The costs associated with the tank involve not only the material from which the tank is made but also an excavation charge proportional to C= 50(x the product xy. If the total cost is + 4xy)+100xy, what value of x and y will minimize it?
10. A 72m open top rectangular tank with a square base x-meter on a side and y-meter deep is to be built with its top flush with the ground to catch runoff water. The costs associated with the tank involve not only the material from which the tank is made but also an excavation charge proportional to C= 50(x the product xy. If the total cost is + 4xy)+100xy, what value of x and y will minimize it?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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