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A 1125 m³ open-top rectangular tank with a square base x m on a side and y m 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 the product xy. a) If the total cost to build the tank is express as c = +4xy)+10xy, use the first and second derivative test to find the values of x and y that contributes to the lowest cost of building the tank. b) Breakdown the cost function based on its material, labour and excavation charge. What is the cheapest cost building the tank?

A 1125 m³ open-top rectangular tank with a square base x m on a side and y m 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 the product xy. a) If the total cost to build the tank is express as c = +4xy)+10xy, use the first and second derivative test to find the values of x and y that contributes to the lowest cost of building the tank. b) Breakdown the cost function based on its material, labour and excavation charge. What is the cheapest cost building the tank?

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.CT: Test
Problem 11CT: aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _
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A 1125 m³ open-top rectangular tank with a square base x m on a side and y m 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 the product xy. a) If the total cost to build the tank is express as c = + 4xy)+10xy, use the first and second derivative test to find the values of x and y that contributes to the lowest cost of building the tank. b) Breakdown the cost function based on its material, labour and excavation charge. What is the cheapest cost building the tank?
Transcribed Image Text:A 1125 m³ open-top rectangular tank with a square base x m on a side and y m 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 the product xy. a) If the total cost to build the tank is express as c = + 4xy)+10xy, use the first and second derivative test to find the values of x and y that contributes to the lowest cost of building the tank. b) Breakdown the cost function based on its material, labour and excavation charge. What is the cheapest cost building the tank?
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