A rectangular tank with a square base, an open top, and a volume of 4,000 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function. 16000 A= s? + (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

4.5 .5

A rectangular tank with a square base, an open top, and a volume of 4,000 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function.
16000
A = s +
(Type an expression.)
The interval of interest of the objective function is
(Simplify your answer. Type your answer in interval notation.)
Transcribed Image Text:A rectangular tank with a square base, an open top, and a volume of 4,000 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function. 16000 A = s + (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.)
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