A rectangular storage container with an open top is to have a capacity of 111 in.3. The length of this base is 3 times the width. What should the dimensions of the container be to minimize the construction cost? Round your answers to two decimal places, if necessary. Let x be the width (in in.) of the base of the container, and h be the height (in in.) of the container. in Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = (b) State the domain of this function. (Enter your answer using interval notation.)

A rectangular storage container with an open top is to have a capacity of 111 in.3. The length of this base is 3 times the width. What should the dimensions of the container be to minimize the construction cost? Round your answers to two decimal places, if necessary. Let x be the width (in in.) of the base of the container, and h be the height (in in.) of the container. in Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = (b) State the domain of this function. (Enter your answer using interval notation.)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...

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