Is this optimization problem missing information?

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Homework Help Overview

The problem involves optimizing the dimensions of a tank with a square base and an open top, given a fixed volume. The original poster expresses concern about missing information related to weight, which is crucial for the optimization process.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster questions whether the problem is solvable with the provided information, particularly regarding the relationship between weight and surface area. Some participants discuss the irrelevance of a constant in the weight equation.

Discussion Status

The discussion has seen some participants providing insights into the relationship between weight and surface area, while the original poster seeks clarification on the problem's solvability. There is a mix of exploration and confirmation of understanding among participants.

Contextual Notes

The original poster notes a lack of specific values or relationships related to weight, which they believe may hinder the problem-solving process.

mharten1
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Homework Statement



A 5324 cubic foot tank with square base and an open top is to be constructed of a sheet of steel of a given thickness. Find the length of a side of the square base of the tank with minimum weight.

Homework Equations


The Attempt at a Solution



I'm usually fairly decent at optimization questions. Is this solvable with the given information? It seems to me to be missing something because no values or relationships are ever assigned to weight. I don't even know where to start; I can easily set up an equation for volume, but I also need to find an equation for weight. If you think it's solvable, please do not give me the solution. Just nudge me in the correct direction. :)
 
Last edited:
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The weight of the tank is some constant times the surface area of the tank.
When you try to solve it, you'll find this constant is irrelevant. :)
 
Thanks, I was able to solve it perfectly. :P
 
You're welcome! :smile:
 

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