December 1, 2015

Homework Help: Calculus

Posted by Ann on Monday, February 17, 2014 at 10:47pm.

A holding pen for fish is to be made in the form of a rectangular solid with a square base and open top. The base will be slate that costs $4 per square foot and the sides will be glass that costs $5 per square foot. If the volume of the tank must be 50 cubic feet, what dimensions will minimize the cost of construction?

The answer is 5 X 5 X 2, but I don't understand how to get that.

Assuming that length = x, width = x. height = h, these are the two equations I came up with:

(x^2)h = 50
SA = x^2 + 4xh

Am I doing this right?

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