Web Analytics
Answered

Applied Optimization

I just need to know how to get started.

A Rectangular tank that is 6912 ft^3 with a square bbase and open top is to be constructed of sheet ssteel of a given thickness. FIND THE DIMENSIONS OF THE TANK WITH THE MINIMUM WEIGHT.

Verified Answer :

Edufirst

Minimum weight => minimum area

Area = area of the base + area of the four sides

Length of the side of the square base: x

area of the base = x^2

area of the other four sides = 4 x height

Now you have to put height in therms of x using the volume formula:

Volume = area of the base height => height = Volume / area of the base

height = 6912 / x^2 => area of the four sides = 4x*6912 / x^2 = 27648 /x

Total area = x^2 + 27648/x

That is the function that you have to optimize (find the derivative and equal it to zero).

I think this is enough information to you develop the proble,

Related Questions