a large bin for holding heavy material must be in the shape of a box with an open top and square base.the base will cost $7 a square foot and sides cost $9 a foot if the volume must be 170 cubic...

a large bin for holding heavy material must be in the shape of a box with an open top and square base.the base will cost $7 a square foot and sides cost $9 a foot

if the volume must be 170 cubic feet. find the dimesions that will minimize the cost of the box's  contruction

base:

each side:

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Let us assume the base dimension as xft and height of the box as yft.

Volume of the box `(V) = x*x*y`

 

`170 = x*x*y`

   `y = 170/x^2`

 

We have one square base and four side faces in the box.

If the cost of construction is A;

`A = x^2*7+4*x*y*9`

`A =...

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