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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