Optimization

A rectangular storage container with an open top is to have a volume of 10 m^3. The length of its base is twice the width. Material for the base costs $3 per m^2. Material for the sides costs $0.4 per m^2. Find the dimensions of the container which will mimimize cost and the minimum cost.

Question

Optimization

A rectangular storage container with an open top is to have a volume of 10 m^3. The length of its base is twice the width. Material for the base costs $3 per m^2. Material for the sides costs $0.4 per m^2. Find the dimensions of the container which will mimimize cost and the minimum cost.

unklerhaukus · Answer

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unklerhaukus · Answer

find an expresion for the volume and ,
 and expresion for the area of the box

anonymous · Answer

like what is the general volume of a cube and Area?

unklerhaukus · Answer

its a rectangular prism

anonymous · Answer

my bad...
V= 2w*w*h?

unklerhaukus · Answer

right

unklerhaukus · Answer

and whats SA?, (dont forget that this box has no lid )

anonymous · Answer

err... ;/ multiplying the sides and then adding the totals together? I'm not sure how to express it...

unklerhaukus · Answer

maybe it is easier to look at the sides and base separately ,

what is the SA of the base?

unklerhaukus · Answer

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