Question

(multivariable calculus)
a rectangular shipping crate must have 24 ft^3 capacity. it cost 2$ /ft^2 to make the top and bottom 3 $/ft^2 to make front and back 4 ft^2 to make the other two sides .find the minimum cost to make such crate.

Answer 1

@phi @mathmale

Answer 2

@eliassaab

Answer 3

draw a box lol

Answer 4

So we need to find min 4xy+6xz+8yz

With xyz=24
x>0 & y>0 & z>0