calculus
a company is designing shipping crated and wants the volume of each crate to be 4 cubic ft and the crate;s base to be a square between 1 and 1.5 ft per side. if the material for the bottom costs $5, and the side $3 and the top $1 per square foot. what dimension will give the minimum cost?
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The minimum cost will be achieved when the base of the crate is a square with a side length of 1 foot. This will give a total cost of (5 x 1 x 1) + (3 x 3 x 1) + (1 x 2 x 1) = $16. The volume of the crate will be 1 cubic foot since the length times the width times the height will equal 1 x 1 x 1 = 1.
