SOLUTION: A rectangular box with square base and a fixed volume (V) is to be made from two types of material. The material for the top and bottom costs t cents per square inch and the materi

Question 949300: A rectangular box with square base and a fixed volume (V) is to be made from two types of material. The material for the top and bottom costs t cents per square inch and the material for the sides costs s cents per square inch. Let the length of the base be x and the height be h. Find x and h(in terms of V, t, s) so that the cost is minimal.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

So then,

Substituting,

To minimize C, take the derivative and set it equal to zero.

and

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