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A box is contructed out of two different types of metal. The metal for the top...

A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $2 per square foot and the metal for the sides costs $2 per square foot. Find the dimensions that minimize cost if the box has a volume of 25 cubic feet. Length of base x= Height of side z=?

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Answer #1

In this question first we find the cost function and then to find minimum cost we have find its derivative and equate it to zero to find the dimension . Hope you understand the solution.

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