Question

Asked Nov 7, 2019

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A worker is to construct an open rectangular box with a square base and a volume of 147 ft^{3}. If material for the bottom costs $6/ft^{2 }and material for the sides costs $7/ft^{2 }what dimensions will result in the least expensive box? What is the minimum cost?

Let x be the length of one side of the base of the box. Express the total cost of the materials, C, in terms of x.

Step 1

Consider the given informa...

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