A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If material for the bottom costs $6/ft2 and material for the sides costs $7/ft2 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.
Consider the given informa...
Box has square base Side of the aquare=x; Volume of the box (V) - 147ft Material cost for the bottom (C,) $6 /ft Material cost for the sides(C,)= $7/ ft
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