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Statement of a problem № m66689

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A rectangular box with volume 320 ft3 is built with a square base and top. The cost is $1.50 / ft2 for the bottom, $2.50 / ft2 for the sides, and $1 / ft2 for the top. Let x = the length of the base, in feet. (a) Express the cost of the box as a function of x. (b) Find the domain of the function. (c) Graph the function with a graphing calculator. (d) What dimensions minimize the cost of the box?




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