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A box of volume 108 m3 with a square bottom and no top is made of two different materials. The cost of the bottom is

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A box of volume 108 m3 with a square bottom and no top is made of two different materials. The cost of the bottom is $40lm2 and the cost of the sides is $30/m2. Find the dimensions of the box that minimize the total cost. (Use symbolic notation and fractions where needed. Write the objective function with respect to the length of the square bottom.) length of the bottom side: In height of the box: In

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