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The volume of a square-based rectangular box is 252 dm^3. The construction cost of the bottom...

The volume of a square-based rectangular box is 252 dm^3. The construction cost of the bottom is $5.00 per dm^2. of the top is $2.00 per dm^2 and of the sides is $3.00 per dm^2. Find the dimensions that will minimize the cost if the side of the base must fall between 4 dm and 8 dm.

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