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please show work A rectangular shipping container with an open top is to have a volume of 27,200 ft . The length of its base

please show work

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A rectangular shipping container with an open top is to have a volume of 27,200 ft . The length of its base is five times the width. Material for the base costs $30 per square foot. Material for the sides costs $15 per square foot. Find the dimensions of the container that minimize the cost. Be sure to draw a diagram of the situation and label appropriately

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