The company FeOre is specialized in making rectangular flower boxes with a volume of 0.8 m³. The figure below shows an example of what such an open flower box looks like. Note the square ends on the left and the right! The material to build such a flower box costs €4 per m² for the left and right side, €5 per m² for the front- and backside and €10 per m² for the bottom. H H L a) Show that the cost for building the flower box in terms of the height H can be described by the equation 16 H C(H) = 8H²+ b) Which value of the height H will minimize the total cost needed to build the open flower box? What is the corresponding length of the flower box and the minimal cost in that case?

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