2. Pencils remain the most popular writing tool for high school maths students. A pencil manufacturer sells packets of 12 pencils to a nation- wide office supply store for $4 per packet. The manufacturer's costs of production to produce x-thousand packets are given by the cost function C(x) = 0.1x³ – 6x² + 1600x + 15000. How many packets should the manufacturer produce in order to maximise its profit? -

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