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Suppose that when manufacturing three different products, a company is able to make a profit of $4 on each unit of the first product, while the profits on the second and third types of products are $2 and $4 per unit, respectively. Let x, y, and z denote thousands of units produced from each product. Step 2 of 2: Assuming that the manufacturing process is under the constraint x² + y² +2²576, find the maximum profit for the company under these conditions. Round your answer to the nearest cent if necessary,