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A rectangular box with an open top has a square bottom and a volume of 256 m3. Find the dimensions of the box that will

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A rectangular box with an open top has a square bottom and a volume of 256 m3. Find the dimensions of the box that will result in it having the smallest possible surface area. Width of Box: m Height of Box: m The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 396 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 6 dollar increase in rent. Similarly, one additional unit will be occupied for each 6 dollar decrease in rent. What rent should the manager charge to maximize revenue? Answer: $ [Recall: Revenue is the product of price per unit and number of units rented]

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