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A box is constructed out of two different types of metal. The metal for the top...

A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $2 per square foot and the metal for the sides costs $6 per square foot. Find the dimensions that minimize cost if the box has a volume of 15 cubic feet. Length of base x= ___Height of side z=___

The manager of a large apartment complex knows from experience that 80 units will be occupied if the rent is 320 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 4 dollar increase in rent. Similarly, one additional unit will be occupied for each 4 dollar decrease in rent. What rent should the manager charge to maximize revenue?

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