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A large corporation with monopolistic control in the marketplace has its average daily costs, in dollars,...

A large corporation with monopolistic control in the marketplace has its average daily costs, in dollars, given by C = 1500/x + 100x + x2. The daily demand for x units of its product is given by p = 180,000 − 50x dollars. Find the quantity that gives maximum profit.

x =    units

Find the maximum profit.
$ =

What selling price should the corporation set for its product?
$ =

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