(Solved): A large corporation with monopolistic control in the marketplace has its average daily costs, in d ...

A large corporation with monopolistic control in the marketplace has its average daily costs, in dollars, given by \[ \bar{C}=\frac{1000}{x}+300 x+x^{2} . \] The daily demand for \( x \) units of its product is given by \( p=120,000-150 x \) dollars. Find the quantity that gives maximum profit. \( x=\quad \) units Find the maximum profit. \( \$ \) What selling price should the corporation set for its product? \( \$ \)