(Solved): 6 The following function is a company's price function, where \( p \) is the price (in dollars) at w ...

The following function is a company's price function, where \( p \) is the price (in dollars) at which quantity \( \times \) (in thousands) wil be sold. \[ p=900 e^{-0.5 x} \] (a) Find the revenue function \( R(x) \). [Hint: Revenue is price times quantity, \( p \cdot x \).] . \[ R(x)= \] (b) Find the quantity and price that will maximize revenue. (Round your answers to two decimal places.) \[ \begin{array}{l} x= \\ p=\$ \end{array} \] thousand units