(a) An op-amp is ideal except it has a finite open-loop gain of \(A_{O L}=2 \times 10^{3}\). The op-amp is connected in an inverting configuration. Determine \(R_{2} / R_{1}\) such that the closed-loop voltage gain is \(A_{C L}=-15.0\).

(b) Using the results of part (a), what is the closed-loop gain if the open-loop gain is \(A_{O L}=5 \times 10^{4} ?\)