(a) Design an ideal summing op-amp circuit to provide an output voltage of \(v_{O}=-2\left[\left(v_{I 1} / 4\right)+2 v_{I 2}+v_{I 3}\right]\). The largest resistor value is to be \(250 \mathrm{k} \Omega\).

(b) Using the results of part (a), determine the range in output voltage and the maximum current in \(R_{F}\) if the input voltages are in the ranges \(-2 \leq v_{I 1} \leq+2 \mathrm{~V}, 0 \leq v_{I 2} \leq 0.5\mathrm{~V}\), and \(-1 \leq v_{I 3} \leq 0 \mathrm{~V}\).