$7.$ Design a noninverting amplifier that has a closed$-$loop voltage gain of $11.$ Use an ideal op amp. The magnitude of the output voltage is limited to $15$ V $,$ and the maximum current in the circuit is limited to $\backslash (80\backslash$mu $\backslash$mathrm$\{$~A$\}\backslash ).(15$ points$)$

$(1)$ Find $\backslash ($ R$\_\{1\}\backslash )$ and $\backslash ($ R$\_\{2\}\backslash )$ to design a noninverting amplifier $($Use the smallest resistor values that will satisfy these constraints.$).$

$\backslash (>\backslash )$ Answer: $\backslash ($ R$\_\{1\}=\backslash )$

$\backslash (>\backslash )$ Answer: $\backslash ($ R$\_\{2\}=\backslash )$

$(2)$ Draw a schematic diagram of your circuit.

Answer: