Rossum$$s Universal Robots produces an upscale voice$-$activated robot toy, which also has a remote control. It generates $$340$ in revenue if the voice$-$activated component functions properly and costs Rossum $$200$ to manufacture. Those robots that are not sold during the peak holiday season will be subsequently sold at a discount of $$160.$ The estimated demand for the upcoming holiday season is $29,000$ units, with a standard deviation of $2,000$ units.

$1)$ What would be the service level? $(\%$ with $1$ decimal$)$

$2)$ What would be the optimal stocking level?

$3)$ What would be the stockout risk?