$1.$ Without considering the production phases or the Las Vegas show, what is the optimal production quantity of each style?

$2.$ Make a recommendation for how many units of each style Wally Obermeyer should order during the initial phase of production $($i$.$e$.,$ allocate the $10,000$ units production commitment before the Las Vegas show$).$ Justify your recommendation.

$3.$ What operational improvements would you recommend to Wally and the supply chain partners? Explain the benefit of the recommended improvements.