A toy manufacturer uses $48,000$ rubber wheels per year for its popular dump truck series. The company can make its own wheels at a rate of $400$ per day. The toy trucks are assembled uniformly over the entire year. Holding cost is $$2\mathrm{.}00$ per wheel per year. Setup cost for a production run of wheels is $$45.$

What is the optimal production run quantity? Round your answer to the nearest integer.

What is the cycle length in days? Round your answer to $1$ decimal place; e$.$g$.,9\mathrm{.}2$

What is the production run length in days? Round your answer to $1$ decimal place.

What is the maximum on$-$hand inventory level during a cycle? Round your answer to the nearest integer.

What is the inventory turnover ratio? Round your answer to $1$ decimal place.