mith Corporation produces cast bronze valves for use in oil rigs. Currently, Smith Corporation produces $220$ valves per hour per employee, $5$ days per week. There are $6$ employees that work in the casting department. Each employee works $9$ hours per day. Due to regular schedule maintenance on the production process, the machines will be down $3\mathrm{.}8\%$ of the available time. The efficiency level for the process is $91\%$

a$.$ What is the maximum weekly theoretical $($design$)$ capacity at Smith Corp.?

b$.$ What is the effective capacity?

c$.$ What is the actual output based on the information given?

d$.$ How utilized is the production process?

e$.$ If the company's output was $185$ valves per employee per hour the week, what percent of design capacity was actually achieved?