$4\mathrm{.}1$ Determine $($a$)$ t he required hourly production rate and $($b$)$ the cycle time for a manual assembly line that will be used to produce a product with a work content time of $75$min and an annual demand of $150,000$ units, if the plant operates $50w\frac{k}{y}$ear,$5$ days$/$wk$,$ and $8h$r$/$day$.$ It is anticipated that the line efficiency will be $94\%.$