$3\mathrm{.}2$ A small electrical appliance is to be produced on a single$-$model assembly line. The work content of assembling the product has been reduced to the work elements listed in Table A$.$ The table also lists the times for each element and the precedence order in which they must be performed. The line is to be balanced for an annual demand of $10000$ units each year. The line will operate $50$ week a year, $5$ straight shifts per week.These shifts take a duration of $8$ hours per day in a shift, however, there is $45$ minutes break in it$.$ There will be one worker per station. Previous experience suggests that the uptime efficiency for the line will be $83\%,$ and repositioning time lost per cycle will be $0\mathrm{.}03$ min. The production rate is $0\mathrm{.}83$ units per hour the cycle working time $($Tw$)$ is calculated to be $4\mathrm{.}5$ minutes$\mathrm{.}3\mathrm{.}2\mathrm{.}1$ Determine the cycle time $($Tc$)\mathrm{.}3\mathrm{.}2\mathrm{.}2$ Determine the minimum number of workers required on the line$\mathrm{.}3\mathrm{.}2\mathrm{.}3$ Determine the service time $($Ts$)$ to which the line must be balanced.$(2)(2)(2)3\mathrm{.}3$ Discuss that major functions of manufacturing system that enables to perform work cycle flexible.