Consider a four$-$station line with a throughput target of three jobs per hour. Suppose the SCV of arrivals to the line is equal to $1\mathrm{.}5.$ Thus, TH $=3$ jobs per hour and for the first station. Set the target cycle time for the line at CT $=18.$ Assume that only one type of machine is available at each station. $(40$ points$)$ StationNumber of MachinesCost $($if needed$)141\mathrm{.}51\mathrm{.}5100220\mathrm{.}78160331\mathrm{.}1290451\mathrm{.}60\mathrm{.}1110$ a$)$ Calculate the Cycle Time $($CT$)$ for the given planb$)$ Is the cycle time greater than $18?$ If so$,$ add machines up until you reach CT of $18$ or less.