Consider the following $5$ station system, which has a higher arrival rate to station $5$ due to necessary re$-$work at that station.StationFixedCostUnitCostArrivalRate per hourhours$)150050300\mathrm{.}1512400200300\mathrm{.}250\mathrm{.}53300300300\mathrm{.}3514200400300\mathrm{.}2525100500450\mathrm{.}151$What is the minimum cost, capacity feasible number of machines to install at Station $4?3$ ptsQuestion $4$Using the same information as above, what is the optimal $($minimum cost$)$ number of machines to put at station $1$ in order to keep total cycle time under $2\mathrm{.}5$ hours? Assume the arrival coefficient of variation to station $1$ is $1.$