Consider a three$-$station line with a throughput target of $50$ jobs per $24$ hours, and an arrival variation coefficient of $1.$ Use the facts presented in the below table to:

a$.$ Evaluate the cost of constructing a minimum balanced and feasible line and calculate the utilization per each machine.

b$.$ Determine whether the constructed line in part a is capable to achieve a cycle time of $11$ hours, and calculate the departure variation coefficient of each station.

c$.$ If the budget allows only to add one machine, suggest in which station it should be added.

$\backslash$table$[[$Station$,\backslash$table$[[$Fixed Cost$],[($KWD$)]],\backslash$table$[[$Unit Cost$],[($KWD$)]],\backslash$table$[[$Effective$],[$Processing Time$],[$ Hour