The process you have been asked to model has three steps: drill, weld, and paint. Sam operates the drill and earns $\backslash$$$10/$hour$,$ Adam operates the welder and earns $\backslash$$$12/$hour $,$ and Jane operates the paint booth and earns $$15/$hour$.$ You have verified the following completion$/$duration$/$cycle times by watching each operation over a week and recording the time it took to complete each unit. Data gathered from drill completion$/$duration$/$cycle times per unit indicate that those times are normally distributed with a mean of two hours and a standard deviation $($SD$)$ of $15$ minutes.