$(30$ pts$)$ In a production system, the interarrival time of parts A is a constant $10$ minutes. Part A is processed by Worker $1,$ and the probability distribution of the processing time is as follows:

$\backslash$table$[[$Service time $($minutes$),7,9,12,14],[$Probability$,0\mathrm{.}25,0\mathrm{.}40,0\mathrm{.}25,0\mathrm{.}10]]$

Part B arrives at constant intervals of $8$ minutes and is processed by Worker $2.$ The processing time for Part B follows a uniform distribution with a minimum value of $1$ minute and a maximum of $7$ minutes.

The final operation in the system is the assembly of parts A and B$.$ This operation can be performed by one of the workers, with priority given to the first idle worker. The assembly process's processing time is a constant $5$ minutes.

Run the simulation model until three products are produced. Determine the waiting time of a product in the processes $($Process $1,$ Process $2,$ and assembly queues$).($Assume that the first parts arrive at time $0)$

$\backslash$table$[[\backslash$table$[[$Random numbers for service$],[$time for Part A$]],0\mathrm{.}21,0\mathrm{.}62,0\mathrm{.}35,0\mathrm{.}82,0\mathrm{.}46,0\mathrm{.}28,0\mathrm{.}11,0\mathrm{.}57,0\mathrm{.}11,0\mathrm{.}46],[\backslash$table$[[$Random numbers for service$],[$time for Part B$]],0\mathrm{.}50,0\mathrm{.}00,0\mathrm{.}20,0\mathrm{.}50,0\mathrm{.}70,0\mathrm{.}60,0\mathrm{.}40,0\mathrm{.}00,0\mathrm{.}20,0\mathrm{.}70]]$