Suppose in Example $11\mathrm{.}1$ that two part types are made at the workstation. Four part type $1\text{'}$s and six part type $2\text{'}$s arrive per week. Service rate is $12$ per week for both types. Interarrival and service times are exponential. Determine the difference in throughput time and queue lengths for the two part types if part type $1$ is given higher priority