Utilization temporarily $>100\%$: Packages arrive at a facility at a rate of $35$ per hour and are processed continuously at a rate of $30$ per hour. The facility is open for arrivals from $8$ a$.$m$.$ to $4$ p$.$m$.,$ but the processing continues till the last arrival is processed. Assuming there is no variability, how long does the last package wait before it is completely processed?

Note: This question is motivated by the National Cranberry Cooperative case environment or the International Cranberry Uncooperative Module $3$ Practice Problem, but the question is about waiting time. The Waiting Line Models and Formulas do not apply here because the arrival rate is higher than the processing rate so the utilization is higher than $100\%$ between $8$ a$.$m$.$ and $4$ p$.$m$.,$ but you should still be able to figure out how many packages queue up in the system and when the last package is processed.

Group of answer choices:

$1\mathrm{.}75$ hours

$1\mathrm{.}60$ hours

$1\mathrm{.}33$ hours

$1\mathrm{.}20$ hours