Answer the questions $3-4$ based on the following information:

In Oakville Ontario, Ford Cars assembly line with $51$ tasks is to be balanced. The longest task is $4\mathrm{.}2$ minutes, and the total time for all the tasks is $54$ minutes. The cars assembly line will operate $18$ hours per day.

What is the cycle time if the output rate is to be $360$ cars per day? Answer in minutes per car