In a one$-$shift operation, the operating time is $480$ minutes and there are one $30-$minute lunch break and two $15-$minute rest breaks. What is the takt time if the demand rate is $70$ units per day?

Multiple choice question.

$8$ minutes per cycle unit

$5$ minutes per cycle unit

$6$ minutes per cycle unit

$7$ minutes per cycle unit

$10$ minutes per cycle unit