For a particular operation, the setup time is $10$ minutes and the run time is $50$ minutes to produce a standard lot of $40$ parts. It takes three additional hours to circulate a container of parts after production is completed. The demand rate is $20,000$ parts per month. There are $160$ production hours in a month.

a$.$ How many standard containers are needed? $($Round your answer up to the next integer.$)$

b$.$ What is the takt time of this process?