$3.$ For a particular operation, the setup time is $10$ minutes, and the run time is $50$ minutes to produce a standard lot of $50$ parts. It takes three additional hours to circulate a container of parts after production is completed. The demand rate is $40,000$ parts per month. There are $250$ production hours in a month. $(1$ point$)$

a$.$ How many standard containers are needed?

n $=$ D$($T$)/$ C Use the following inputs:

Demand rate $($D$)=\_\_\_\_\_\_\_\_$ parts $/$ hour

Lead Time $($L$)=\_\_\_\_\_\_\_\_$ hours

Container size $($C$)=\_\_\_\_\_\_\_\_$ parts

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