The value stream map in Figure $7\mathrm{.}1$ shows that there are $5$ processes involved in processing a mobile phone, machining, component mounting, assembling, testing and packaging. Information regarding the availabilities, setup times and processing times at each of these five processes is shown in Table $7\mathrm{.}1.$

Table $7\mathrm{.}1$ processing and setup times for the mobile phone at Motorola

Plant Availability $(\%)$ Setup time in minutes Cycle time in seconds

Machining $953045$

Component mounting $100040$

Assembling $90015$

Testing $80520$

Packaging $901020$

Given that the daily demand is $500$ units with a batch size of $500$units.Workers at Motorola work one day shift $7\mathrm{.}5$ hours long and a night shift $2\mathrm{.}5$ hours long.

Calculate:

The takt time in seconds $72$

The production lead time in days Blank $2$

The total processing time in seconds $140$

The capacity of the work cell Blank $4$