Given the table of setup and queue times as below, if the required part quantity $Q=100$ and the cost rate is $$\frac{80}{h}rs.$ Please answer the following questions.

a$.$ If the shop floor is a job shop, what's the manufacturing lead time? What's the total cost? $(5$ points$)$

b$.$ If the shop floor is a batch shop, what is the manufacturing lead time? What's the total cost? $(5$ points$)$

$\backslash$table$[[$Op No$.,1,2,3,4],[$Setup & Queue $($hrs$),3,6,1\mathrm{.}5,2],[$Processing $($min$),5\mathrm{.}8,8\mathrm{.}5,19,2\mathrm{.}9]]$