Show me elaborate steps to reach every answer given Ryans PPE's is a manufacturing plant that manufacturers then packages and ships

three types of face mask: Product A is a medical grade paper mask, Product B is a

medium grade paper mask, and Product $C$ is a basic low$-$cost mask.

There are two $(2)$ machines that are operated $16$ hours per day that create the

masks. The processing time to manufacture Product A is $4$ minutes, $6$ minutes for

Product B$,$ and $4$ minutes for Product C$.$

Two $(2)$ workers package the masks. The time to package Product A$,$ B$,$ and C

respectively are $3$ minutes, $3$ minutes, and $2$ minutes. Each worker works $8$ hours

per day.

And finally, one $(1)$ worker is responsible for the shipping task for all products $($label

and add postage$).$ Regardless of the product type, it takes $60$ seconds to complete

the shipping tasks. This worker also works $8$ hours per day.

The demand for the products per day is as follows: $100$ units for Product A$,100$ units

for Product B$,$ and $200$ units for Product C$.$ Assume that the demand must be served

in the mix described above $($i$.$e$.,$ for every $1$ unit of $A,$ there is $1$ unit of $B$ and $2$ units

of C$).$

a$.(1$ point$)$ What percentage of a "typical mask" are the Product C$?$

$50\%$

b$.(3$ points$)$ What is the implied utilization of the manufacturing machines?

$93\mathrm{.}75\%$

c$.(3$ points$)$ What is the implied utilization of the packaging workers?

$104\mathrm{.}17\%$

d$.(3$ points$)$ What is the implied utilization of the shipping worker?

$83\mathrm{.}33\%$

e$.(2$ points$)$ What is the implied utilization of Pete's PPE's? Show work.

$104\mathrm{.}17\%$

f$.(6$ points$)$ If all workers were cross$-$trained, which resource is the bottleneck? What is the new implied utilization of Pete's PPE's? NOTE: the machine cannot be cross$-$ trained with the workers.

$104\mathrm{.}17\%$