I need the solutions in steps.

Money Laundry has $27$ washers and $25$ dryers. All orders are first sent to wash and then to dry. It takes, on average, $50$ minutes to wash one order and $36$ minutes to dry.

a$.$ What is the capacity of the washing stage?

Note: Round your answer to $2$ decimal places.

Capacity of washing stage

$32\mathrm{.}40$

orders per hour

b$.$ What is the capacity of the drying stage?

Note: Round your answer to $2$ decimal places.

Capacity of drying stage

$41\mathrm{.}68$ orders per hour

c$.$ Identify the bottleneck.

Washer

Dryer

d$.$ What is the capacity of Money Laundry?

$$

d$.$ What is the capacity of Money Laundry?

Note: Round your answer to $2$ decimal places.

Capacity of Money Laundry

orders per hour

e$.$ Money Laundry would like to increase the capacity by buying one more machine, should they buy a washer or a dryer?

Washer

Dryer

The manager, Mr$.$ Money, decided not to buy a machine. He still has $27$ washers and $25$ dryers. The manager estimates that, on average, Money Laundry receives two orders every hour. The manager also finds that, on average, there are six orders in the washing stage and six orders in the drying stage.

f$.$ What is the utilization of washers, on average?

Note: Round your answer to $2$ decimal places.

Average utilization

$\%$

g$.$ What is the utilization of dryers, on average?

$$

Average utilization

$\%$

h$.$ On average, how long does it take an order to finish the washing process, from the time the order is received? Note: Round your answer to $2$ decimal places.

Average time taken

hour

i$.$ On average, how long does it take an order to finish the drying process, from the time the order finishes the washing process? Note: Round your answer to $2$ decimal places.

Average time taken

hour

j$.$ On average, how long does an order stay in Money Laundry?

Note: Round your answer to $2$ decimal places.

Average time taken

hour