could you please show me how to solve this problem? the answers are given, but I need to understand the steps to solve it, please. thanks

4. Marshall Masks offers a portfolio of personal face masks. Their masks are of two

possible material types, reusable cloth and disposable paper, and of two possible

shapes, pleated and tri-fold. To construct a mask, the material is first cut and then

folded into the desired shape. Once formed, each mask is then sanitized and packaged

for sale. It takes 3 minutes to cut each paper mask and 6 minutes to cut each cloth

mask. Then, it takes 6 minutes to fold a pleated mask and 9 minutes to fold a tri-fold

mask. At the current staffing of Marshall masks, there are 2 workers available to cut

paper masks, 3 workers available to cut cloth masks, 1 worker to fold pleated masks, 1

worker to fold tri-fold masks, and 5 workers to sanitize and package the masks.

Naturally, demand for Marshall Masks remains strong. The company receives 30

orders per hour for paper masks and 20 orders per hour for cloth masks. 80% of the

orders for paper masks are for pleated masks, and 70% of the orders for cloth masks

are for tri-fold masks.

a) (3 points) What is the capacity of each cutting station and each folding station?

Answer: 40 masks per hour

Answer: 30 masks per hour

Answer: 10 masks per hour

Answer: 6.7 masks per hour

b) (2 points) If the implied utilization of the sanitization and packaging station is

100%, how long does it take to sanitize each mask, assuming all types of masks

can be sanitized in the same amount of time?

Answer: 6 mins

c) (4 points) What is the capacity of Marshall Masks as a whole?

Answer: 16.7 masks per hour

d) (9 points) Marshall Masks sells their products for the following prices: $10 for

each pleated paper, $15 for each tri-fold paper masks, $20 for each pleated

cloth, and $25 for each tri-fold cloth. All workers are paid $22 per hour, and

Marshall Masks are considering hiring more workers to keep up with demand.

What is the new maximum hourly profit rate after hiring one more worker? What

is it after hiring two more workers?

Answer: -$19.33 per hour after one, and $225.33 per hour after two