Question

PA 4-4 (Algo) Mr. K's is a very popular hair salon. It... Mr. K's is a very popular hair salon. It offers high-quality hairstyling and physical relaxation services at a reasonable price, so it always has unlimited demand. The service process includes five activities that are conducted in the sequence described next (the time required for each activity is shown in parentheses): Activity 1: Welcome a guest and offer homemade herb tea (9 minutes). Activity 2: Wash and condition hair (9 minutes). Activity 3: Neck, shoulder, and back stress-release massage (9 minutes). Activity 4: Design the hairstyle and do the hair (22 minutes). Activity 5: Check out the guest (8 minutes). Three servers (S1, S2, and S3) offer the services in a worker-paced line. The assignment of tasks to servers is the following: S1 does Activity 1, S2 does activities 2 and 3, and S3 does activities 4 and 5.

Answer 1

a. labor content = 9+18+30 = 57 minutes

b.
Idle time at S1 => 30-9 = 21 minutes
Idle time at S2 = 30-18 = 12 minutes

total idle time = 21+12 = 33 minutes

average Labor utilization = (labor content/(labor content + total idle time)*100 = (57/(57+33))*100 = 63.33333333% = 63.33% (rounded to 2 decimal places)

c.

cost of direct labor = hourly wage/flow rate = (3*24)/(60/30) = 36 per customer

d.

Additional resource would help S3 shifting bottleneck to S2

cost of direct labor = hourly wage/flow rate = (3*24)/(60/18) = 21.6 per customer

e.

S3 will still be bottleneck however flow rate will increase

cost of direct labor = hourly wage/flow rate = (3*24)/(60/22) = 26.4 per customer

f.

one additional worker to be assigned to activities 4 and 5. Now, Additional resource would help S3 shifting bottleneck to S2.

process capacity = 60/18 = 3.333333333 customers per hour = 3.33 customers per hour (Rounded to 2 decimal places)

g.

It will still keep S3 as bottleneck with processing time per unit as 26 minutes

So process capacity = 60/26 = 2.307692308 = 2.31 customers per hour (Rounded to 2 decimal places)