Question

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 (12 minutes).
  • Activity 2: Wash and condition hair (12 minutes).
  • Activity 3: Neck, shoulder, and back stress-release massage (12 minutes).
  • Activity 4: Design the hairstyle and do the hair (36 minutes).
  • Activity 5: Check out the guest (9 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.

Instruction: Do not round your intermediate calculations. Round your final answers to 2 decimal places. a. What is the labor

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Answer #1

Output of S1 = 60/12 =5 per hour

Output of S2 = 60/ ( 12+12) = 2.5 per hour

Output of S3 = 60/ (36+9) =1.33 per hour

Bottleneck is resource 3 with output of 1.33 customers per hour

Utilisation = utilsed capacity / max capacity

Utilisation of S1 = 1.33/5 = 0.266

Utilisation of S2 = 1.33/2.5 =0.532

Utilisation of S3 =1.33/1.33 = 1

Avg utilisation = 1+0.266+0.532 /3 =0.5993 = 60%

2. cost of drect labour per customer = 24x3 /1.33 =54

3. If one more resource is hired, it will go to S3, which is bottleneck. The output of bottleneck will now be 2.66, and the new bottleneck will now be S2 with an output of 2.5 customers per hour

New cost per customer = 24x4 / 2.5 = 38.4

4.

New output

S1 = 60/(12+9) = 2.8571 per hour

S2 = 60/24 = 2.5 per hour

S3 =60/36 = 1.66 per hour

The bottleneck is still S3, with output of 1.66 per hour

Cost per customer = 24 x3 / 1.66 = 43.37

Note; As per Chegg policies, I can answer first four parts of a problem. INconvenience is regretted.

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