Hi, tutor. Please help me with my work. Big thanks.

Lily's Grooming Lounge is a business that specializes in grooming dogs. Her grooming process consists of a total of four steps: (A) brushing and trimming the dog's coat, (B) brushing the dog's teeth and cutting nails on all four paws, (C) bathing the dog with shampoo and rinsing, and (D) drying the dog. Right now, Lily has two employees: Kaniel and Brownie. Kaniel is a very experienced dog groomer, having worked in various grooming facilities for the last 10 years. On the other hand, Brownie has little experience and is hoping to learn on the job.

Depending on the worker's experience, each of the four steps takes the amount of time shown in the following table:

Step Experienced Worker (minutes) Inexperienced Worker (minutes)

A. Brushing and Trimming 50 75

B. Teeth and Nails 10 20

C. Bathing 40 60

D. Drying 30 30

In the current process design, dogs flow through each of these four steps in order A B C D. Right now, Kaniel takes care of steps A and B while Brownie handles steps C and D. Lily's Grooming Lounge is open 9 hours per day (from 9:00am until 6:00pm).

(i) What is the capacity in (dogs/hr) of Lily's grooming process in its current design?

(ii) Lily requests that all dog owners drop their dogs off at 9:00am in the morning. As each dog is being finished up, she calls the dog's owner for immediate pick-up. Currently, she accepts 5 dogs each day. Draw an inventory diagram depicting all dogs currently inside of Lily's Grooming Lounge throughout the day. In other words, take a process view of the entire lounge - group both waiting and service together. Then, plot the total inventory, not differentiating whether the inventory is waiting or in service. Make a continuous assumption for convenience and assume there is no resource blocking (i.e., ignore the fact that Brownie cannot work on the first dog until Kaniel finishes steps A and B). In other words, assume inventory immediately draws down at the rate of your capacity.

(iii) On average, how long does a dog spend at Lily's Grooming Lounge?

(iv) How would you reassign jobs to Kaniel and Brownie in order to maximize the capacity of the grooming process? What is the process capacity under your re-design?

(v) On average, how long does a dog now spend at Lily's Grooming Lounge?

(vi) Now, let's focus on the re-designed process. In reality, maybe the continuous assumption is too strong for this quite discrete setting where we only process five dogs. Furthermore, there is a clear start-up effect in the morning because the resource unit performing latter steps cannot begin work until the resource unit performing initial steps passes along the first dog. Draw an inventory build-up diagram that reflects the actual discrete nature of the problem and that captures the initial resource blocking. Hint: It should be a step function. So, on average, how long does a dog actually spend at Lily's Grooming Lounge?