Assignment:
Eye-Mart (E-M) is a chain of discount optical shops that can fill most eyeglass prescription orders in about 2 hours. An analyst at the headquarters of the chain is studying the processes at the stores. Patients arrive at an E-M shop at the average rate of 1.5 per hour. Currently, there is one optometrist and two assistants performing all the tasks, with the exception of the actually eyeglass construction done by a machine.
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Task
|
Time
|
Person
|
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Greet/register the patient
|
10 min./patient
|
Assistant-1
|
|
Optometrist conducts eye exam
|
30 min./patient
|
Optometrist
|
|
Frame/lenses selected
|
35 min./patient
|
Assistant-2
|
|
Glasses made
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30 min./patient
|
Machine
|
|
Final fitting of glasses
|
15 min./patient
|
Assistant-1
|
For the following analyses, assume the shop is open for business 8 hours per day and that a patient purchases one pair of glasses.
If there is one optometrist and two assistants (type-1 doing greeting and final fitting, type-2 doing frame/lenses selecting):
- What are the individual utilizations of the two assistants and the optometrist?
- What is the collective utilization of the three workers?
- What is the current maximum capacity of the shop per day (in number of patients)?
- If a fourth worker is added:
- Should it be another optometrist, type-1 assistant, or type-2 assistant?
- What would be the new maximum capacity of the shop per day?
Provide complete and step by step solution for the question and show calculations and use formulas.