At a career fair there are two types of job seekers, ones with low experience (Elow) and those with high experience (Ehigh). 70 Elows arrive per hour and 30 Ehighs arrive per hour. The Elows first meet with a coach to go over their resume and to get interviewing tips. Coaching takes 10 minutes and there are 11 coaches. The Ehighs skip coaching and go directly to interviews with prospective employers. There are 40 employers doing interviews. Each interview with an Elow takes 15 minutes. Each interview with an Ehigh takes 30 minutes.

Instructions: Round all answers to 1 decimal place.

(a) What is the implied utilization (%) for each step in this process?
Coaching %
Interviews %
(b) What are the actual and maximum flow rates of each type of job seeker per hour?

Elows per hour
Ehighs per hour

Check the explanation

Explanation:

Coaching

Implied utilization

Arrival of Elows = 70 per hour

Coaching time = 10 mins per Elow

Total Workload= 70*10 = 700 coaching mins

Available coaching hours = 11*60 = 660 mins

Implied utilization = Total demand / Available capacity

= 700/660

= 1.0606

Maximum flowrate = 660/10 = 66 Job seekers per hour ( or Elows per hour)

Actual flowrate = 66 Job seekers per hour (as this process is bottleneck)

Interview process

Total workload = 70*15+30*30

=1950 mins

Available capacity = 40*60 = 2400 mins

Implied Utilization = 1950/2400 = 0.8125

Expected interview time = (0.70*15+0.30*30)

Maximum flow rate = 2400/(0.70*15+0.30*30)

=123.0769 job seekers per hour

Actual flow rate:

Actual arrival rate of Elows (from Coaching process) =66 Elows per hour

So, Total arrivals =66+30 = 96

Since, this process has capacity more than demand

Actual flow rate = 96 job seekers per hour

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