Question 1  The process for handling insurance claims at a branch of the Green Insurance Company has an average flow rate of 1 claim per minute. Branch manager Shauna Green has measured the average time spent by a claim in this process from start to end to be 1.5 hours. How many claims are in the process on average? Show your work including any formula you use. Round your answer to the nearest whole number.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 1 

The process for handling insurance claims at a branch of the Green Insurance Company has an average flow rate of 1 claim per minute. Branch manager Shauna Green has measured the average time spent by a claim in this process from start to end to be 1.5 hours. How many claims are in the process on average? Show your work including any formula you use. Round your answer to the nearest whole number.

Question 2

In Children’s Hospital in Seattle, there are, on average, 84 births per week. Mothers stay, on average, 3 days before they leave the hospital. On average, how many mothers are staying in Children’s Hospital? Show your work including any formula you use. Round your answer to the nearest whole number.

The information in this paragraph applies to this question and the four questions that follow (so, questions 3-7):

Question 3

A process for making plastic name badges for Gies students attending iConverge consists of two tasks, Task 1: Molding, followed by Task 2: Polishing. It takes 3 minutes to mold a badge at a Task 1 workstation, and 2 minutes to polish a badge at a Task 2 workstation. There are 2 identical workstations for molding (i.e., 2 badges are molded at the same time) and 1 workstation for polishing.

Based on the information provided, and showing your work including any formula you use, please calculate what is the overall hourly capacity of Task 1: Molding. Please include the units for your response.

Question 4

Based on the information provided, and showing your work including any formula you use, please calculate what is the overall hourly capacity of Task 2: Polishing. Please include the units for your response.

Question 5

Which is the bottleneck task in this badge making process? Please indicate how you identified the bottleneck task.

Question 6

Assuming there is no waiting or inventory of badges in the process, and showing your work, please calculate the throughput time in minutes for a badge to be completed through this process.

Question 7: 

For this question, ignore all the quantitative information provided earlier and the previous four questions but keep the scenario of the badge making process. Treat the quantitative information provided below as fresh information.

You are given the flow rate of the badge making process to be 24 badges per hour. You are also given the throughput time for a badge to be completed through this two-task process to be 10 minutes. Showing your work, including any formula you use, please calculate how many units of badges would be in the process?

 

Question 8: 

The information in this paragraph applies to this question and the question that follows (so, questions 8-9).

In the Krzyzewski Sports Agency, each application package for new employees is designated to one Human Resource (HR) manager. An HR manager needs 5 minutes to go through the material and determine whether the applicant can move to the interview round.

Showing your work, including any formula you use, please calculate the capacity in applications per hour for each HR manager screening applications at Krzyzewski Sports Agency.

Question 9: 

Showing your work, including any formula you use, please calculate the overall capacity in applications per hour if the Krzyzewski Sports Agency has 30 HR managers.

Question 10: 

At Dr. LaShawn Daniels’ clinic, each patient spends 6 minutes on average to get her or his vital signs checked. There are 8 rooms with nurses dedicated to this task. Patients that go through the task = 360 per day. Regular working time after reducing time for breaks = 6 hours per day. Showing your work, including any formula you use, please calculate the capacity utilization for the Vital Signs Check task, in percentage?

 

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