HW-2 OM 235H Sp 2024 (12-8-2024)

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University of Texas *

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235H

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Mathematics

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Apr 3, 2024

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1 Spring 2024 OM 235H Homework-2 (20 points) Please place each of your answers inside the rectangular box that follows each question. The value of each question is shown next to its answer box. Question 1. Four delivery companies compete on the basis of price (that they charge) and service quality (from 0 = poor quality rating to 100 = high quality rating) they offer, as shown in the following table: Company Price Service Quality Rating A $103.90 95 B $98.50 91 C $127.20 98 D $111.40 94 Which company is not on the efficient frontier? (1) Question 2. Which of the following items (a, b, c or d) would be considered a resource in the operation of a soft drink manufacturer? (a) Water; (b) Bottling Machines; (c) Empty Bottles; (d) Sugar (1) Question 3 . Over the course of a month, which of the following (a, b, c or d) is most likely to be an appropriate flow unit for a capacity analysis of a hospital? (a) Physician; (b) Patient Bed; (c) Parking Spot; (d) Patient (1) Question 4. Consider the following Time Stamp data for calls arriving at the reservation desk of ABC, Inc. a popular ferry service. Caller Time In Time Out 1 8:01 8:05 2 8:02 8:07 3 8:06 8:08 4 8:09 8:12 5 8:10 8:15 6 8:12 8:20 7 8:16 8:19 8 8:17 8:19 (a) What is the flow rate of calls (in calls/ minute) from 8:00 a.m. to 8:20 a.m.? . (1) (b) What is the average flow time (in minutes) of calls from 8:00 a.m. to 8:20 a.m.? (1)
2 Question 5 . One of the chairlifts at a ski resort unloads 1,800 skiers per hour at the top of the slope. The ride on the lift takes 12 minutes. How many skiers on average are riding on the lift at any given time? (1) Question 6 . Patients take a drug for acne for 6 months and there are 150,000 new patients each month. How many patients are taking this drug on average at any given time? (1) Question 7 . It takes 12 minutes to bake bread in an oven that can bake 840 units of bread simultaneously. How many units of bread can the oven produce per hour? (1) Question 8 . There are on average 1,200 tourists in LaVilla, a popular resort in the Italian Alps. On average, skiers stay in LaVilla for 10 days. How many new tourists are arriving, on average, in LaVilla every day? (1) Question 9 . Consider the check-in process of an airline. From 9 am to 10 am, 240 passengers checked in. The average number of passengers waiting to check in was 30. How long (in minutes) did the average passenger have to wait to check in? (1) Question 10 . A consulting company must hire 15 new associates per year to replace those who leave. The company employs 120 associates overall. How long (in years) is the average associate employed at the consulting company? (1) Question 11 . A community health system’s home -visit nurse team consists of 12 nurses working in the local community. It takes a nurse 1.5 hours (the time between when the nurse leaves for a patient visit and when the nurse returns after the patient visit) per visit. What is the capacity (in number of home visits) of the nurse team over the course of a 9-hour workday? (1)
3 Question 12 . Read item #4 (A small, privately owned Asian company …) in Problems and Applications section at the end of Chapter Three of C&T (Cachon & Terwiesch text) and answer the following questions. (a) What is the capacity (bottles/ hour) of the process step “Apply a lid”? (1) (b) Where is the bottleneck in the process? (1) (c) Assuming unlimited demand, what would be the flow rate (bottles/hour)? (1) Question 13. Read item #7 (A small mortgage lender …) in Problems and Applications section at the end of Chapter Three of C&T (Cachon & Terwiesch text) and answer the following questions. (a) What is (are) the bottleneck of the process? (1) (b) Assuming unlimited demand, what is the process flow rate (in loans/week)? (1) (c) If the process flow rate is 0.5 loan/hour, what is the cycle time (in hours)? (1) (d) What is the rush order flow time (in hours)? (1) (e) Assuming that the office currently has no backlog of loans that it is processing and assuming unlimited demand, how long (in hours) will it take to process 5 loans? (1)
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